---
_id: '64630'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Completeness of infinite-dimensional Lie groups in their left uniformity.
    <i>Canadian Journal of Mathematics</i>. 2019;71(1):131–152. doi:<a href="https://doi.org/10.4153/CJM-2017-048-5">10.4153/CJM-2017-048-5</a>
  apa: Glöckner, H. (2019). Completeness of infinite-dimensional Lie groups in their
    left uniformity. <i>Canadian Journal of Mathematics</i>, <i>71</i>(1), 131–152.
    <a href="https://doi.org/10.4153/CJM-2017-048-5">https://doi.org/10.4153/CJM-2017-048-5</a>
  bibtex: '@article{Glöckner_2019, title={Completeness of infinite-dimensional Lie
    groups in their left uniformity}, volume={71}, DOI={<a href="https://doi.org/10.4153/CJM-2017-048-5">10.4153/CJM-2017-048-5</a>},
    number={1}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge},
    year={2019}, pages={131–152} }'
  chicago: 'Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their
    Left Uniformity.” <i>Canadian Journal of Mathematics</i> 71, no. 1 (2019): 131–152.
    <a href="https://doi.org/10.4153/CJM-2017-048-5">https://doi.org/10.4153/CJM-2017-048-5</a>.'
  ieee: 'H. Glöckner, “Completeness of infinite-dimensional Lie groups in their left
    uniformity,” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, pp. 131–152,
    2019, doi: <a href="https://doi.org/10.4153/CJM-2017-048-5">10.4153/CJM-2017-048-5</a>.'
  mla: Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their
    Left Uniformity.” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, 2019,
    pp. 131–152, doi:<a href="https://doi.org/10.4153/CJM-2017-048-5">10.4153/CJM-2017-048-5</a>.
  short: H. Glöckner, Canadian Journal of Mathematics 71 (2019) 131–152.
date_created: 2026-02-26T07:03:36Z
date_updated: 2026-02-27T08:33:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4153/CJM-2017-048-5
intvolume: '        71'
issue: '1'
keyword:
- '22E65'
- 22A05
- '22E67'
- 46A13
- 46M40
- 58D05
language:
- iso: eng
page: 131–152
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
quality_controlled: '1'
status: public
title: Completeness of infinite-dimensional Lie groups in their left uniformity
type: journal_article
user_id: '178'
volume: 71
year: '2019'
...
---
_id: '64634'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Completeness of locally k_ω-groups and related infinite-dimensional
    Lie groups. <i>Topology and its Applications</i>. 2017;228:277–284. doi:<a href="https://doi.org/10.1016/j.topol.2017.05.007">10.1016/j.topol.2017.05.007</a>
  apa: Glöckner, H. (2017). Completeness of locally k_ω-groups and related infinite-dimensional
    Lie groups. <i>Topology and Its Applications</i>, <i>228</i>, 277–284. <a href="https://doi.org/10.1016/j.topol.2017.05.007">https://doi.org/10.1016/j.topol.2017.05.007</a>
  bibtex: '@article{Glöckner_2017, title={Completeness of locally k_ω-groups and related
    infinite-dimensional Lie groups}, volume={228}, DOI={<a href="https://doi.org/10.1016/j.topol.2017.05.007">10.1016/j.topol.2017.05.007</a>},
    journal={Topology and its Applications}, author={Glöckner, Helge}, year={2017},
    pages={277–284} }'
  chicago: 'Glöckner, Helge. “Completeness of Locally K_ω-Groups and Related Infinite-Dimensional
    Lie Groups.” <i>Topology and Its Applications</i> 228 (2017): 277–284. <a href="https://doi.org/10.1016/j.topol.2017.05.007">https://doi.org/10.1016/j.topol.2017.05.007</a>.'
  ieee: 'H. Glöckner, “Completeness of locally k_ω-groups and related infinite-dimensional
    Lie groups,” <i>Topology and its Applications</i>, vol. 228, pp. 277–284, 2017,
    doi: <a href="https://doi.org/10.1016/j.topol.2017.05.007">10.1016/j.topol.2017.05.007</a>.'
  mla: Glöckner, Helge. “Completeness of Locally K_ω-Groups and Related Infinite-Dimensional
    Lie Groups.” <i>Topology and Its Applications</i>, vol. 228, 2017, pp. 277–284,
    doi:<a href="https://doi.org/10.1016/j.topol.2017.05.007">10.1016/j.topol.2017.05.007</a>.
  short: H. Glöckner, Topology and Its Applications 228 (2017) 277–284.
date_created: 2026-02-26T07:21:22Z
date_updated: 2026-02-27T08:33:12Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.topol.2017.05.007
intvolume: '       228'
keyword:
- '22E65'
- 22A05
- 46A13
- 46M40
- 58D05
language:
- iso: eng
page: 277–284
publication: Topology and its Applications
publication_identifier:
  issn:
  - 0166-8641
quality_controlled: '1'
status: public
title: Completeness of locally k_ω-groups and related infinite-dimensional Lie groups
type: journal_article
user_id: '178'
volume: 228
year: '2017'
...
---
_id: '64667'
article_type: original
author:
- first_name: Lidia
  full_name: Birth, Lidia
  last_name: Birth
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Birth L, Glöckner H. Continuity of convolution of test functions on Lie groups.
    <i>Canadian Journal of Mathematics</i>. 2014;66(1):102–140. doi:<a href="https://doi.org/10.4153/CJM-2012-035-6">10.4153/CJM-2012-035-6</a>
  apa: Birth, L., &#38; Glöckner, H. (2014). Continuity of convolution of test functions
    on Lie groups. <i>Canadian Journal of Mathematics</i>, <i>66</i>(1), 102–140.
    <a href="https://doi.org/10.4153/CJM-2012-035-6">https://doi.org/10.4153/CJM-2012-035-6</a>
  bibtex: '@article{Birth_Glöckner_2014, title={Continuity of convolution of test
    functions on Lie groups}, volume={66}, DOI={<a href="https://doi.org/10.4153/CJM-2012-035-6">10.4153/CJM-2012-035-6</a>},
    number={1}, journal={Canadian Journal of Mathematics}, author={Birth, Lidia and
    Glöckner, Helge}, year={2014}, pages={102–140} }'
  chicago: 'Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions
    on Lie Groups.” <i>Canadian Journal of Mathematics</i> 66, no. 1 (2014): 102–140.
    <a href="https://doi.org/10.4153/CJM-2012-035-6">https://doi.org/10.4153/CJM-2012-035-6</a>.'
  ieee: 'L. Birth and H. Glöckner, “Continuity of convolution of test functions on
    Lie groups,” <i>Canadian Journal of Mathematics</i>, vol. 66, no. 1, pp. 102–140,
    2014, doi: <a href="https://doi.org/10.4153/CJM-2012-035-6">10.4153/CJM-2012-035-6</a>.'
  mla: Birth, Lidia, and Helge Glöckner. “Continuity of Convolution of Test Functions
    on Lie Groups.” <i>Canadian Journal of Mathematics</i>, vol. 66, no. 1, 2014,
    pp. 102–140, doi:<a href="https://doi.org/10.4153/CJM-2012-035-6">10.4153/CJM-2012-035-6</a>.
  short: L. Birth, H. Glöckner, Canadian Journal of Mathematics 66 (2014) 102–140.
date_created: 2026-02-26T10:57:07Z
date_updated: 2026-02-27T08:28:36Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4153/CJM-2012-035-6
intvolume: '        66'
issue: '1'
keyword:
- '22E30'
- 46F05
- 22D15
- 42A85
- 43A10
- 43A15
- 46A03
- 46A13
- '46E25'
language:
- iso: eng
page: 102–140
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
quality_controlled: '1'
status: public
title: Continuity of convolution of test functions on Lie groups
type: journal_article
user_id: '178'
volume: 66
year: '2014'
...
---
_id: '64669'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Continuity of LF-algebra representations associated to representations
    of Lie groups. <i>Kyoto Journal of Mathematics</i>. 2013;53(3):567–595. doi:<a
    href="https://doi.org/10.1215/21562261-2265895">10.1215/21562261-2265895</a>
  apa: Glöckner, H. (2013). Continuity of LF-algebra representations associated to
    representations of Lie groups. <i>Kyoto Journal of Mathematics</i>, <i>53</i>(3),
    567–595. <a href="https://doi.org/10.1215/21562261-2265895">https://doi.org/10.1215/21562261-2265895</a>
  bibtex: '@article{Glöckner_2013, title={Continuity of LF-algebra representations
    associated to representations of Lie groups}, volume={53}, DOI={<a href="https://doi.org/10.1215/21562261-2265895">10.1215/21562261-2265895</a>},
    number={3}, journal={Kyoto Journal of Mathematics}, author={Glöckner, Helge},
    year={2013}, pages={567–595} }'
  chicago: 'Glöckner, Helge. “Continuity of LF-Algebra Representations Associated
    to Representations of Lie Groups.” <i>Kyoto Journal of Mathematics</i> 53, no.
    3 (2013): 567–595. <a href="https://doi.org/10.1215/21562261-2265895">https://doi.org/10.1215/21562261-2265895</a>.'
  ieee: 'H. Glöckner, “Continuity of LF-algebra representations associated to representations
    of Lie groups,” <i>Kyoto Journal of Mathematics</i>, vol. 53, no. 3, pp. 567–595,
    2013, doi: <a href="https://doi.org/10.1215/21562261-2265895">10.1215/21562261-2265895</a>.'
  mla: Glöckner, Helge. “Continuity of LF-Algebra Representations Associated to Representations
    of Lie Groups.” <i>Kyoto Journal of Mathematics</i>, vol. 53, no. 3, 2013, pp.
    567–595, doi:<a href="https://doi.org/10.1215/21562261-2265895">10.1215/21562261-2265895</a>.
  short: H. Glöckner, Kyoto Journal of Mathematics 53 (2013) 567–595.
date_created: 2026-02-26T11:00:29Z
date_updated: 2026-02-27T08:26:40Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1215/21562261-2265895
intvolume: '        53'
issue: '3'
keyword:
- '22E45'
- 22D12
- 46A13
- '46E25'
- 46F05
language:
- iso: eng
page: 567–595
publication: Kyoto Journal of Mathematics
publication_identifier:
  issn:
  - 2156-2261
quality_controlled: '1'
status: public
title: Continuity of LF-algebra representations associated to representations of Lie
  groups
type: journal_article
user_id: '178'
volume: 53
year: '2013'
...
---
_id: '64674'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Continuity of bilinear maps on direct sums of topological vector
    spaces. <i>Journal of Functional Analysis</i>. 2012;262(5):2013–2030. doi:<a href="https://doi.org/10.1016/j.jfa.2011.12.018">10.1016/j.jfa.2011.12.018</a>
  apa: Glöckner, H. (2012). Continuity of bilinear maps on direct sums of topological
    vector spaces. <i>Journal of Functional Analysis</i>, <i>262</i>(5), 2013–2030.
    <a href="https://doi.org/10.1016/j.jfa.2011.12.018">https://doi.org/10.1016/j.jfa.2011.12.018</a>
  bibtex: '@article{Glöckner_2012, title={Continuity of bilinear maps on direct sums
    of topological vector spaces}, volume={262}, DOI={<a href="https://doi.org/10.1016/j.jfa.2011.12.018">10.1016/j.jfa.2011.12.018</a>},
    number={5}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2012}, pages={2013–2030} }'
  chicago: 'Glöckner, Helge. “Continuity of Bilinear Maps on Direct Sums of Topological
    Vector Spaces.” <i>Journal of Functional Analysis</i> 262, no. 5 (2012): 2013–2030.
    <a href="https://doi.org/10.1016/j.jfa.2011.12.018">https://doi.org/10.1016/j.jfa.2011.12.018</a>.'
  ieee: 'H. Glöckner, “Continuity of bilinear maps on direct sums of topological vector
    spaces,” <i>Journal of Functional Analysis</i>, vol. 262, no. 5, pp. 2013–2030,
    2012, doi: <a href="https://doi.org/10.1016/j.jfa.2011.12.018">10.1016/j.jfa.2011.12.018</a>.'
  mla: Glöckner, Helge. “Continuity of Bilinear Maps on Direct Sums of Topological
    Vector Spaces.” <i>Journal of Functional Analysis</i>, vol. 262, no. 5, 2012,
    pp. 2013–2030, doi:<a href="https://doi.org/10.1016/j.jfa.2011.12.018">10.1016/j.jfa.2011.12.018</a>.
  short: H. Glöckner, Journal of Functional Analysis 262 (2012) 2013–2030.
date_created: 2026-02-26T11:07:19Z
date_updated: 2026-02-27T08:23:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.jfa.2011.12.018
intvolume: '       262'
issue: '5'
keyword:
- 46A03
- 46A13
- '46E10'
- 46F05
language:
- iso: eng
page: 2013–2030
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Continuity of bilinear maps on direct sums of topological vector spaces
type: journal_article
user_id: '178'
volume: 262
year: '2012'
...
---
_id: '64675'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Direct limits of infinite-dimensional Lie groups. In: <i>Developments
    and Trends in Infinite-Dimensional Lie Theory</i>. Basel: Birkhäuser; 2011:243–280.
    doi:<a href="https://doi.org/10.1007/978-0-8176-4741-4_8">10.1007/978-0-8176-4741-4_8</a>'
  apa: 'Glöckner, H. (2011). Direct limits of infinite-dimensional Lie groups. In
    <i>Developments and trends in infinite-dimensional Lie theory</i> (pp. 243–280).
    Basel: Birkhäuser. <a href="https://doi.org/10.1007/978-0-8176-4741-4_8">https://doi.org/10.1007/978-0-8176-4741-4_8</a>'
  bibtex: '@inbook{Glöckner_2011, title={Direct limits of infinite-dimensional Lie
    groups}, DOI={<a href="https://doi.org/10.1007/978-0-8176-4741-4_8">10.1007/978-0-8176-4741-4_8</a>},
    booktitle={Developments and trends in infinite-dimensional Lie theory}, publisher={Basel:
    Birkhäuser}, author={Glöckner, Helge}, year={2011}, pages={243–280} }'
  chicago: 'Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” In
    <i>Developments and Trends in Infinite-Dimensional Lie Theory</i>, 243–280. Basel:
    Birkhäuser, 2011. <a href="https://doi.org/10.1007/978-0-8176-4741-4_8">https://doi.org/10.1007/978-0-8176-4741-4_8</a>.'
  ieee: 'H. Glöckner, “Direct limits of infinite-dimensional Lie groups,” in <i>Developments
    and trends in infinite-dimensional Lie theory</i>, Basel: Birkhäuser, 2011, pp.
    243–280.'
  mla: 'Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups.” <i>Developments
    and Trends in Infinite-Dimensional Lie Theory</i>, Basel: Birkhäuser, 2011, pp.
    243–280, doi:<a href="https://doi.org/10.1007/978-0-8176-4741-4_8">10.1007/978-0-8176-4741-4_8</a>.'
  short: 'H. Glöckner, in: Developments and Trends in Infinite-Dimensional Lie Theory,
    Basel: Birkhäuser, 2011, pp. 243–280.'
date_created: 2026-02-26T11:08:44Z
date_updated: 2026-02-26T11:10:17Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/978-0-8176-4741-4_8
keyword:
- '22E65'
- '22E15'
- 46A13
- 46T05
- 54D50
language:
- iso: eng
page: 243–280
publication: Developments and trends in infinite-dimensional Lie theory
publication_identifier:
  isbn:
  - 978-0-8176-4740-7; 978-0-8176-4741-4
publisher: 'Basel: Birkhäuser'
quality_controlled: '1'
status: public
title: Direct limits of infinite-dimensional Lie groups
type: book_chapter
user_id: '178'
year: '2011'
...
---
_id: '64697'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Discontinuous non-linear mappings on locally convex direct limits.
    <i>Publicationes Mathematicae Debrecen</i>. 2006;68(1-2):1–13. doi:<a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>
  apa: Glöckner, H. (2006). Discontinuous non-linear mappings on locally convex direct
    limits. <i>Publicationes Mathematicae Debrecen</i>, <i>68</i>(1–2), 1–13. <a href="https://doi.org/10.5486/pmd.2006.2714">https://doi.org/10.5486/pmd.2006.2714</a>
  bibtex: '@article{Glöckner_2006, title={Discontinuous non-linear mappings on locally
    convex direct limits}, volume={68}, DOI={<a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>},
    number={1–2}, journal={Publicationes Mathematicae Debrecen}, author={Glöckner,
    Helge}, year={2006}, pages={1–13} }'
  chicago: 'Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex
    Direct Limits.” <i>Publicationes Mathematicae Debrecen</i> 68, no. 1–2 (2006):
    1–13. <a href="https://doi.org/10.5486/pmd.2006.2714">https://doi.org/10.5486/pmd.2006.2714</a>.'
  ieee: 'H. Glöckner, “Discontinuous non-linear mappings on locally convex direct
    limits,” <i>Publicationes Mathematicae Debrecen</i>, vol. 68, no. 1–2, pp. 1–13,
    2006, doi: <a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>.'
  mla: Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex Direct
    Limits.” <i>Publicationes Mathematicae Debrecen</i>, vol. 68, no. 1–2, 2006, pp.
    1–13, doi:<a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>.
  short: H. Glöckner, Publicationes Mathematicae Debrecen 68 (2006) 1–13.
date_created: 2026-02-26T11:57:08Z
date_updated: 2026-02-27T07:58:41Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.5486/pmd.2006.2714
extern: '1'
intvolume: '        68'
issue: 1-2
keyword:
- 46T20
- 46A13
- 46F05
- 46M40
- '22E65'
language:
- iso: eng
page: 1–13
publication: Publicationes Mathematicae Debrecen
publication_identifier:
  issn:
  - 0033-3883
quality_controlled: '1'
status: public
title: Discontinuous non-linear mappings on locally convex direct limits
type: journal_article
user_id: '178'
volume: 68
year: '2006'
...