---
_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: '64672'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Upper bounds for continuous seminorms and special properties of
    bilinear maps. <i>Topology and its Applications</i>. 2012;159(13):2990–3001. doi:<a
    href="https://doi.org/10.1016/j.topol.2012.05.010">10.1016/j.topol.2012.05.010</a>
  apa: Glöckner, H. (2012). Upper bounds for continuous seminorms and special properties
    of bilinear maps. <i>Topology and Its Applications</i>, <i>159</i>(13), 2990–3001.
    <a href="https://doi.org/10.1016/j.topol.2012.05.010">https://doi.org/10.1016/j.topol.2012.05.010</a>
  bibtex: '@article{Glöckner_2012, title={Upper bounds for continuous seminorms and
    special properties of bilinear maps}, volume={159}, DOI={<a href="https://doi.org/10.1016/j.topol.2012.05.010">10.1016/j.topol.2012.05.010</a>},
    number={13}, journal={Topology and its Applications}, author={Glöckner, Helge},
    year={2012}, pages={2990–3001} }'
  chicago: 'Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties
    of Bilinear Maps.” <i>Topology and Its Applications</i> 159, no. 13 (2012): 2990–3001.
    <a href="https://doi.org/10.1016/j.topol.2012.05.010">https://doi.org/10.1016/j.topol.2012.05.010</a>.'
  ieee: 'H. Glöckner, “Upper bounds for continuous seminorms and special properties
    of bilinear maps,” <i>Topology and its Applications</i>, vol. 159, no. 13, pp.
    2990–3001, 2012, doi: <a href="https://doi.org/10.1016/j.topol.2012.05.010">10.1016/j.topol.2012.05.010</a>.'
  mla: Glöckner, Helge. “Upper Bounds for Continuous Seminorms and Special Properties
    of Bilinear Maps.” <i>Topology and Its Applications</i>, vol. 159, no. 13, 2012,
    pp. 2990–3001, doi:<a href="https://doi.org/10.1016/j.topol.2012.05.010">10.1016/j.topol.2012.05.010</a>.
  short: H. Glöckner, Topology and Its Applications 159 (2012) 2990–3001.
date_created: 2026-02-26T11:04:46Z
date_updated: 2026-02-27T08:25:06Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.topol.2012.05.010
intvolume: '       159'
issue: '13'
keyword:
- 46A03
- 46F05
- 22D15
- 42A85
- 46A11
- 46A32
language:
- iso: eng
page: 2990–3001
publication: Topology and its Applications
publication_identifier:
  issn:
  - 0166-8641
quality_controlled: '1'
status: public
title: Upper bounds for continuous seminorms and special properties of bilinear maps
type: journal_article
user_id: '178'
volume: 159
year: '2012'
...
---
_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: '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'
...
---
_id: '64703'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Diff(R^n) as a Milnor-Lie group. <i>Mathematische Nachrichten</i>.
    2005;278(9):1025–1032. doi:<a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>
  apa: Glöckner, H. (2005). Diff(R^n) as a Milnor-Lie group. <i>Mathematische Nachrichten</i>,
    <i>278</i>(9), 1025–1032. <a href="https://doi.org/10.1002/mana.200310288">https://doi.org/10.1002/mana.200310288</a>
  bibtex: '@article{Glöckner_2005, title={Diff(R^n) as a Milnor-Lie group}, volume={278},
    DOI={<a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>},
    number={9}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2005},
    pages={1025–1032} }'
  chicago: 'Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” <i>Mathematische Nachrichten</i>
    278, no. 9 (2005): 1025–1032. <a href="https://doi.org/10.1002/mana.200310288">https://doi.org/10.1002/mana.200310288</a>.'
  ieee: 'H. Glöckner, “Diff(R^n) as a Milnor-Lie group,” <i>Mathematische Nachrichten</i>,
    vol. 278, no. 9, pp. 1025–1032, 2005, doi: <a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>.'
  mla: Glöckner, Helge. “Diff(R^n) as a Milnor-Lie Group.” <i>Mathematische Nachrichten</i>,
    vol. 278, no. 9, 2005, pp. 1025–1032, doi:<a href="https://doi.org/10.1002/mana.200310288">10.1002/mana.200310288</a>.
  short: H. Glöckner, Mathematische Nachrichten 278 (2005) 1025–1032.
date_created: 2026-02-26T12:05:15Z
date_updated: 2026-02-27T07:55:01Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1002/mana.200310288
extern: '1'
intvolume: '       278'
issue: '9'
keyword:
- 58D05
- '22E65'
- 46F05
- 46T20
language:
- iso: eng
page: 1025–1032
publication: Mathematische Nachrichten
publication_identifier:
  issn:
  - 0025-584X
quality_controlled: '1'
status: public
title: Diff(R^n) as a Milnor-Lie group
type: journal_article
user_id: '178'
volume: 278
year: '2005'
...
---
_id: '64721'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Algebras whose groups of units are Lie groups. <i>Studia Mathematica</i>.
    2002;153(2):147–177. doi:<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>
  apa: Glöckner, H. (2002). Algebras whose groups of units are Lie groups. <i>Studia
    Mathematica</i>, <i>153</i>(2), 147–177. <a href="https://doi.org/10.4064/sm153-2-4">https://doi.org/10.4064/sm153-2-4</a>
  bibtex: '@article{Glöckner_2002, title={Algebras whose groups of units are Lie groups},
    volume={153}, DOI={<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>},
    number={2}, journal={Studia Mathematica}, author={Glöckner, Helge}, year={2002},
    pages={147–177} }'
  chicago: 'Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” <i>Studia
    Mathematica</i> 153, no. 2 (2002): 147–177. <a href="https://doi.org/10.4064/sm153-2-4">https://doi.org/10.4064/sm153-2-4</a>.'
  ieee: 'H. Glöckner, “Algebras whose groups of units are Lie groups,” <i>Studia Mathematica</i>,
    vol. 153, no. 2, pp. 147–177, 2002, doi: <a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>.'
  mla: Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” <i>Studia
    Mathematica</i>, vol. 153, no. 2, 2002, pp. 147–177, doi:<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>.
  short: H. Glöckner, Studia Mathematica 153 (2002) 147–177.
date_created: 2026-02-26T13:00:20Z
date_updated: 2026-02-27T07:42:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4064/sm153-2-4
extern: '1'
intvolume: '       153'
issue: '2'
keyword:
- '22E65'
- '46E25'
- 46F05
- 46H05
- 46H30
language:
- iso: eng
page: 147–177
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
quality_controlled: '1'
status: public
title: Algebras whose groups of units are Lie groups
type: journal_article
user_id: '178'
volume: 153
year: '2002'
...