---
_id: '64700'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Hölder continuous homomorphisms between infinite-dimensional Lie
    groups are smooth. <i>Journal of Functional Analysis</i>. 2005;228(2):419–444.
    doi:<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>
  apa: Glöckner, H. (2005). Hölder continuous homomorphisms between infinite-dimensional
    Lie groups are smooth. <i>Journal of Functional Analysis</i>, <i>228</i>(2), 419–444.
    <a href="https://doi.org/10.1016/j.jfa.2005.06.023">https://doi.org/10.1016/j.jfa.2005.06.023</a>
  bibtex: '@article{Glöckner_2005, title={Hölder continuous homomorphisms between
    infinite-dimensional Lie groups are smooth}, volume={228}, DOI={<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>},
    number={2}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2005}, pages={419–444} }'
  chicago: 'Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional
    Lie Groups Are Smooth.” <i>Journal of Functional Analysis</i> 228, no. 2 (2005):
    419–444. <a href="https://doi.org/10.1016/j.jfa.2005.06.023">https://doi.org/10.1016/j.jfa.2005.06.023</a>.'
  ieee: 'H. Glöckner, “Hölder continuous homomorphisms between infinite-dimensional
    Lie groups are smooth,” <i>Journal of Functional Analysis</i>, vol. 228, no. 2,
    pp. 419–444, 2005, doi: <a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>.'
  mla: Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional
    Lie Groups Are Smooth.” <i>Journal of Functional Analysis</i>, vol. 228, no. 2,
    2005, pp. 419–444, doi:<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>.
  short: H. Glöckner, Journal of Functional Analysis 228 (2005) 419–444.
date_created: 2026-02-26T12:01:38Z
date_updated: 2026-02-27T07:56:38Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.jfa.2005.06.023
extern: '1'
intvolume: '       228'
issue: '2'
keyword:
- '22E65'
- '22E35'
- '26E15'
- '26E20'
- '26E30'
- 46S10
- 46T20
- 58C20
language:
- iso: eng
page: 419–444
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Hölder continuous homomorphisms between infinite-dimensional Lie groups are
  smooth
type: journal_article
user_id: '178'
volume: 228
year: '2005'
...
---
_id: '64702'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Conveniently Hölder homomorphisms are smooth in the convenient
    sense. <i>Annals of Global Analysis and Geometry</i>. 2005;27(3):227–255. doi:<a
    href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>
  apa: Glöckner, H. (2005). Conveniently Hölder homomorphisms are smooth in the convenient
    sense. <i>Annals of Global Analysis and Geometry</i>, <i>27</i>(3), 227–255. <a
    href="https://doi.org/10.1007/s10455-005-0040-z">https://doi.org/10.1007/s10455-005-0040-z</a>
  bibtex: '@article{Glöckner_2005, title={Conveniently Hölder homomorphisms are smooth
    in the convenient sense}, volume={27}, DOI={<a href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>},
    number={3}, journal={Annals of Global Analysis and Geometry}, author={Glöckner,
    Helge}, year={2005}, pages={227–255} }'
  chicago: 'Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the
    Convenient Sense.” <i>Annals of Global Analysis and Geometry</i> 27, no. 3 (2005):
    227–255. <a href="https://doi.org/10.1007/s10455-005-0040-z">https://doi.org/10.1007/s10455-005-0040-z</a>.'
  ieee: 'H. Glöckner, “Conveniently Hölder homomorphisms are smooth in the convenient
    sense,” <i>Annals of Global Analysis and Geometry</i>, vol. 27, no. 3, pp. 227–255,
    2005, doi: <a href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>.'
  mla: Glöckner, Helge. “Conveniently Hölder Homomorphisms Are Smooth in the Convenient
    Sense.” <i>Annals of Global Analysis and Geometry</i>, vol. 27, no. 3, 2005, pp.
    227–255, doi:<a href="https://doi.org/10.1007/s10455-005-0040-z">10.1007/s10455-005-0040-z</a>.
  short: H. Glöckner, Annals of Global Analysis and Geometry 27 (2005) 227–255.
date_created: 2026-02-26T12:04:07Z
date_updated: 2026-02-27T07:55:39Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10455-005-0040-z
extern: '1'
intvolume: '        27'
issue: '3'
keyword:
- '22E65'
- '26E15'
- '26E20'
- 46T20
- 58C20
language:
- iso: eng
page: 227–255
publication: Annals of Global Analysis and Geometry
publication_identifier:
  issn:
  - 0232-704X
quality_controlled: '1'
status: public
title: Conveniently Hölder homomorphisms are smooth in the convenient sense
type: journal_article
user_id: '178'
volume: 27
year: '2005'
...
---
_id: '64707'
article_type: original
author:
- first_name: W.
  full_name: Bertram, W.
  last_name: Bertram
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: K.-H.
  full_name: Neeb, K.-H.
  last_name: Neeb
citation:
  ama: Bertram W, Glöckner H, Neeb K-H. Differential calculus over general base fields
    and rings. <i>Expositiones Mathematicae</i>. 2004;22(3):213–282. doi:<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>
  apa: Bertram, W., Glöckner, H., &#38; Neeb, K.-H. (2004). Differential calculus
    over general base fields and rings. <i>Expositiones Mathematicae</i>, <i>22</i>(3),
    213–282. <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">https://doi.org/10.1016/S0723-0869(04)80006-9</a>
  bibtex: '@article{Bertram_Glöckner_Neeb_2004, title={Differential calculus over
    general base fields and rings.}, volume={22}, DOI={<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>},
    number={3}, journal={Expositiones Mathematicae}, author={Bertram, W. and Glöckner,
    Helge and Neeb, K.-H.}, year={2004}, pages={213–282} }'
  chicago: 'Bertram, W., Helge Glöckner, and K.-H. Neeb. “Differential Calculus over
    General Base Fields and Rings.” <i>Expositiones Mathematicae</i> 22, no. 3 (2004):
    213–282. <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">https://doi.org/10.1016/S0723-0869(04)80006-9</a>.'
  ieee: 'W. Bertram, H. Glöckner, and K.-H. Neeb, “Differential calculus over general
    base fields and rings.,” <i>Expositiones Mathematicae</i>, vol. 22, no. 3, pp.
    213–282, 2004, doi: <a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>.'
  mla: Bertram, W., et al. “Differential Calculus over General Base Fields and Rings.”
    <i>Expositiones Mathematicae</i>, vol. 22, no. 3, 2004, pp. 213–282, doi:<a href="https://doi.org/10.1016/S0723-0869(04)80006-9">10.1016/S0723-0869(04)80006-9</a>.
  short: W. Bertram, H. Glöckner, K.-H. Neeb, Expositiones Mathematicae 22 (2004)
    213–282.
date_created: 2026-02-26T12:10:36Z
date_updated: 2026-02-27T07:51:59Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/S0723-0869(04)80006-9
extern: '1'
intvolume: '        22'
issue: '3'
keyword:
- 58C20
- '22E65'
- '26E15'
- '26E20'
- '26E30'
language:
- iso: eng
page: 213–282
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Differential calculus over general base fields and rings.
type: journal_article
user_id: '178'
volume: 22
year: '2004'
...
---
_id: '64706'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Examples of differentiable mappings into non-locally convex spaces.
    <i>Topology Proceedings</i>. 2004;28(2):479–486.
  apa: Glöckner, H. (2004). Examples of differentiable mappings into non-locally convex
    spaces. <i>Topology Proceedings</i>, <i>28</i>(2), 479–486.
  bibtex: '@article{Glöckner_2004, title={Examples of differentiable mappings into
    non-locally convex spaces.}, volume={28}, number={2}, journal={Topology Proceedings},
    author={Glöckner, Helge}, year={2004}, pages={479–486} }'
  chicago: 'Glöckner, Helge. “Examples of Differentiable Mappings into Non-Locally
    Convex Spaces.” <i>Topology Proceedings</i> 28, no. 2 (2004): 479–486.'
  ieee: H. Glöckner, “Examples of differentiable mappings into non-locally convex
    spaces.,” <i>Topology Proceedings</i>, vol. 28, no. 2, pp. 479–486, 2004.
  mla: Glöckner, Helge. “Examples of Differentiable Mappings into Non-Locally Convex
    Spaces.” <i>Topology Proceedings</i>, vol. 28, no. 2, 2004, pp. 479–486.
  short: H. Glöckner, Topology Proceedings 28 (2004) 479–486.
date_created: 2026-02-26T12:09:21Z
date_updated: 2026-02-27T07:52:33Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
intvolume: '        28'
issue: '2'
keyword:
- 58C20
- 46G05
- '26E20'
- 46A16
- 46G20
language:
- iso: eng
page: 479–486
publication: Topology Proceedings
publication_identifier:
  issn:
  - 0146-4124
quality_controlled: '1'
status: public
title: Examples of differentiable mappings into non-locally convex spaces.
type: journal_article
user_id: '178'
volume: 28
year: '2004'
...
---
_id: '64716'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Infinite-dimensional Lie groups without completeness restrictions.
    In: <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings
    of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>. Warszawa: Polish Academy of Sciences, Institute of Mathematics; 2002:43–59.'
  apa: 'Glöckner, H. (2002). Infinite-dimensional Lie groups without completeness
    restrictions. In <i>Geometry and analysis on finite- and infinite-dimensional
    Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo,
    Poland, September 4–15, 2000</i> (pp. 43–59). Warszawa: Polish Academy of Sciences,
    Institute of Mathematics.'
  bibtex: '@inbook{Glöckner_2002, title={Infinite-dimensional Lie groups without completeness
    restrictions}, booktitle={Geometry and analysis on finite- and infinite-dimensional
    Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo,
    Poland, September 4–15, 2000}, publisher={Warszawa: Polish Academy of Sciences,
    Institute of Mathematics}, author={Glöckner, Helge}, year={2002}, pages={43–59}
    }'
  chicago: 'Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness
    Restrictions.” In <i>Geometry and Analysis on Finite- and Infinite-Dimensional
    Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo,
    Poland, September 4–15, 2000</i>, 43–59. Warszawa: Polish Academy of Sciences,
    Institute of Mathematics, 2002.'
  ieee: 'H. Glöckner, “Infinite-dimensional Lie groups without completeness restrictions,”
    in <i>Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings
    of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002,
    pp. 43–59.'
  mla: 'Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness Restrictions.”
    <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings
    of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002,
    pp. 43–59.'
  short: 'H. Glöckner, in: Geometry and Analysis on Finite- and Infinite-Dimensional
    Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo,
    Poland, September 4–15, 2000, Warszawa: Polish Academy of Sciences, Institute
    of Mathematics, 2002, pp. 43–59.'
date_created: 2026-02-26T12:23:24Z
date_updated: 2026-02-26T12:24:02Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- 58C20
- '22E65'
- 46T20
- 46T25
language:
- iso: eng
page: 43–59
publication: Geometry and analysis on finite- and infinite-dimensional Lie groups.
  Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September
  4–15, 2000
publisher: 'Warszawa: Polish Academy of Sciences, Institute of Mathematics'
quality_controlled: '1'
status: public
title: Infinite-dimensional Lie groups without completeness restrictions
type: book_chapter
user_id: '178'
year: '2002'
...