---
_id: '64746'
article_type: original
author:
- first_name: Rafael
  full_name: Dahmen, Rafael
  last_name: Dahmen
citation:
  ama: Dahmen R. Analytic mappings between LB-spaces and applications in infinite-dimensional
    Lie theory. <i>Mathematische Zeitschrift</i>. 2010;266(1):115–140. doi:<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>
  apa: Dahmen, R. (2010). Analytic mappings between LB-spaces and applications in
    infinite-dimensional Lie theory. <i>Mathematische Zeitschrift</i>, <i>266</i>(1),
    115–140. <a href="https://doi.org/10.1007/s00209-009-0557-0">https://doi.org/10.1007/s00209-009-0557-0</a>
  bibtex: '@article{Dahmen_2010, title={Analytic mappings between LB-spaces and applications
    in infinite-dimensional Lie theory}, volume={266}, DOI={<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>},
    number={1}, journal={Mathematische Zeitschrift}, author={Dahmen, Rafael}, year={2010},
    pages={115–140} }'
  chicago: 'Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications
    in Infinite-Dimensional Lie Theory.” <i>Mathematische Zeitschrift</i> 266, no.
    1 (2010): 115–140. <a href="https://doi.org/10.1007/s00209-009-0557-0">https://doi.org/10.1007/s00209-009-0557-0</a>.'
  ieee: 'R. Dahmen, “Analytic mappings between LB-spaces and applications in infinite-dimensional
    Lie theory,” <i>Mathematische Zeitschrift</i>, vol. 266, no. 1, pp. 115–140, 2010,
    doi: <a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>.'
  mla: Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications in Infinite-Dimensional
    Lie Theory.” <i>Mathematische Zeitschrift</i>, vol. 266, no. 1, 2010, pp. 115–140,
    doi:<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>.
  short: R. Dahmen, Mathematische Zeitschrift 266 (2010) 115–140.
date_created: 2026-02-26T20:11:17Z
date_updated: 2026-02-27T07:35:57Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s00209-009-0557-0
intvolume: '       266'
issue: '1'
keyword:
- '22E65'
- 46G20
- '26E15'
- '26E20'
- 46T10
- 46T25
language:
- iso: eng
page: 115–140
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
quality_controlled: '1'
status: public
title: Analytic mappings between LB-spaces and applications in infinite-dimensional
  Lie theory
type: journal_article
user_id: '178'
volume: 266
year: '2010'
...
---
_id: '64682'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus. In: <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>. Berlin: Springer; 2009:171–186. doi:<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>'
  apa: 'Glöckner, H. (2009). Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus. In <i>Generalized Lie theory in mathematics, physics and
    beyond</i> (pp. 171–186). Berlin: Springer. <a href="https://doi.org/10.1007/978-3-540-85332-9_16">https://doi.org/10.1007/978-3-540-85332-9_16</a>'
  bibtex: '@inbook{Glöckner_2009, title={Applications of hypocontinuous bilinear maps
    in infinite-dimensional differential calculus}, DOI={<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>},
    booktitle={Generalized Lie theory in mathematics, physics and beyond}, publisher={Berlin:
    Springer}, author={Glöckner, Helge}, year={2009}, pages={171–186} }'
  chicago: 'Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional
    Differential Calculus.” In <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>, 171–186. Berlin: Springer, 2009. <a href="https://doi.org/10.1007/978-3-540-85332-9_16">https://doi.org/10.1007/978-3-540-85332-9_16</a>.'
  ieee: 'H. Glöckner, “Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus,” in <i>Generalized Lie theory in mathematics, physics and
    beyond</i>, Berlin: Springer, 2009, pp. 171–186.'
  mla: 'Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional
    Differential Calculus.” <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>, Berlin: Springer, 2009, pp. 171–186, doi:<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>.'
  short: 'H. Glöckner, in: Generalized Lie Theory in Mathematics, Physics and Beyond,
    Berlin: Springer, 2009, pp. 171–186.'
date_created: 2026-02-26T11:18:25Z
date_updated: 2026-02-26T11:19:09Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/978-3-540-85332-9_16
keyword:
- 46G20
- 46A99
- 47A07
language:
- iso: eng
page: 171–186
publication: Generalized Lie theory in mathematics, physics and beyond
publication_identifier:
  isbn:
  - 978-3-540-85331-2
publisher: 'Berlin: Springer'
quality_controlled: '1'
status: public
title: Applications of hypocontinuous bilinear maps in infinite-dimensional differential
  calculus
type: book_chapter
user_id: '178'
year: '2009'
...
---
_id: '64687'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Instructive examples of smooth, complex differentiable and complex
    analytic mappings into locally convex spaces. <i>Journal of Mathematics of Kyoto
    University</i>. 2007;47(3):631–642. doi:<a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>
  apa: Glöckner, H. (2007). Instructive examples of smooth, complex differentiable
    and complex analytic mappings into locally convex spaces. <i>Journal of Mathematics
    of Kyoto University</i>, <i>47</i>(3), 631–642. <a href="https://doi.org/10.1215/kjm/1250281028">https://doi.org/10.1215/kjm/1250281028</a>
  bibtex: '@article{Glöckner_2007, title={Instructive examples of smooth, complex
    differentiable and complex analytic mappings into locally convex spaces}, volume={47},
    DOI={<a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>},
    number={3}, journal={Journal of Mathematics of Kyoto University}, author={Glöckner,
    Helge}, year={2007}, pages={631–642} }'
  chicago: 'Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable
    and Complex Analytic Mappings into Locally Convex Spaces.” <i>Journal of Mathematics
    of Kyoto University</i> 47, no. 3 (2007): 631–642. <a href="https://doi.org/10.1215/kjm/1250281028">https://doi.org/10.1215/kjm/1250281028</a>.'
  ieee: 'H. Glöckner, “Instructive examples of smooth, complex differentiable and
    complex analytic mappings into locally convex spaces,” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 47, no. 3, pp. 631–642, 2007, doi: <a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>.'
  mla: Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable and
    Complex Analytic Mappings into Locally Convex Spaces.” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 47, no. 3, 2007, pp. 631–642, doi:<a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>.
  short: H. Glöckner, Journal of Mathematics of Kyoto University 47 (2007) 631–642.
date_created: 2026-02-26T11:28:31Z
date_updated: 2026-02-27T08:18:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1215/kjm/1250281028
intvolume: '        47'
issue: '3'
keyword:
- 46G20
- '26E05'
- '26E15'
- '26E20'
- 46T25
language:
- iso: eng
page: 631–642
publication: Journal of Mathematics of Kyoto University
publication_identifier:
  issn:
  - 0023-608X
quality_controlled: '1'
status: public
title: Instructive examples of smooth, complex differentiable and complex analytic
  mappings into locally convex spaces
type: journal_article
user_id: '178'
volume: 47
year: '2007'
...
---
_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'
...