Approximation of Lipschitz Mappings

Johanis, Michal

Serdica Mathematical Journal (2003)

  • Volume: 29, Issue: 2, page 141-148
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.

How to cite

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Johanis, Michal. "Approximation of Lipschitz Mappings." Serdica Mathematical Journal 29.2 (2003): 141-148. <http://eudml.org/doc/219548>.

@article{Johanis2003,
abstract = {2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.},
author = {Johanis, Michal},
journal = {Serdica Mathematical Journal},
keywords = {Approximation; Uniform Gâteaux Differentiability; Lipschitz Mappings; approximation; uniform Gâteaux differentiability; Lipschitz mappings},
language = {eng},
number = {2},
pages = {141-148},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Approximation of Lipschitz Mappings},
url = {http://eudml.org/doc/219548},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Johanis, Michal
TI - Approximation of Lipschitz Mappings
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 2
SP - 141
EP - 148
AB - 2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201-01-1198, AV 101-90-03. This paper is a part of PhD thesis prepared under the supervision of Professor Petr Hájek.
LA - eng
KW - Approximation; Uniform Gâteaux Differentiability; Lipschitz Mappings; approximation; uniform Gâteaux differentiability; Lipschitz mappings
UR - http://eudml.org/doc/219548
ER -

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