A geometric approach to accretivity

Leonid V. Kovalev

Studia Mathematica (2007)

  • Volume: 181, Issue: 1, page 87-100
  • ISSN: 0039-3223

Abstract

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We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.

How to cite

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Leonid V. Kovalev. "A geometric approach to accretivity." Studia Mathematica 181.1 (2007): 87-100. <http://eudml.org/doc/284664>.

@article{LeonidV2007,
abstract = {We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.},
author = {Leonid V. Kovalev},
journal = {Studia Mathematica},
keywords = {accretivity; monotonicity; quasisymmetric mapping; Banach space; metric space},
language = {eng},
number = {1},
pages = {87-100},
title = {A geometric approach to accretivity},
url = {http://eudml.org/doc/284664},
volume = {181},
year = {2007},
}

TY - JOUR
AU - Leonid V. Kovalev
TI - A geometric approach to accretivity
JO - Studia Mathematica
PY - 2007
VL - 181
IS - 1
SP - 87
EP - 100
AB - We establish a connection between generalized accretive operators introduced by F. E. Browder and the theory of quasisymmetric mappings in Banach spaces pioneered by J. Väisälä. The interplay of the two fields allows for geometric proofs of continuity, differentiability, and surjectivity of generalized accretive operators.
LA - eng
KW - accretivity; monotonicity; quasisymmetric mapping; Banach space; metric space
UR - http://eudml.org/doc/284664
ER -

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