A geometric approach to accretivity

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)87-100
Number of pages14
JournalStudia Mathematica
Volume181
Issue number1
DOIs
StatePublished - Sep 14 2007
Externally publishedYes

Keywords

  • Accretive
  • Banach space
  • Metric space
  • Monotone
  • Quasisymmetric mapping

ASJC Scopus subject areas

  • Mathematics(all)

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