INSTYTUT MATEMATYCZNY · POLSKA AKADEMIA NAUK STUDIA MATHEMATICA ISSN: 0039-3223(p) 1730-6337(e)

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A geometric approach to accretivity

Leonid V. Kovalev¹
Studia Math. 181 (2007), 87-100
doi:10.4064/sm181-1-6

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.


MSC (2000): Primary 47H06; Secondary 47H05, 30C65.
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1. Department of Mathematics, Mailstop 3368
   Texas A&M University
   College Station, TX 77843-3368, U.S.A.
   

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