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On the Accretivity of the Inverse of an Accretive Relation

Name: On the Accretivity of the Inverse of an Accretive Relation
Creator: Gustaf Gripenberg
Keywords: Duality and reflexivity in normed linear and Banach spaces, Inner product spaces and their generalizations, Hilbert spaces, 4. Education, 0101 mathematics, Monotone operators and generalizations, 01 natural sciences

On the accretivity of the inverse of an accretive relation

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 1977Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 64, page 91 (issn: 0002-9939,

Authors: Gustaf Gripenberg;

doi: 10.2307/2040988 , 10.1090/s0002-9939-1977-0454750-9

On the Accretivity of the Inverse of an Accretive Relation

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Abstract

If X is a smooth, reflexive, real Banach space such that a relation A in X × X X \times X is accretive iff A − 1 {A^{ - 1}} is accretive, then X is isomorphic to a Hilbert space.

Keywords

Duality and reflexivity in normed linear and Banach spaces, Inner product spaces and their generalizations, Hilbert spaces, Monotone operators and generalizations

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