Dissipative Operators on Banach Spaces

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Date

2007

Journal Title

Journal ISSN

Volume Title

Publisher

Academic Press inc Elsevier Science

Abstract

A bounded linear operator T on a Banach space is said to be dissipative if parallel to e(tT)parallel to <= 1 for all t >= 0. We show that if T is a dissipative operator on a Banach space, then: (a)lim(t)->infinity parallel to e(tT) T parallel to = {vertical bar lambda vertical bar: lambda epsilon sigma (T) boolean AND i R} (b) If sigma (T) boolean AND i R is contained in [-i pi/2, i pi/2], then [GRAPHICS] Some related problems are also discussed. (c) 2007 Elsevier Inc. All rights reserved.

Description

Keywords

Hermitian Operator, Dissipative Operator, (Local) Spectrum, Fourier Transform

Turkish CoHE Thesis Center URL

WoS Q

Q1

Scopus Q

Q1

Source

Volume

248

Issue

2

Start Page

428

End Page

447
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