Dissipative Operators on Banach Spaces
No Thumbnail Available
Date
2007
Authors
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