A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples PDF full book. Access full book title A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples by Tosio Kato. Download full books in PDF and EPUB format.

A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples

A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples PDF Author: Tosio Kato
Publisher:
ISBN:
Category :
Languages : en
Pages : 8

Get Book Here

Book Description
Elementary proofs are given for the (known) theorems that (1) each point of superscript sigma(A) belongs to superscript sigma (e superscript A) if A is the generator of a C sub 0-semigroup E superscript tA) of linear operators on a Banach space x, and that (2) e superscript sigma(A) equal Sigma (e superscript A)/(0) if e superscript tA is a holomorphic semigroup. Also a large class of strongly continous groups e superscript tA on a Hilbert space H is given such that Sigma (A) is empty. Note that Sigma (e superscript A) is not empty, and is away from zero, if e superscript tA is a group. Some related remarks are given on the relationship between the spectral bound of A and the type of e superscript tA. (Author).