Full-text sources
Open reviews
Edit
Download

Arcs defined by one-parameter semigroups of operators in Banach spaces with the Radon-Nikodym property

ArticleinProceedings of the American Mathematical Society 53(2):341-346 · December 1975

Impact Factor: 0.68 · DOI: 10.1090/S0002-9939-1975-0385635-2

Abstract

Let T be an operator on a complex Hilbert space H. Some growth conditions on operator radius of the resolvent of T are studied. Moreover, it is shown that the conjecture, due to V. Istratescu, that for operators T satisfying growth condition (G.) sup i 7* 2 - \(Tx, x)\2\ = R2T, 11-11=1 where /?a is the radius of the smallest circular disk containing the spectrum 0-(T), turns out to be false.

2 elements are still missing from your publication

Add supplementary resources

Share your datasets and other materials to help others better understand this publication.

Add resources
0%
Mark as interesting Comment
Available from: Charles L. Byrne, May 30, 2016