Generators of C-0-groups with smallest spectra


Seferoglu H.

MATHEMATISCHE NACHRICHTEN, vol.280, no.8, pp.924-931, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 280 Issue: 8
  • Publication Date: 2007
  • Doi Number: 10.1002/mana.200410525
  • Journal Name: MATHEMATISCHE NACHRICHTEN
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.924-931

Abstract

Let T = {T (t)}(t is an element of R) be a Co-group on a Banach space X with generator A. Under what conditions the assumption sigma (A) = {0} implies that A = 0 ? This is called "A = 0" problem. In this paper we present some results related to this problem. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.