Difference Inequalities for the Groups and Semigroups of Operators on Banach Spaces


Mustafayev H.

COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.6, ss.1241-1267, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 6 Konu: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s11785-010-0126-x
  • Dergi Adı: COMPLEX ANALYSIS AND OPERATOR THEORY
  • Sayfa Sayıları: ss.1241-1267

Özet

Let T = {T (t)}(t is an element of R) be a sigma(X, F)-continuous group of isometries on a Banach space X with generator A, where sigma(X, F) is an appropriate local convex topology on X induced by functionals from F subset of X*. Let sigma(A)(x) be the local spectrum of A at x is an element of X and r(A)(x) := sup{|lambda| : lambda is an element of sigma(A)(x)}, the local spectral radius of A at x. It is shown that for every x is an element of X and tau is an element of R,