research

Triviality of the Peripheral Point Spectrum

Abstract

If T_t=\rme^{Zt} is a positive one-parameter contraction semigroup acting on lp(X)l^p(X) where XX is a countable set and 1≀p<∞1\leq p <\infty, then the peripheral point spectrum PP of ZZ cannot contain any non-zero elements. The same holds for Feller semigroups acting on Lp(X)L^p(X) if XX is locally compact

    Similar works

    Full text

    thumbnail-image

    Available Versions