Triviality of the Peripheral Point Spectrum

Details Triviality of the Peripheral Point Spectrum Triviality of the Peripheral Point Spectrum

2005-02-03

arxiv.org/abs/math/0502069v1

Mathematics

Spectral Theory

Scientific paper

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

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