Triviality of the Peripheral Point Spectrum
نویسنده
چکیده
If Tt = eZt is a positive one-parameter contraction semigroup acting on lp(X) where X is a countable set and 1 ≤ p < ∞, then the peripheral point spectrum P of Z cannot contain any non-zero elements. The same holds for Feller semigroups acting on Lp(X) if X is locally compact.
منابع مشابه
ar X iv : m at h / 05 02 06 9 v 1 [ m at h . SP ] 3 F eb 2 00 5 Triviality of the Peripheral Point Spectrum
If T t = e Zt is a positive one-parameter contraction semigroup acting on l p (X) where X is a countable set and 1 ≤ p < ∞, 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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