Triviality of the peripheral point spectrum
نویسندگان
چکیده
منابع مشابه
Triviality of the Peripheral Point Spectrum
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.
متن کاملar 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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ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2005
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-005-0202-2