Hermitian and positive integrated C-cosine functions on Banach spaces

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27976

Title:	Hermitian and positive integrated C-cosine functions on Banach spaces
Authors:	Li,YC;Shaw,SY
Contributors:	數學研究所
Keywords:	ABSTRACT CAUCHY-PROBLEM;SEMIGROUPS
Date:	1998
Issue Date:	2010-06-29 19:39:19 (UTC+8)
Publisher:	中央大學
Abstract:	Peculiar properties of hermitian and positive n-times integrated C-cosine functions on Banach spaces are investigated. Among them are: (1) Any nondegenerate positive n-times integrated C-cosine function is infinitely differentiable in operator norm; (2) An exponentially bounded, nondegenerate C-cosine function on L-P(mu)(1 < p < infinity) (or L-1(mu), C-0, in case C has dense range) is positive if and only if its generator is bounded, positive, and commutes with C.
Relation:	POSITIVITY
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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