Hermitian and positive C-semigroups on Banach spaces

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題名:	Hermitian and positive C-semigroups on Banach spaces
作者:	Li,YC;Shaw,SY
貢獻者:	數學研究所
關鍵詞:	ABSTRACT CAUCHY-PROBLEM;GENERATORS
日期:	1995
上傳時間:	2010-06-29 19:40:27 (UTC+8)
出版者:	中央大學
摘要:	Two classes of operator families, namely n-times integrated C-semigroups of hermitian and positive operators on Banach spaces, are studied. By using Gelfand transform and a theorem of Sinclair, we prove some interesting special properties of such C-semigroups. For instances, every hermitian nondegenerate n-times integrated C-semigroup on a reflexive space is the n-times integral of some hermitian C-semigroup with a densely defined generator; an exponentially bounded C-semigroup on L(p)(mu)(1 < p < infinity) dominates C (a positive injective operator) if and only if its generator A is bounded, positive,and commutes with C; when C has dense range, the latter assertion is also true on L(1)(mu) and C-0(Omega).
關聯:	PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES
顯示於類別:	[數學研究所] 期刊論文

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