An abstract ergodic theorem and some inequalities for operators on Banach spaces

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题名:	An abstract ergodic theorem and some inequalities for operators on Banach spaces
作者:	Li,YC;Shaw,SY
贡献者:	數學研究所
关键词:	UNIFORM
日期:	1997
上传时间:	2010-06-29 19:39:36 (UTC+8)
出版者:	中央大學
摘要:	We prove an abstract mean ergodic theorem and use it to show that if {A(n)} is a sequence of commuting m-dissipative (or normal) operators on a Banach space X, then the intersection of their null spaces is orthogonal to the linear span of their ranges. It is also proved that the inequality \\x + Ay\\ greater than or equal to \\x\\-2 root\\Ax \\y\\ (x, y is an element of D(A)) holds for any m-dissipative operator A. These results either generalize or improve the corresponding results of Shaw, Mattila, and Crabb and Sinclair, respectively.
關聯:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
显示于类别:	[數學研究所] 期刊論文

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