ON UNIFORM ERGODIC-THEOREMS IN GROTHENDIECK SPACES WITH THE DUNFORD-PETTIS PROPERTY

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题名:	ON UNIFORM ERGODIC-THEOREMS IN GROTHENDIECK SPACES WITH THE DUNFORD-PETTIS PROPERTY
作者:	SHAW,SY
贡献者:	數學研究所
日期:	1994
上传时间:	2010-06-29 19:41:04 (UTC+8)
出版者:	中央大學
摘要:	Let A be a densely defined closed operator, and {A(n)}, {B(n)} be two sequences of bounded operators on a Grothendieck space X with the Dunford-Pettis property such that {A(n) - I} is uniformly power bounded, B(n)A subset-of AB(n) = I - A(n), A(n)A subset-of AA(n), \\AA(n)X\\ --> 0 for x is-an-element-of X and \\A(n)Ax\\ --> 0 for x is-an-element-of D(A*). If {A(n)} converges strongly on X, then both {A(n)} and {B(n)\R(A)} converge uniformly. Implications of this result in the cases of discrete semigroups, n-times integrated semigroups and cosine operator functions are then described.
關聯:	HOUSTON JOURNAL OF MATHEMATICS
显示于类别:	[數學研究所] 期刊論文

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