首页 | 本学科首页   官方微博 | 高级检索  
     


Restrictions of bounded linear operators: Closed range
Authors:Bruce A. Barnes
Affiliation:Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Abstract:Let $ T$ be a bounded linear operator on a Banach space $ X,$ and let $ W$ be a subspace of $ X$ which is a Banach space and $ T-$ invariant. Denote by $ T_{W}$ the restriction of $ T$ to $ W. $ This paper explores the questions:

$ circ $ If the range of $ T$ is closed, under what conditions is the range of $ T_{W}$ closed?

$ circ $ If the range of $ T_{W}$ is closed, under what conditions is the range of $ T$ closed?

Keywords:Restriction of a bounded linear operator   closed range.
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号