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HE STRONGLY IRREDUCIBLE OPERATORS IN NEST ALGEBRAS1

纪友清You Qing Ji Chun Lan Jiang and Zong Yao Wang

Integr. equ. oper. theory 28(1997)28-44,-0001,():

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摘要/描述

An operator T on H is called strongly irreducible if T does not commute with any nontrivial idernpotent operator In this paper, we first show that each nest algebra T(N) has strong y rreducible operators, Secondly. we obtain a characterization of operators which can be uniquely written as a direct sum of finitely many strongly irreducible operators. Finafiy, we characterize the strongly irreducibility of operators in a nest algebra T(N).

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【免责声明】以下全部内容由[纪友清]上传于[2005年11月15日 17时11分54秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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