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期刊论文
HE STRONGLY IRREDUCIBLE OPERATORS IN NEST ALGEBRAS1
Integr. equ. oper. theory 28(1997)28-44,-0001,():
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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