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【期刊论文】A CHARACTERIZATION OF BILATERAL OPERATOR WEIGHTED SHIFTS BEING COWEN-DOUGLAS OPERATORS
纪友清
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-1年11月30日
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【期刊论文】The Unitary Orbit of Strongly Irreducible Operators in the Nest Algebra with Well-Ordered set
纪友清
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-1年11月30日
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【期刊论文】The Quasiapproximate (U+K)-Invariants of Essentially Normal Operators
纪友清, You Qing Ji, and Jue Xian Li
Integr. Equ. Oper. Theory 50 (2004), 255-278,-0001,():
-1年11月30日
For a class of essentially normal operators, we characterize their norm closures of (U+K)-orbits. Moreover, we introduce a notion of the quasiapproximate (U+K)-equivalence of essentially normal operators and determine completely the quasiapproximate (U+K)-invariants. Finally, we give the canonical forms of essentially normal operators under this quasiap-proximate (U+K)-equivalence.
Essentially normal,, Bergmann operator,, Cowen-Douglas operator,, Unilateral weghted shift,, Quasiapproximate (, U+, K), -equivalence.,
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【期刊论文】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,():
-1年11月30日
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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