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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】The Unitary Orbit of Strongly Irreducible Operators in the Nest Algebra with Well-Ordered Set
纪友清, You QING JI, CHUN LAN JIANG, & ZONG YAO WANG
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-1年11月30日
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纪友清, Ji Youqing, Jiang Chunlan, Wang Zongyao
Acta Mathemaica Smica, New Series 1998. Dec., Vol. 14, Supplement, pp.605-612,-0001,():
-1年11月30日
In this paper. N always denotes continuous nest, and T(N)={TεL(H), TM с M; M ε N}. We describe the spectral picture of some strongly irreducible operators in T(N), and characterize the closure of the unitary orbit of the strongly irreducible operaiors in T(N). Continuous nest, Nest algebra, Strongly irreducible, Spectral picture
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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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纪友清
,-0001,():
-1年11月30日
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