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纪友清
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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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纪友清
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-1年11月30日
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43浏览
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纪友清, YOU QING JI, CHUN LAN JIANG, and ZONG YAO WANG
J OPERATOR THEORY 44 (2000), 25-41,-0001,():
-1年11月30日
A bounded linear operator T on a Hdbert space H is strongly irreducible if T does not commute with any non-trivial idempotent, A nest N is a chain of subspaces of H contain {0} and H, which is closed under intersection and closed span. The nest algebra alg N associated with N i s the set of all operators which leave each subspace in N invariant. This paper proves that the norm closure of the unitary orbit of the strongly irreducible operators in a nest algebra is the set of operators whose spectrum is connected if and only if N or N1 are not well-ordered. Strongly irreducible operator, nest, nest algebra, unitary orbit, spectrum.
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【期刊论文】THE (U+K)-ORBITS OF ESSENTIALLY NORMAL OPERATORS AND THEIR STRONG IRREDUCIBILITY**
纪友清, J YOUQING*, JIANG CHUNLAN*
ChiN. Ann. of Math. 19B: 2 (1998), 217-228,-0001,():
-1年11月30日
The authors characterize the (U+K)-orbits of a class essentially normal operators and prove that some essentially normal operators with connected spectrum are strongly irreducible after a small compact perturbation. This partially answers a question of Domigo A. Herrero.
Strongly irreducible operator,, Compact perturbation,, Normal operator
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