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纪友清
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-1年11月30日
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【期刊论文】QUASITRIANGULAR + SMALL COMPACT=STRONGLY IRREDUCIBLE
纪友清, YOU QING JI
TRANSACTIONS OF THE AMERICAN MATHEMATICAI, SOCIETY Volume 351, Nomber 11, Pages 4657-4673,-0001,():
-1年11月30日
Let T be a bounded linear operator acting on a separable infinite dimensional Hilbert space. Let E be a positive number. In this article, we prove that the perturbation of T by a compact operator K with ‖K‖<E can be strongly irreducible if T is a quasitriangular operator with the spectrum σ(T) connected. The Main Theorem of this article nearly answers the question below posed by D. A. Herrero. Suppose that T is a bounded linear operator acting on a separable infinite dimensional Hilbert space with σ(T) connected. Let ε>0 be given. Is there a compact operator K with ‖K‖<ε such that T+K is strongly irreducible?
Weyl spectrum,, index,, strongly irreducible,, quasituiangular.,
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纪友清
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-1年11月30日
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