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k-Quasihyponormal operators are subscalar

Title
k-Quasihyponormal operators are subscalar
Authors
Eungil K.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
1997
Journal Title
Integral Equations and Operator Theory
ISSN
0378-620XJCR Link
Citation
Integral Equations and Operator Theory vol. 28, no. 4, pp. 492 - 499
Indexed
SCI; SCIE; SCOPUS scopus
Document Type
Article
Abstract
In this paper we shall prove that if an operator T ∈ ℒ(⊕12H) is an operator matrix of the form T = (T1 T20 T3) where T1 is hyponormal and T3k = 0, then T is subscalar of order 2(k + 1). Hence non-trivial invariant subspaces are known to exist if the spectrum of T has interior in the plane as a result of a theorem of Eschmeier and Prunaru (see [EP]). As a corollary we get that any k-quasihyponormal operators are subscalar.
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자연과학대학 > 수학전공 > Journal papers
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