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자연과학대학
수학전공
Journal papers
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On operators with similar positive parts
Title
On operators with similar positive parts
Authors
Ko E.
Ewha Authors
고응일
SCOPUS Author ID
고응일
Issue Date
2018
Journal Title
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
Citation
Journal of Mathematical Analysis and Applications vol. 463, no. 1, pp. 276 - 293
Keywords
Polar decomposition
;
Similarity of positive parts
;
Spectral property
Publisher
Academic Press Inc.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Let S=US|S| and T=UT|T| be the polar decompositions of S and T in L(H), respectively. We say that S and T have similar positive parts if |S| and |T| are similar. In this paper, we investigate properties of operators that are preserved under this similarity condition. We describe the form for the polar decomposition of an operator when the operator and its adjoint have similar positive parts. For this case, we also study the existence of invariant subspaces under this assumption. © 2018 Elsevier Inc.
DOI
10.1016/j.jmaa.2018.03.032
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