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Paranormal Operators and Some Operator Equations

Title
Paranormal Operators and Some Operator Equations
Authors
An, Il JuKo, Eungil
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2015
Journal Title
FILOMAT
ISSN
0354-5180JCR Link
Citation
vol. 29, no. 6, pp. 1195 - 1207
Keywords
Paranormal operatorgeneralized Weyl's theoremsingle valued extension property
Publisher
UNIV NIS, FAC SCI MATH
Indexed
SCIE; SCOPUS WOS scopus
Abstract
Let a pair (A, B) of bounded linear operators acting on a Hilbert space be a solution of the operator equations ABA = A(2) and BAB = B-2. When A is a paranormal operator, we explore some behaviors of the operators AB, BA, and B. In particular, if A or A* is a polynomial root of paranormal operators, we show that Weyl type theorems are satisfied for the operators AB, BA, and B.
DOI
10.2298/FIL1506195A
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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