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Paranormal Operators and Some Operator Equations
- Paranormal Operators and Some Operator Equations
- An, Il Ju; Ko, Eungil
- Ewha Authors
- SCOPUS Author ID
- Issue Date
- Journal Title
- vol. 29, no. 6, pp. 1195 - 1207
- Paranormal operator; generalized Weyl's theorem; single valued extension property
- UNIV NIS, FAC SCI MATH
- SCIE; SCOPUS
- 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.
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