Abstract
Let a pair (A; B) of bounded linear operators acting on a Hilbert space be a solution of the operator equations ABA = A2 and BAB = B2. 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.
Original language | English |
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Pages (from-to) | 1195-1207 |
Number of pages | 13 |
Journal | Filomat |
Volume | 29 |
Issue number | 6 |
DOIs | |
State | Published - 2015 |
Keywords
- Generalized Weyl’s theorem
- Paranormal operator
- Single valued extension property