Abstract
An operator S ∈ L (H) is said to be nearly equivalent to T if there exists an invertible operator V ∈ L (H) such that S*S = V−1T*TV. In this paper, we study several properties of nearly equivalent operators, and investigate their local spectral properties and invariant subspaces.
Original language | English |
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Pages (from-to) | 537-547 |
Number of pages | 11 |
Journal | Operators and Matrices |
Volume | 12 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2018 |
Bibliographical note
Publisher Copyright:© 2018, Element D.O.O.. All rights reserved.
Keywords
- Invariant subspace
- Local spectral property
- Nearly equivalent operators