Abstract
Let (Formula presented.) and (Formula presented.) be the polar decompositions of S and T in (Formula presented.), respectively. In this paper we study solutions of operator equations which have similar real and positive parts with both the similarities implemented by a single invertible operator. Moreover, we investigate various properties of such solutions S and T.
| Original language | English |
|---|---|
| Pages (from-to) | 3271-3286 |
| Number of pages | 16 |
| Journal | Linear and Multilinear Algebra |
| Volume | 70 |
| Issue number | 17 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
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Keywords
- Similarity of real and positive parts
- and hyponormal operators
- normal
- quasinormal