m-isometric weighted shifts with operator weights
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912254137466880 |
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| author | Buchała, Michał |
| author_facet | Buchała, Michał |
| contents | The aim of this paper is to study $ m $-isometric weighted shifts with operator weights (both unilateral and bilateral). We obtain a characterization of such shifts by polynomials with operator coefficients. The procedure of construction of all $ m $-isometric weighted shifts with positive weights is given. We answer the question when the weights of $ m $-isometric shifts are commuting. The completion problem for $ m $-isometric weighted shifts with operator weights is solved. We characterize $ m $-isometric bilateral shifts the adjoints of which are also $ m $-isometric. Several relevant examples are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17233 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | m-isometric weighted shifts with operator weights Buchała, Michał Functional Analysis 47B02, 47B37 The aim of this paper is to study $ m $-isometric weighted shifts with operator weights (both unilateral and bilateral). We obtain a characterization of such shifts by polynomials with operator coefficients. The procedure of construction of all $ m $-isometric weighted shifts with positive weights is given. We answer the question when the weights of $ m $-isometric shifts are commuting. The completion problem for $ m $-isometric weighted shifts with operator weights is solved. We characterize $ m $-isometric bilateral shifts the adjoints of which are also $ m $-isometric. Several relevant examples are provided. |
| title | m-isometric weighted shifts with operator weights |
| topic | Functional Analysis 47B02, 47B37 |
| url | https://arxiv.org/abs/2407.17233 |