Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866913449282371584 |
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| author | Pal, Sourav Sahasrabuddhe, Prajakta Tomar, Nitin |
| author_facet | Pal, Sourav Sahasrabuddhe, Prajakta Tomar, Nitin |
| contents | In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to $Q$-commuting contractions. Here we mainly deal with $Q$-commuting and doubly $Q$-commuting contractions when $Q$ is a family of unitary operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_01530 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions Pal, Sourav Sahasrabuddhe, Prajakta Tomar, Nitin Functional Analysis In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to $Q$-commuting contractions. Here we mainly deal with $Q$-commuting and doubly $Q$-commuting contractions when $Q$ is a family of unitary operators. |
| title | Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2211.01530 |