On stability of distance under some tensor products and some calculations
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912810269671424 |
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| author | Kumar, Sumit |
| author_facet | Kumar, Sumit |
| contents | We prove that the Kadison-Kastler and Christensen distances are stable under the Banach space injective tensor product (resp., the Banach space projective tensor product) of a Banach space with any unital commutative $C^*$-algebra (resp., of a $C^*$-algebra with any unital $C^*$-algebra). Apart from these stability results, we make some explicit calculations of the Kadison-Kastler, Christensen and Mashood-Taylor distances between certain subalgebras of some crossed-product operator algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05154 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On stability of distance under some tensor products and some calculations Kumar, Sumit Operator Algebras 46L05, 47L40, 46M05 We prove that the Kadison-Kastler and Christensen distances are stable under the Banach space injective tensor product (resp., the Banach space projective tensor product) of a Banach space with any unital commutative $C^*$-algebra (resp., of a $C^*$-algebra with any unital $C^*$-algebra). Apart from these stability results, we make some explicit calculations of the Kadison-Kastler, Christensen and Mashood-Taylor distances between certain subalgebras of some crossed-product operator algebras. |
| title | On stability of distance under some tensor products and some calculations |
| topic | Operator Algebras 46L05, 47L40, 46M05 |
| url | https://arxiv.org/abs/2601.05154 |