Gateaux derivative of matrix norms in operator spaces and operator systems
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911191932076032 |
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| author | Singla, Sushil |
| author_facet | Singla, Sushil |
| contents | We find expressions for the Gateaux derivative of the matrix norms in operator spaces, and operator systems. Some applications of the results to quantum probability measures, states on C$^*$-algebras, and Birkhoff-James orthogonality are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gateaux derivative of matrix norms in operator spaces and operator systems Singla, Sushil Operator Algebras Functional Analysis 46G05, 46L07, 46L30, 46B20 We find expressions for the Gateaux derivative of the matrix norms in operator spaces, and operator systems. Some applications of the results to quantum probability measures, states on C$^*$-algebras, and Birkhoff-James orthogonality are also presented. |
| title | Gateaux derivative of matrix norms in operator spaces and operator systems |
| topic | Operator Algebras Functional Analysis 46G05, 46L07, 46L30, 46B20 |
| url | https://arxiv.org/abs/2510.03864 |