Positive contractive projections in Schatten Spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914061840547840 |
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| author | Boffy, Estelle |
| author_facet | Boffy, Estelle |
| contents | We characterize the positively 1-complemented subspaces of $S^p$, for $1\leq p<\infty$, where $S^p$ denotes the Schatten spaces. Building on the work of Arazy and Friedman, who described the 1-complemented subspaces of $S^p$, for $1\leq p\neq 2 <\infty$, we establish that there are five mutually distinct types of indecomposable positively 1-complemented subspaces in $S^p$. Moreover, every positively 1-complemented subspace of $S^p$ can be expressed as a direct sum of some of these indecomposable subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23701 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Positive contractive projections in Schatten Spaces Boffy, Estelle Functional Analysis Operator Algebras 47B10, 46B28 We characterize the positively 1-complemented subspaces of $S^p$, for $1\leq p<\infty$, where $S^p$ denotes the Schatten spaces. Building on the work of Arazy and Friedman, who described the 1-complemented subspaces of $S^p$, for $1\leq p\neq 2 <\infty$, we establish that there are five mutually distinct types of indecomposable positively 1-complemented subspaces in $S^p$. Moreover, every positively 1-complemented subspace of $S^p$ can be expressed as a direct sum of some of these indecomposable subspaces. |
| title | Positive contractive projections in Schatten Spaces |
| topic | Functional Analysis Operator Algebras 47B10, 46B28 |
| url | https://arxiv.org/abs/2509.23701 |