Maps preserving the idempotency of Jordan products
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866913877024833536 |
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| author | Petek, Tatjana Radić, Gordana |
| author_facet | Petek, Tatjana Radić, Gordana |
| contents | Let B(X) be the algebra of all bounded linear operators on a complex Banach space X of dimension at least three. For an arbitrary nonzero complex number t we determine the form of mappings f: B(X)-->B(X) with sufficiently large range such that t(AB+BA) is idempotent if and only if t(f(A)f(B)+f(B)f(A)) is idempotent, for all A, B in B(X). Note that f is not assumed to be linear or additive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04412 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maps preserving the idempotency of Jordan products Petek, Tatjana Radić, Gordana Functional Analysis Operator Algebras Let B(X) be the algebra of all bounded linear operators on a complex Banach space X of dimension at least three. For an arbitrary nonzero complex number t we determine the form of mappings f: B(X)-->B(X) with sufficiently large range such that t(AB+BA) is idempotent if and only if t(f(A)f(B)+f(B)f(A)) is idempotent, for all A, B in B(X). Note that f is not assumed to be linear or additive. |
| title | Maps preserving the idempotency of Jordan products |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2506.04412 |