Surjective \(L^p\)-isometries on rank 1 idempotents

DOI10.1016/j.jmaa.2022.126669OpenAlexW4294770536MaRDI QIDQ2084864

Zhang Xiang, Xin Yi, Wen Ming Wu, Wen Hua Qian

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126669

zbMATH Keywords

Wigner's theoremrank 1 idempotentssurjective \(L^p\)-isometry

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

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• Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces
• Surjective \(L^2\)-isometries on the projection lattice
• Wigner's theorem on Grassmann spaces
• Wigner-Type Theorems for Hilbert Grassmannians
• Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles

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