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2014 Nonlinear Isometries on Schatten-p Class in Atomic Nest Algebras
Kan He, Qing Yuan
Abstr. Appl. Anal. 2014: 1-5 (2014). DOI: 10.1155/2014/810862

Abstract

Let H be a complex Hilbert space; denote by Alg 𝒩 and 𝒞p(H) the atomic nest algebra associated with the atomic nest 𝒩 on H and the space of Schatten-p class operators on, H respectively. Let 𝒞p(H)Alg 𝒩 be the space of Schatten-p class operators in Alg 𝒩. When 1p<+ and p2, we give a complete characterization of nonlinear surjective isometries on 𝒞p(H)Alg 𝒩. If p=2, we also prove that a nonlinear surjective isometry on 𝒞2(H)Alg 𝒩 is the translation of an orthogonality preserving map.

Citation

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Kan He. Qing Yuan. "Nonlinear Isometries on Schatten-p Class in Atomic Nest Algebras." Abstr. Appl. Anal. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/810862

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023124
MathSciNet: MR3186980
Digital Object Identifier: 10.1155/2014/810862

Rights: Copyright © 2014 Hindawi

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