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2016 Orthogonality Preservers of JB*-triple-valued Functions
Dongyang Chen, Lei Li, Qing Meng
Taiwanese J. Math. 20(6): 1393-1400 (2016). DOI: 10.11650/tjm.20.2016.7100

Abstract

Let $X, Y$ be locally compact Hausdorff spaces, and $V, W$ be JB*-triples such that $W$ is prime. Let $T \colon C_0(X, V) \to C_0(Y, W)$ be an orthogonality preserving linear operator with dense range. We show that $T$ can be written as a weighted composition operator.

Citation

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Dongyang Chen. Lei Li. Qing Meng. "Orthogonality Preservers of JB*-triple-valued Functions." Taiwanese J. Math. 20 (6) 1393 - 1400, 2016. https://doi.org/10.11650/tjm.20.2016.7100

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.47027
MathSciNet: MR3580300
Digital Object Identifier: 10.11650/tjm.20.2016.7100

Subjects:
Primary: 46B20 , ‎46E15
Secondary: 17C65

Keywords: JB*-triples , orthogonality preservers , strictly separating , weighted composition operators

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

Vol.20 • No. 6 • 2016
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