Open Access
January 2016 Differentiable functions and nice operators
Juan Carlos Navarro-Pascual, Miguel Ángel Navarro
Banach J. Math. Anal. 10(1): 96-107 (January 2016). DOI: 10.1215/17358787-3319442

Abstract

The aim of this paper is to describe the operators between spaces of continuously differentiable functions whose adjoint preserves extreme points. It is important to mention that no condition regarding injectivity or surjectivity of the operators is assumed. Previously known results characterizing surjective isometries can be immediately derived from such descriptions.

Citation

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Juan Carlos Navarro-Pascual. Miguel Ángel Navarro. "Differentiable functions and nice operators." Banach J. Math. Anal. 10 (1) 96 - 107, January 2016. https://doi.org/10.1215/17358787-3319442

Information

Received: 21 March 2015; Accepted: 15 April 2015; Published: January 2016
First available in Project Euclid: 11 November 2015

zbMATH: 1341.46005
MathSciNet: MR3453525
Digital Object Identifier: 10.1215/17358787-3319442

Subjects:
Primary: 46B20
Secondary: ‎46E15

Keywords: continuously differentiable function space , linear isometry , nice operator

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.10 • No. 1 • January 2016
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