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Maximal norms on Banach spaces of continuous functions. A Corrigendum to Kalton and Wood's ‘Orthonormal systems in Banach spaces and their applications’

Published online by Cambridge University Press:  16 October 2000

ALBERTO CABELLO SÁNCHEZ  and
FÉLIX CABELLO SÁNCHEZ
ALBERTO CABELLO SÁNCHEZ
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071-Badajoz, Spain; e-mail: [email protected]
FÉLIX CABELLO SÁNCHEZ
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071-Badajoz, Spain; e-mail: [email protected]
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Abstract

The purpose of this short note is to reformulate theorem 9·3 in [5] which is not correct as stated. We note that all other results in [5] are independent of that statement.

The notation is the same as [5] with the sole exception that C0(S) will always denote the space of all real-valued continuous functions on the locally compact space S vanishing at infinity. As usual, αS stands for the one-point compactification of S. Recall that a norm ‖ · ‖ on a Banach space X is said to be maximal if there is no equivalent norm on X whose isometry group contains properly that of ‖ · ‖.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 2 , September 2000 , pp. 325 - 330
Copyright
2000 Cambridge Philosophical Society

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Footnotes

N. J. Kalton and G. V. Wood. ‘Orthonormal systems in Banach spaces and their applications’. Math. Proc. Camb. Phil. Soc.79 (1976), 493–510.