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Orthonormal systems in Banach spaces and their applications

Published online by Cambridge University Press:  24 October 2008

N. J. Kalton  and
G. V. Wood
N. J. Kalton
Affiliation:
University College, Swansea
G. V. Wood
Affiliation:
University College, Swansea
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Extract

By an orthonormal system in a general complex Banach space, we mean a collection {eα: α ∈ } it vectors such that, for each α, there is an hermitian (in the numerical range sense, see (4)) projection Pα whose range is lin (eα) and such that PαPβ = 0, if α ≠ β. This paper is devoted to the study of orthonormal systems in general Banach spaces, and their applications to problems of characterizing isometries and hermitian operators.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 3 , May 1976 , pp. 493 - 510
Copyright
Copyright © Cambridge Philosophical Society 1976

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