Title

Surjective isometries on absolutely continuous vector valued function spaces

Abstract

In this paper we give a representation for the surjective and linear isometries on spaces of vector valued absolutely continuous functions with p-integrable derivatives (1 < p < ∞). The range space is a Banach space which is smooth, reflexive and separable. Representations for the generalized bi-circular projections and the bounded hermitian operators are also derived.

Publication Title

Contemporary Mathematics

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