A representation of isometries on function spaces

1995/12/06 by Zaidenberg, Mikhail
#46B #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/9512203

Abstract

The main result says that every surjective isometry between two ideal Banach function spaces satisfying certain conditions can be presented as a composition of a measurable transformation of a variable and multiplication by a function.

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