This article is cited in 5 papers

A representation of isometries on function spaces

Mikhail G. Zaidenberg

Université de Grenoble I, Institut Fourier, Laboratoire de Mathématiques, associé au CNRS (URA 188), B.P. 74, 38402 ST MARTIN D'HÈRES Cedex, France

Abstract: The main result states that every surjective isometry between two ideal Banach lattices of mesurable functions which satisfy certain conditions, can be represented as composition of an operator of mesurable change of variable and an operator of multiplication by a mesurable function.

Received: 18.12.1996

Language: English

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