Vol. 48, No. 2, 1973

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Groups of isometries on Orlicz spaces

Jerome A. Goldstein

Vol. 48 (1973), No. 2, 387–393
Abstract

If X is an Orlicz space of functions on an atomic measure space, then, roughly, the only strongly continuous groups of isometries on X are trivial, unless X is a Hilbert space. Hilbert space is thus characterized among the Orlicz spaces on an atomic measure space by its great abundance of strongly continuous isometric groups.

Mathematical Subject Classification 2000
Primary: 46E30
Milestones
Received: 14 December 1971
Revised: 6 January 1972
Published: 1 October 1973
Authors
Jerome A. Goldstein