Groups of isometries on orlicz spaces


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. © 1973 Pacific Journal of Mathematics.

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Pacific Journal of Mathematics