Groups of isometries on orlicz spaces
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. © 1973 Pacific Journal of Mathematics.
Publication Title
Pacific Journal of Mathematics
Recommended Citation
Goldstein, J. (1973). Groups of isometries on orlicz spaces. Pacific Journal of Mathematics, 48 (2), 387-393. https://doi.org/10.2140/pjm.1973.48.387
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