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Isometries of Musielak-Orlicz spaces II

J. JamisonA. KamińskaPei-Kee Lin — 1993

Studia Mathematica

A characterization of isometries of complex Musielak-Orlicz spaces L Φ is given. If L Φ is not a Hilbert space and U : L Φ L Φ is a surjective isometry, then there exist a regular set isomorphism τ from (T,Σ,μ) onto itself and a measurable function w such that U(f) = w ·(f ∘ τ) for all f L Φ . Isometries of real Nakano spaces, a particular case of Musielak-Orlicz spaces, are also studied.

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