Some convexity properties of Musielak-Orlicz spaces of Bochner type
The article contains no abstract
The article contains no abstract
The article contains no abstract
The article contains no abstract
The article contains no abstract
A characterization of isometries of complex Musielak-Orlicz spaces is given. If is not a Hilbert space and 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 . Isometries of real Nakano spaces, a particular case of Musielak-Orlicz spaces, are also studied.
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