Advanced Search

A characterization of isometries of complex Musielak-Orlicz spaces $L_{\Phi }$ is given. If $L_{\Phi }$ is not a Hilbert space and $U:L_{\Phi }\to L_{\Phi }$ 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 $f\in L_{\Phi }$. Isometries of real Nakano spaces, a particular case of Musielak-Orlicz spaces, are also studied.