Geodesic
Isometries of Musielak-Orlicz spaces II
Studia Mathematica, Tome 104 (1993) no. 1, pp. 75-89

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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.
DOI : 10.4064/sm-104-1-75-89

J. E. Jamison 1

1 
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J. E. Jamison. Isometries of Musielak-Orlicz spaces II. Studia Mathematica, Tome 104 (1993) no. 1, pp. 75-89. doi: 10.4064/sm-104-1-75-89

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