Isometries of Musielak-Orlicz spaces II

Jamison, J.; Kamińska, A.; Lin, Pei-Kee

Jamison, J. ; Kamińska, A. ; Lin, Pei-Kee

Studia Mathematica, Tome 104 (1993), p. 75-89 / Harvested from The Polish Digital Mathematics Library

Résumé

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

Publié le : 1993-01-01

Zbl 0815.46026

EUDML-ID : urn:eudml:doc:215960

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     title = {Isometries of Musielak-Orlicz spaces II},
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     volume = {104},
     year = {1993},
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     zbl = {0815.46026},
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Jamison, J.; Kamińska, A.; Lin, Pei-Kee. Isometries of Musielak-Orlicz spaces II. Studia Mathematica, Tome 104 (1993) pp. 75-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv104i1p75bwm/

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