On Musielak-Orlicz spaces isometric to L2 or L∞.
Kaminska, Anna
Collectanea Mathematica, Tome 48 (1997), p. 563-569 / Harvested from Biblioteca Digital de Matemáticas
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It is proved that a Musielak-Orlicz space LΦ of real valued functions which is isometric to a Hilbert space coincides with L2 up to a weight, that is Φ(u,t) = c(t) u2. Moreover it is shown that any surjective isometry between LΦ and L∞ is a weighted composition operator and a criterion for LΦ to be isometric to L∞ is presented.

Publié le : 1997-01-01
DMLE-ID : 339 
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     journal = {Collectanea Mathematica},
     volume = {48},
     year = {1997},
     pages = {563-569},
     zbl = {0892.46027},
     mrnumber = {MR1602596},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40806}
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Kaminska, Anna. On Musielak-Orlicz spaces isometric to L2 or L∞.. Collectanea Mathematica, Tome 48 (1997) pp. 563-569. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40806/