Isomorphism of certain weak $L^{p}$ spaces

Leung, Denny

Isomorphism of certain weak

L^{p}

spaces

Leung, Denny

Studia Mathematica, Tome 104 (1993), p. 151-160 / Harvested from The Polish Digital Mathematics Library

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Résumé

It is shown that the weak $L^{p}$ spaces $ℓ^{p, \infty}, L^{p, \infty} [0, 1]$ , and $L^{p, \infty} [0, \infty)$ are isomorphic as Banach spaces.

Publié le : 1993-01-01

Zbl 0814.46015

EUDML-ID : urn:eudml:doc:215966

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     author = {Denny Leung},
     title = {Isomorphism of certain weak $L^{p}$ spaces},
     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {151-160},
     zbl = {0814.46015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv104i2p151bwm}
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Leung, Denny. Isomorphism of certain weak $L^{p}$ spaces. Studia Mathematica, Tome 104 (1993) pp. 151-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv104i2p151bwm/

Bibliographie

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[00003] [4] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I. Sequence Spaces, Springer, Berlin 1977. | Zbl 0362.46013

[00004] [5] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II. Function Spaces, Springer, Berlin 1979. | Zbl 0403.46022