A class of $l^1$-preduals which are isomorphic to quotients of $C(ω^ω)$

Gasparis, Ioannis

A class of

l^{1}

-preduals which are isomorphic to quotients of

C (ω^{ω})

Gasparis, Ioannis

Studia Mathematica, Tome 133 (1999), p. 131-143 / Harvested from The Polish Digital Mathematics Library

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Résumé

For every countable ordinal α, we construct an $l_{1}$ -predual $X_{α}$ which is isometric to a subspace of $C (ω^{ω^{ω^{α} + 2}})$ and isomorphic to a quotient of $C (ω^{ω})$ . However, $X_{α}$ is not isomorphic to a subspace of $C (ω^{ω^{α}})$ .

Publié le : 1999-01-01

Zbl 0945.46004

EUDML-ID : urn:eudml:doc:216609

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     author = {Ioannis Gasparis},
     title = {A class of $l^1$-preduals which are isomorphic to quotients of $C($\omega$^$\omega$)$
            },
     journal = {Studia Mathematica},
     volume = {133},
     year = {1999},
     pages = {131-143},
     zbl = {0945.46004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv133i2p131bwm}
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Gasparis, Ioannis. A class of $l^1$-preduals which are isomorphic to quotients of $C(ω^ω)$
            . Studia Mathematica, Tome 133 (1999) pp. 131-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i2p131bwm/

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