A class of $l^1$-preduals which are isomorphic to quotients of $C(ω^ω)$
Studia Mathematica, Tome 133 (1999) no. 2, pp. 131-143
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $C(ω^{ω^α})$.
Keywords:
spaces of continuous functions, countable compact spaces, $l_1$-preduals
Affiliations des auteurs :
Ioannis Gasparis 1
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author = {Ioannis Gasparis},
title = {A class of $l^1$-preduals which are isomorphic to quotients of $C(\ensuremath{\omega}^\ensuremath{\omega})$},
journal = {Studia Mathematica},
pages = {131--143},
publisher = {mathdoc},
volume = {133},
number = {2},
year = {1999},
doi = {10.4064/sm-133-2-131-143},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-133-2-131-143/}
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Ioannis Gasparis. A class of $l^1$-preduals which are isomorphic to quotients of $C(ω^ω)$. Studia Mathematica, Tome 133 (1999) no. 2, pp. 131-143. doi: 10.4064/sm-133-2-131-143
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