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

• Autorzy: Ioannis Gasparis
• Języki publikacji: EN

Abstrakty

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 $C(ω^{ω^α})$.

Słowa kluczowe

EN

spaces of continuous functions; countable compact spaces; $l_1$-preduals

Kategorie tematyczne

• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 03E10: Ordinal and cardinal numbers
• 06A07: Combinatorics of partially ordered sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 133
• Numer: 2
• Strony: 131-143

Daty

wydano

1999

otrzymano

1998-01-12

poprawiono

1998-05-11

Twórcy

autor

Ioannis Gasparis

• Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, Oklahoma 74078-1058, U.S.A.

Bibliografia

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