Essentially incomparable Banach spaces of continuous functions

• Autorzy: Fajardo R. A.
• Języki publikacji: EN

Abstrakty

EN

We construct, under Axiom 0, a family (C(Kξ))ξ < 2(2ω) of indecomposable Banach spaces with few operators such that every operator from C(Kξ) into C(Kη) is weakly compact, for all ξ ≠ η. In particular, these spaces are pairwise essentially incomparable. Assuming no additional set-theoretic axiom, we obtain this result with size 2ω instead of 2(2ω).

Słowa kluczowe

EN

Banach spaces; C(K); indecomposable Banach spaces; few operators; essentially incomparable; diamond axiom

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 3
• Strony: 247--258
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Fajardo R. A.

• Escola de Artes, Ciencias e Humanidades Universidade de Sao Paulo, Rua Arlindo Bettio, 1000 Sao Paulo, SP, Brazil,

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