How far is C(ω) from the other C(K) spaces?

• Autorzy: Leandro Candido , Elói Medina Galego
• Języki publikacji: EN

Abstrakty

EN

Let us denote by C(α) the classical Banach space C(K) when K is the interval of ordinals [1,α] endowed with the order topology. In the present paper, we give an answer to a 1960 Bessaga and Pełczyński question by providing tight bounds for the Banach-Mazur distance between C(ω) and any other C(K) space which is isomorphic to it. More precisely, we obtain lower bounds L(n,k) and upper bounds U(n,k) on d(C(ω),C(ωⁿk)) such that U(n,k) - L(n,k) < 2 for all 1 ≤ n, k < ω.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 217
• Numer: 2
• Strony: 123-138

Daty

wydano

2013

Twórcy

autor

Leandro Candido

• Department of Mathematics, University of São Paulo, São Paulo, Brazil 05508-090

autor

Elói Medina Galego

• Department of Mathematics, University of Sõ Paulo, São Paulo, Brazil 05508-090

Identyfikatory

DOI

10.4064/sm217-2-2