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

Autor(es)

Candido, Leandro ^[1] ; Galego, Eloi Medina ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: STUDIA MATHEMATICA; v. 217, n. 2, p. 123-138, 2013.
• Citações Web of Science: 1

Resumo

Let us denote by C(alpha) the classical Banach space C(K) when K is the interval of ordinals {[}1, alpha] endowed with the order topology. In the present paper, we give an answer to a 1960 Bessaga and Pelczynski question by providing tight bounds for the Banach-Mazur distance between C(omega) 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 (omega), C (omega(n)k )) such that U (n, k) - L(n, < 2 for all 1 <= n, k < omega. (AU)

• Processo FAPESP: 12/15957-6 - Sobre os espaços de Banach $C_0(K,X)$ e a topologia de $K$.
• Beneficiário: Leandro Candido Batista
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado