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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Candido, Leandro [1] ; Galego, Eloi Medina [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
Document type: Journal article
Source: STUDIA MATHEMATICA; v. 217, n. 2, p. 123-138, 2013.
Web of Science Citations: 1
Abstract

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)

FAPESP's process: 12/15957-6 - On Banach spaces $C_0 (K, X)$ and the topology of $K$.
Grantee:Leandro Candido Batista
Support Opportunities: Scholarships in Brazil - Post-Doctoral