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Abstrakty
Let E be a separable Banach space with the λ-bounded approximation property. We show that for each ϵ > 0 there is a Banach space F with a Schauder basis such that E is isometrically isomorphic to a 1-complemented subspace of F and, moreover, the sequence (Tₙ) of canonical projections in F has the properties
$sup_{n∈ ℕ } ||Tₙ|| ≤ λ + ϵ$ and $limsup_{n→ ∞} ||Tₙ|| ≤ λ$.
This is a sharp quantitative version of a classical result obtained independently by Pełczyński and by Johnson, Rosenthal and Zippin.
$sup_{n∈ ℕ } ||Tₙ|| ≤ λ + ϵ$ and $limsup_{n→ ∞} ||Tₙ|| ≤ λ$.
This is a sharp quantitative version of a classical result obtained independently by Pełczyński and by Johnson, Rosenthal and Zippin.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
1-12
Opis fizyczny
Daty
wydano
2010
Twórcy
autor
- IMECC-UNICAMP, Caixa Postal 6065, 13083-970 Campinas, SP, Brazil
autor
- IMECC-UNICAMP, Caixa Postal 6065, 13083-970 Campinas, SP, Brazil
- Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, 05315-970 São Paulo, SP, Brazil
Bibliografia
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Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-1