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Estimation of the Szlenk index of Banach spaces via Schreier spaces

100%

Causey R.

Studia Mathematica

2013

tom 216

nr 2

149-178

For each ordinal α < ω₁, we prove the existence of a Banach space with a basis and Szlenk index $ω^{α+1}$ which is universal for the class of separable Banach spaces with Szlenk index not exceeding $ω^{α}$. Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.

Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces

100%

Causey R.

Fundamenta Mathematicae

2015

tom 228

nr 2

153-171

For each ordinal α < ω₁, we prove the existence of a separable, reflexive Banach space W with a basis so that Sz(W), $Sz(W*) ≤ ω^{α+1}$ which is universal for the class of separable, reflexive Banach spaces X satisfying Sz(X), $Sz(X*) ≤ ω^{α}$.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Studia Mathematica

2 Causey R.

1 2015

1 2013

Wyniki wyszukiwania

Estimation of the Szlenk index of Banach spaces via Schreier spaces

Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces