On unconditionally saturated Banach spaces

• Autorzy: Pandelis Dodos , Jordi Lopez-Abad
• Języki publikacji: EN

Abstrakty

EN

We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46B15: Summability and bases
• 46B07: Local theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 188
• Numer: 2
• Strony: 175-191

Daty

wydano

2008

Twórcy

autor

Pandelis Dodos

• Équipe d'Analyse Fonctionnelle, Université Pierre et Marie Curie - Paris 6, Boîte 186, 4 place Jussieu, 75252 Paris Cedex 05, France

autor

Jordi Lopez-Abad

• Équipe de Logique Mathématiques, Université Denis Diderot - Paris 7, 2 place Jussieu, 72521 Paris Cedex 05, France

Identyfikatory

DOI

10.4064/sm188-2-5