Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We study the number of non-isomorphic subspaces of a given Banach space. Our main result is the following. Let 𝔛 be a Banach space with an unconditional basis $(e_{i})_{i∈ℕ}$; then either there exists a perfect set P of infinite subsets of ℕ such that for any two distinct A,B ∈ P, $[e_{i}]_{i∈A} ≇ [e_{i}]_{i∈B}$, or for a residual set of infinite subsets A of ℕ, $[e_{i}]_{i∈A}$ is isomorphic to 𝔛, and in that case, 𝔛 is isomorphic to its square, to its hyperplanes, uniformly isomorphic to $𝔛 ⊕ [e_{i}]_{i∈D}$ for any D ⊂ ℕ, and isomorphic to a denumerable Schauder decomposition into uniformly isomorphic copies of itself.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
203-216
Opis fizyczny
Daty
wydano
2005
Twórcy
autor
- Equipe d'Analyse, Université Paris 6, Couloir 46-0, Boîte 186, 4, place Jussieu, 75252 Paris Cedex 05, France
autor
- Equipe d'Analyse, Université Paris 6, Couloir 46-0, Boîte 186, 4, place Jussieu, 75252 Paris Cedex 05, France
- Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-3-2