Incomparable, non-isomorphic and minimal Banach spaces

• Autorzy: Christian Rosendal
• Języki publikacji: EN

Abstrakty

EN

A Banach space contains either a minimal subspace or a continuum of incomparable subspaces. General structure results for analytic equivalence relations are applied in the context of Banach spaces to show that if E₀ does not reduce to isomorphism of the subspaces of a space, in particular, if the subspaces of the space admit a classification up to isomorphism by real numbers, then any subspace with an unconditional basis is isomorphic to its square and hyperplanes, and the unconditional basis has an isomorphically homogeneous subsequence.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 183
• Numer: 3
• Strony: 253-274

Daty

wydano

2004

Twórcy

autor

Christian Rosendal

• Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, U.S.A.

Identyfikatory

DOI

10.4064/fm183-3-5