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.

• 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