Incomparable, non isomorphic and minimal Banach spaces
Christian Rosendal
Abstract
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 has an isomorphically homogeneous subsequence.
Create a lesson
Related papers
Independent Backward Preimages and Algebraic Radial Decompositions of Operators
Zakariae Aznay, Fadil Chabbabi, Hassan Zariouh
Spectral and mapping properties of the inverse Ornstein--Uhlenbeck operator
Tommaso Bruno, Valentina Casarino, Paolo Ciatti et al.
Dual Banach spaces with AP but without BAP
Longfa Sun, Zhenguo Wei, Zhendong Xu et al.
Real alternative Daugavet property without Daugavet property in a separable complex Banach space
Jinghao Huang, Ran Xu
Nonisomorphic separable Banach spaces at Lipschitz distance one
Ryotaro Tanaka
Szegő quasiforms: a Schottky-scheme construction for vertex operator superalgebras
A. Zuevsky