On the number of non isomorphic subspaces of a Banach space
Valentin Ferenczi, Christian Rosendal
Abstract
If a Banach space has an unconditional basis it either contains a continuum of non isomorphic subspaces or is isomorphic to its square and hyperplanes and satisfies other regularity properties. An HI Banach space contains a continuum of non isomorphic subspaces.
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