On the number of non isomorphic subspaces of a Banach space

Details On the number of non isomorphic subspaces of a Banach space On the number of non isomorphic subspaces of a Banach space

2002-01-09

arxiv.org/abs/math/0201072v2

Mathematics

Functional Analysis

Scientific paper

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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