Peter Casazza
580 California St., Suite 400
San Francisco, CA, 94104
Some questions arising from the homogeneous Banach space problem
1993, Contemporary Mathematics
https://doi.org/10.1090/CONM/144/1209445
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Abstract
We review the current state of the homogeneous Banach space problem. We then formulate several questions which arise naturally from this problem, some of which seem to be fundamental but new. We give many examples defining the bounds on the problem. We end with a simple construction showing that every infinite dimensional Banach space contains a subspace on which weak properties have become stable (under passing to further subspaces). Implications of this construction are considered.
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