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math.FA2011
A C(K) Banach space which does not have the Schroeder-Bernstein property
Piotr Koszmider
We construct a totally disconnected compact Hausdorff space N which has clopen subsets M included in L included in N such that N is homeomorphic to M and hence C(N) is isometric as…
math.FA2011
On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts
Christina Brech, Piotr Koszmider
For k being the first uncountable cardinal w_1 or k being the cardinality of the continuum c, we prove that it is consistent that there is no Banach space of density k in which it…
math.FA2008★ 14 cited
Extremely non-complex C(K) spaces
Piotr Koszmider, Miguel Martin, Javier Meri
We show that there exist infinite-dimensional extremely non-complex Banach spaces, i.e. spaces such that the norm equality holds for every bounded li…