5 papers
On masas of the Calkin algebra generated by projections
Piotr Koszmider
Assuming the continuum hypothesis CH, we obtain complete -isomorphic classification of maximal abelian self-adjoint subalgebras (masas) of the Calkin algebra $\mathcal Q(\ell_2)…
Counting spaces of functions on separable compact lines
Maciej Korpalski, Piotr Koszmider, Witold Marciszewski
We investigate the following general problem, closely related to the problem of isomorphic classification of Banach spaces of continuous real-valued functions on a compact s…
Almost disjoint families and some automorphic and injective properties of
Piotr Koszmider, MaÅgorzata Rojek
Answering questions of A. Avilés, F. Cabello Sánchez, J. Castillo, M. González and Y. Moreno we show that the following statements are independent of the usual axioms ZFC with a…
On Subspaces of Indecomposable Banach Spaces
Piotr Koszmider, ZdenÄk Silber
We address the following question: what is the class of Banach spaces isomorphic to subspaces of indecomposable Banach spaces? We show that this class includes all Banach spaces of…
Products of C*-algebras that do not embed into the Calkin algebra
Damian GÅodkowski, Piotr Koszmider
We consider the Calkin algebra , i.e., the quotient of the algebra of all bounded linear operators on the separable Hilbert space …