Ondrej Kalenda: Projectional skeletons and algebraic structures
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Abstract: Projectional skeletons are an important
tool to study nonseparable Banach spaces by decomposing them
to separable pieces. I will present some recent results on the
interplay of projectional skeletons with several algebraic structures
studied in functional analysis, like von Neumann algebras
and some Jordan type algebras. In particular, any predual of these
structures admits a commutative projectional skeleton.
These results come from a joint work with Martin Bohata, Jan
Hamhalter, Antonio Peralta and Hermann Pfitzner.
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