6th Summer Workshop on Operator Theory

9th - 13th July 2018 Kraków

Zsigmond Tarcsay

Generalized Schur complementation

Based on a generalized Krein-von Neumann extension theorem we develop a Schur complementation theory in the setting of so-called anti-dual pairs. This allows us to introduce, in a fairly general context, the concept of parallel sum and parallel difference, which play an extremely important role in non-commutative integration theory.

The talk is based on joint work with T. Titkos.

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