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Operator Algebras Seminar
Reproducing kernel Krein spaces of non-commutative functions Online
Jul 6, 11:00—12:00, 2026, -101
Speaker
Itzhak Calvente (BGU)
Abstract
Laurent Schwartz showed that a hermitian kernel K is the difference of two positive kernels iff it has an associated reproducing kernel Krein space of functions. We generalize this equivalence to the free non-commutative setting of nc functions\kernels, with possible application to the locally bounded (equivalently, uniformly nc analytic) case (generalizing a result of Alpay in the classical commutative setting).