Operator Algebras Seminar Ical Atom

A seminar on operator algebras and related concepts, such as operator spaces, systems, and noncommutative analysis.

The seminar meets on Mondays, 11:00-12:00, in

This Week

Place: -101

Itzhak Calvente (BGU)

Reproducing kernel Krein spaces of non-commutative functions

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).

2025–26–B meetings

Date
Title
Speaker
Abstract
Jul 6, In -101 Reproducing kernel Krein spaces of non-commutative functionsOnline Itzhak Calvente (BGU)

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).

Seminar run by Dr. Eli Shamovich