##### Department of Mathematics,

University of California San Diego

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### Functional Analysis Seminar

## Victor Vinnikov

#### Ben Gurion University of the Negev

## Noncommutative completely positive kernels, and interpolation and transfer function realization for the noncommutative Schur-Agler class

##### Abstract:

I will survey some aspects of the theory of noncommutative completely positive kernels, which are the generalization of usual positive kernels to the setting of free noncommutative function theory. I will then use the language of noncommutative completely positive kernels to discuss the noncommutative generalizations of the interpolation and realization theorems for the Schur-Agler class. This is a joint work with J. Ball and G. Marx.

Host: Bill Helton

### April 1, 2016

### 11:00 AM

### AP&M 7321

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