Multi-operator colligations and multivariate characteristic functions

Details Multi-operator colligations and multivariate characteristic functions Multi-operator colligations and multivariate characteristic functions

2010-06-11

arxiv.org/abs/1006.2275v1

Mathematics

Functional Analysis

15pp

Scientific paper

In the spectral theory of non-self-adjoint operators there is a well-known
operation of product of operator colligations. Many similar operations appear
in the theory of infinite-dimensional groups as multiplications of double
cosets. We construct characteristic functions for such double cosets and get
semigroups of matrix-valued functions in matrix balls.

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