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math.FA2006
Some automorphism invariance properties for multicontractions
Chafiq Benhida, Dan Timotin
In the theory of row contractions on a Hilbert space, as initiated by Popescu, two important objects are the Poisson kernel and the characteristic function. We determine their beha…
math.FA2006
The characteristic function of a complex symmetric contraction
Nicolas Chevrot, Emmanuel Fricain, Dan Timotin
It is shown that a contraction on a Hilbert space is complex symmetric if and only if the values of its characteristic function are all symmetric with respect to a fixed conjugatio…