20. Pattern recognition and statistical learning theory (the theory of support vector
machines). See [40],[58]. In this last volume we refer in particular to the papers [63] and [64] …

A noncommutative Poisson transform associated to a certain class of sequences of
operators on Hilbert spaces, with property (P), is defined on some universalC*-algebras …

We consider a generalization of isometric Hilbert space operators to the multivariable
setting. We study some of the basic properties of these tuples of commuting operators and …

For a class of Hilbert spaces 𝓗 of functions analytic on a domain D⊂ ℂn, we characterize
the n-tuples T of commuting Hilbert space operators which can be represented by means of …

In this volume we study noncommutative domains $\mathcal {D} _f\subset B (\mathcal {H})^
n $ generated by positive regular free holomorphic functions $ f $ on $ B (\mathcal {H})^ n …

This concise monograph explores how core ideas in Hardy space function theory and
operator theory continue to be useful and informative in new settings, leading to new …

The celebrated Sz.-Nagy and Foias and Ando theorems state that a single contraction, or a
pair of commuting contractions, acting on a Hilbert space always possesses isometric …

We first show that every γ-contractive commuting multioperator is unitarily equivalent to the
restriction of S (γ)⊕ W to an invariant subspace, where S (γ) is a backwards multi-shift and …

We obtain a decomposition for multivariable Schur-class functions on the unit polydisk
which, to a certain extent, is analogous to Agler's decomposition for functions from the Schur …

This paper is an attempt to unify the multivariable operator model theory for ball-like
domains and commutative polydiscs and extend it to a more general class of …