Titlebook: Operator Theory, Functional Analysis and Applications; M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich Conference proceedings 2021 Sprin

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,-Inner Functions and ,-Contractions,ns admitting a suitable transfer function realization. We associate with each .-contraction . ∈ .(.). a canonical operator-valued .-inner function and extend a uniqueness theorem of Arveson for minimal .-dilations to our setting. We thus generalize results of Olofsson for .-hypercontractions on the

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The Inverse Characteristic Polynomial Problem for Trees,path or a star. We conjecture that the same is true for any tree (this is so for complex characteristic polynomials and complex matrices). Here, we constructively prove a very large portion of this conjecture by a method that mates the graph of the polynomial with a notion of balance of the tree rel

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A Note on the Fredholm Theory of Singular Integral Operators with Cauchy and Mellin Kernels, II, real line are formulated under weaker conditions than in Junghanns and Kaiser (Oper Theory Adv Appl 271:291–325, 2018). Moreover, results on the one-sided invertibility of the operators under consideration are proved.

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A Note on Group Representations, Determinantal Hypersurfaces and Their Quantizations,xample, a finite Coxeter group is determined by the determinantal hypersurface described by its natural generators under the regular representation. This short note solves three problems about extending this result in the negative. On the affirmative side, it is shown that a quantization of a determ

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et culturally sensitive treatment.Cases presented by authors.Synthesizing insights from psychiatry, social psychology, and anthropology, Voices of Trauma: Treating Survivors across Cultures sets out a framework for therapy that is as culturally informed as it is productive. An international panel of