Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/12285
Títulos: | Unitary skew-dilations of Hilbert space operators |
Autores/as: | Agniel, V. |
Palabras clave: | Hilbert space operators;Dilations;Compressions of linear operators;Functional calculi;Numerical radius;ρ-radii;ρ-classes;(ρn )-classes;Operadores espaciales de Hilbert;Dilataciones;Compresiones de operadores lineales;Cálculos funcionales;Radio numérico;Radios ρ;Clases ρ;Clases (ρn) |
Fecha de publicación: | 2020 |
Editor/a: | Universidad de Extremadura |
Resumen: | The aim of this paper is to study, for a given sequence (ρn )n≥1 of complex numbers, the class of Hilbert space operators possessing (ρn)-unitary dilations. This is the class of bounded linear operators T acting on a Hilbert space H, whose iterates Tn can be represented as Tn = ρnPHUn|H , n ≥ 1, for some unitary operator U acting on a larger Hilbert space, containing H as a closed subspace. Here PH is the projection from this larger space onto H. The case when all ρn ’s are equal to a positive real number ρ leads to the class Cρ introduced in the 1960s by Foias and Sz.-Nagy, while the case when all ρn ’s are positive real numbers has been previously considered by several authors. Some applications and examples of operators possessing (ρn)-unitary dilations, showing a behavior different from the classical case, are given in this paper. |
URI: | http://hdl.handle.net/10662/12285 |
DOI: | 10.17398/2605-5686.35.2.137 |
Colección: | Extracta Mathematicae Vol. 35, nº 2 (2020) |
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