Artículo
The set of partial isometries as a quotient Finsler space
Fecha de publicación:
07/2022
Editorial:
Elsevier Science
Revista:
Indagationes Mathematicae-new Series
ISSN:
0019-3577
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
A known general program, designed to endow the quotient space UA/UB of the unitary groups UA, UB of the C∗ algebras B⊂A with an invariant Finsler metric, is applied to obtain a metric for the space I(H) of partial isometries of a Hilbert space H. I(H) is a quotient of the unitary group of B(H)×B(H), where B(H) is the algebra of bounded linear operators in H. Under this program, the solution of a linear best approximation problem leads to the computation of minimal geodesics in the quotient space. We find solutions of this best approximation problem, and study properties of the minimal geodesics obtained.
Palabras clave:
PARTIAL ISOMETRIES
,
FINSLER METRIC
,
MINIMAL CURVES
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Andruchow, Esteban; The set of partial isometries as a quotient Finsler space; Elsevier Science; Indagationes Mathematicae-new Series; 33; 4; 7-2022; 736-752
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