Artículo
Clarkson-McCarthy Interpolated Inequalities in Finsler norms
Fecha de publicación:
12/2009
Editorial:
Victoria University
Revista:
Journal of inequalities in pure and applied mathematics
ISSN:
1443-5756
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We apply the complex interpolation method to prove that, given two spaces B (n) p0,a;s0 , B(n) p1,b;s1 of n-tuples of operators in the p-Schatten class of a Hilbert space H, endowed with weighted norms associated to positive and invertible operators a and b of B(H) then, the curve of interpolation (B (n) p0,a;s0 , B(n) p1,b;s1 )[t] of the pair is given by the space of n-tuples of operators in the pt-Schatten class of H, with the weighted norm associated to the positive invertible element γa,b(t) = a 1/2 (a −1/2 ba−1/2 ) ta 1/2 .
Palabras clave:
P-Schatten Class
,
Complex Method
,
Clarkson-Mc Carthy Inequalities
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Conde, Cristian Marcelo; Clarkson-McCarthy Interpolated Inequalities in Finsler norms; Victoria University; Journal of inequalities in pure and applied mathematics; 10; 1; 12-2009; 1-10
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