Artículo
Further refinements of the Heinz inequality
Fecha de publicación:
04/2014
Editorial:
Elsevier
Revista:
Linear Algebra And Its Applications
ISSN:
0024-3795
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The celebrated Heinz inequality asserts that 2|||A^1/2XB^1/2||| leq|||A^νXB^(1−ν)+ A^(1−ν)XB^ν||| leq |||AX + XB||| for X ∈ B(H ), A,B ∈B(H )_+, every unitarily invariant norm ||| · ||| and ν ∈ [0,1]. In this paper, we present several improvement of the Heinz inequality by using the convexity of the function F(ν) = ||||A^νXB^(1−ν)+ A^(1−ν)XB^ν|||, some integration techniques and various refinements of the Hermite?Hadamard inequality.
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Kaur, Rupinderjit; Moslehian, Mohammad Sal; Singh, Mandeep; Conde, Cristian Marcelo; Further refinements of the Heinz inequality; Elsevier; Linear Algebra And Its Applications; 447; 4-2014; 26-37
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