Artículo
Weaker relatives of the bounded approximation property for a Banach operator ideal
Fecha de publicación:
05/2016
Editorial:
Academic Press Inc Elsevier Science
Revista:
Journal Of Approximation Theory
ISSN:
0021-9045
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Fixed a Banach operator ideal A, we introduce and investigate two new approximation properties, which are strictly weaker than the bounded approximation property (BAP) for A of Lima et al. (2010). We call them the weak BAP for A and the local BAP for A, showing that the latter is in turn strictly weaker than the former. Under this framework, we address the question of approximation properties passing from dual spaces to underlying spaces. We relate the weak and local BAPs for A with approximation properties given by tensor norms and show that the Saphar BAP of order p is the weak BAP for the ideal of absolutely p*-summing operators, 1≤p≤∞, 1/p+1/p*=1.
Palabras clave:
Banach Operator Ideals
,
Bounded Approximation Properties
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Lassalle, Silvia Beatriz; Oja, Eve; Turco, Pablo Alejandro; Weaker relatives of the bounded approximation property for a Banach operator ideal; Academic Press Inc Elsevier Science; Journal Of Approximation Theory; 205; 5-2016; 25-42
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