Artículo
E-Operator Ideals Determined by Banach Spaces with Unconditional Bases
Fecha de publicación:
12/2022
Editorial:
Springer
Revista:
Mediterranean Journal Of Mathematics
ISSN:
1660-5446
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Let E be a Banach space with an 1-unconditional basis. In this paper, we introduce the notions of E-summing operators and E-dominated operators. We show that the ideals of E-summing operators and E-dominated operators are maximal Banach operator ideals. Characterizations of the ideals of E-summing operators and E-dominated operators are given in terms of the ideals of E-nuclear operators and uniformly E-nuclear operators, respectively. The finite E-compact and finite uniformly E-compact norms are also investigated. We show that the finite E-compact (respectively, finite uniformly E-compact) and the E-compact (respectively, uniformly E-compact) quasi-norms on finite rank operators are equivalent.
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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
Kim, Ju Myung; Turco, Pablo Alejandro; Zheng, Bentuo; E-Operator Ideals Determined by Banach Spaces with Unconditional Bases; Springer; Mediterranean Journal Of Mathematics; 19; 6; 12-2022; 1-18
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