Presentation
Operators on Lp and the role of the image of the unit ball
Author/s | Romero Moreno, María del Carmen |
Editor | Montes Rodríguez, Alfonso |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2005 |
Deposit Date | 2017-06-21 |
Published in |
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ISBN/ISSN | 9788447210244 |
Abstract | Let p ∈ [1, +∞] such that its conjugate exponent q is not an even integer and let T be an operator defined on Lp(λ) with values in a Banach space. In this note we discuss how the image of the unit ball determines whether ... Let p ∈ [1, +∞] such that its conjugate exponent q is not an even integer and let T be an operator defined on Lp(λ) with values in a Banach space. In this note we discuss how the image of the unit ball determines whether T belongs to some classes of operators such as operator ideals or the class of representable operators. We also study the monotonicity of these properties, proving that a Banach space is Cisomorphic to a subspace of an Lq space if and only if the representability of every operator on Lp is monotone with respect to the image of the unit ball. |
Project ID. | BFM2003-00034
FQM-260 |
Citation | Romero Moreno, M.d.C. (2005). Operators on Lp and the role of the image of the unit ball. En First Advanced Course in Operator Theory and Complex Analysis (113-121), Sevilla: Editorial Universidad de Sevilla. |
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