Article
Summability Properties for Multiplication Operators on Banach Function Spaces
Author/s | Delgado Garrido, Olvido
![]() ![]() ![]() ![]() ![]() ![]() ![]() Sánchez Pérez, E. A. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2010 |
Deposit Date | 2021-01-15 |
Published in |
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Abstract | Consider a couple of Banach function spaces X and Y over
the same measure space and the space XY of multiplication operators
from X into Y . In this paper we develop the setting for characterizing
certain summability ... Consider a couple of Banach function spaces X and Y over the same measure space and the space XY of multiplication operators from X into Y . In this paper we develop the setting for characterizing certain summability properties satisfied by the elements of XY . At this end, using the “generalized K¨othe duality” for Banach function spaces, we introduce a new class of norms for spaces consisting of infinite sums of products of the type xy with x ∈ X and y ∈ Y . |
Funding agencies | Universitat Politècnica de València Ministerio de Educación y Ciencia (MEC). España |
Project ID. | PAID-06-08 Ref. 3093
![]() MTM2006-13000-C03-01 ![]() |
Citation | Delgado Garrido, O. y Sánchez Pérez, E.A. (2010). Summability Properties for Multiplication Operators on Banach Function Spaces. Integral Equations and Operator Theory, 66 (2), 197-214. |
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