Artículo
Positive Representations of L1 of a Vector Measure
Autor/es | Campo Acosta, Ricardo del
Sánchez Pérez, Enrique A. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2007 |
Fecha de depósito | 2022-07-26 |
Publicado en |
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Resumen | We characterize the vector measures n on a Banach lattice such
that the map
|·|dn provides a quasi-norm which is equivalent to the
canonical norm · n of the space L1(n) of integrable functions as an specific
type ... We characterize the vector measures n on a Banach lattice such that the map |·|dn provides a quasi-norm which is equivalent to the canonical norm · n of the space L1(n) of integrable functions as an specific type of transformations of positive vector measures that we call cone-open transformations. We also prove that a vector measure m on a Banach space X constructed as a cone-open transformation of a positive vector measure can be considered in some sense as a positive vector measure by defining a new order on X. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | MTM2006-11690-C02 |
Cita | Campo Acosta, R.d. y Sánchez Pérez, E.A. (2007). Positive Representations of L1 of a Vector Measure. Positivity, 11 (3), 449-459. |
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