Artículo
Lineability and modes of convergence
Autor/es | Calderón Moreno, María del Carmen
Gerlach Mena, Pablo José Prado Bassas, José Antonio |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2020-01 |
Fecha de depósito | 2020-02-06 |
Publicado en |
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Resumen | In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different
modes of convergence. Concretely, the algebraic size of the family of sequences that are ... In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.e. pointwise, uniformly but not pointwise convergent, and uniformly convergent but not in L1-norm, are analyzed. These findings extend and complement a number of earlier results by several authors. |
Identificador del proyecto | FQM-127
P08-FQM-03543 PGC2018- 098474-B-C21 |
Cita | Calderón Moreno, M.d.C., Gerlach Mena, P.J. y Prado Bassas, J.A. (2020). Lineability and modes of convergence. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114 (18) |
Ficheros | Tamaño | Formato | Ver | Descripción |
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