Funciones abstractas de p–variación acotada
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| Authors: | , |
|---|---|
| Format: | artículo original |
| Status: | Versión publicada |
| Publication Date: | 2007 |
| Description: | This investigation dedicates to extend the results of Gelfand regarding the abstract functions of bounded variation to the abstract functions of bounded p-variation in a sense similar to the Theorem of Representation of Riez, with the objective of applying this extension to the study of the space of the absolutely p-continuous functions. In this work the spaces of the abstract functions of strong and weak bounded p-variation in an interval are introduced and their main properties are studied. The abstract integral of Stieltjes is defined in the search of a theorem similar to that of Representation of Riesz and a representation of the continuous lineal operators of the space of the absolutely p-continuous functions on an interval in a normed weakly complete space through the abstract functions of bounded p-variation is found. |
| Country: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Language: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/39319 |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/39319 |
| Keyword: | Functional analysis operators functions of bounded p-variation absolutely p-continuous functions Análisis funcional operadores funciones de p-variación acotada funciones absolutamente p-continuas |