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Almost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes).

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Bombal Gordón, Fernando and Vera Boti, Gabriel (1975) Almost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes). Collectanea mathematica, 26 (2). pp. 141-153. ISSN 0010-0757

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Official URL: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/3441/4120




Abstract

In this paper the authors extend the concept of almost convergence to vector-valued functions on a semigroup having a left invariant mean. They study the space of almost convergent functions and obtain characterization theorems similar to known theorems about real functions. They also establish the existence of a unique invariant mean on vector-valued weakly almost periodic functions.


Item Type:Article
Uncontrolled Keywords:Means on groups;semigroups
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:17854
Deposited On:23 Jan 2013 11:21
Last Modified:07 Aug 2018 10:41

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