Almost convergent vector-valued functions. (Spanish: Funciones vectoriales casi-convergentes).
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...
| Authors: | , |
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| Format: | article |
| Publication Date: | 1975 |
| Country: | España |
| Institution: | Universidad Complutense de Madrid (UCM) |
| Repository: | Docta Complutense |
| Language: | Spanish |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64740 |
| Online Access: | https://hdl.handle.net/20.500.14352/64740 |
| Access Level: | Open access |
| Keyword: | 517.98 Means on groups semigroups Análisis funcional y teoría de operadores |
| Summary: | 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. |
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