Operators on the Fréchet sequence space ces(p+), $1 \leq p <
[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate various properties (eg. continuity, compactness, mean ergodicity) of cer...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/160090 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/160090 |
| Access Level: | acceso abierto |
| Palabra clave: | Fréchet space Sequence space ces(p+) Spectrum Multiplier operator Cesàro operator Mean ergodic operator MATEMATICA APLICADA |
| Sumario: | [EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate various properties (eg. continuity, compactness, mean ergodicity) of certain linear operators acting in and between the spaces ces(p+), such as the Cesàro operator, inclusion operators and multiplier operators. Determination of the spectra of such classical operators is an important feature. It turns out that both the space of multiplier operators M(ces(p+)) and its subspace Mc(ces(p+)) consisting of the compact multiplier operators are independent of p. Moreover, Mc(ces(p+)) can be topologized so that it is the strong dual of the Fréchet¿Schwartz space ces(1+) and (Mc(ces(p+))¿ß¿ces(1+) is a proper subspace of the Köthe echelon Fréchet space M(ces(p+))=¿¿(A),1¿p<¿, for a suitable matrix A |
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