K-Riesz bases and K-g-Riesz bases in Hilbert C∗-module
Abstract This paper is devoted to studying the K-Riesz bases and the K-g-Riesz bases in Hilbert C∗-modules; we characterize the concept of K-Riesz bases by a bounded below operator and the standard orthonormal basis for Hilbert C∗-modules H. Also We give some properties and chara...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Chile |
| Institución: | Agencia Nacional de Investigación y Desarrollo |
| Repositorio: | SciELO Chile |
| OAI Identifier: | oai:scielo:S0716-09172023000501241 |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172023000501241 |
| Access Level: | acceso abierto |
| Palabra clave: | Riesz bases K-Riesz bases K-g-Riesz bases C∗-algebra Hilbert C∗-module |
| Sumario: | Abstract This paper is devoted to studying the K-Riesz bases and the K-g-Riesz bases in Hilbert C∗-modules; we characterize the concept of K-Riesz bases by a bounded below operator and the standard orthonormal basis for Hilbert C∗-modules H. Also We give some properties and characterization of K-g-Riesz bases by a bounded surjective operator and g-orthonormal basis for H. Finally we consider the relationships between K-Riesz bases and K-g-Riesz bases. |
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