Caracterización de marcos en espacios 2-Hilbert

In this research work we will give a characterization of two special classes of frames such as dual frames and Parseval frames in 2-Hilbert spaces, furthermore we will show some properties that transfer from frames in Hilbert spaces to frames in 2-Hilbert spaces. In addition we will give a necessary...

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Detalles Bibliográficos
Autor: Negrete Petro, Pedro Manuel
Tipo de recurso: tesis de maestría
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2022
País:Colombia
Institución:Universidad de Córdoba
Repositorio:Repositorio Institucional Unicórdoba
Idioma:español
OAI Identifier:oai:repositorio.unicordoba.edu.co:ucordoba/6560
Acceso en línea:https://repositorio.unicordoba.edu.co/handle/ucordoba/6560
Access Level:acceso embargado
Palabra clave:Marcos
Espacios 2-Hilbert
2-Marcos.
2-Marcos duales.
2-Marcos de Parseval.
Frames
2-Hilbert spaces
2-Frame.
Dual 2-frames
Parseval 2-frames
Descripción
Sumario:In this research work we will give a characterization of two special classes of frames such as dual frames and Parseval frames in 2-Hilbert spaces, furthermore we will show some properties that transfer from frames in Hilbert spaces to frames in 2-Hilbert spaces. In addition we will give a necessary and sufficient condition for a countable sequence of vectors of a 2-Hilbert space to be a 2-frame of Parseval. Finally it will be shown how to construct 2-frames and 2-Parseval frames from some bounded operators.