Construcción y acoplamiento de marcos en espacios de Hilbert con W-métricas

• Escobar, German ^[1] ; Esmeral, Kevin ^[2] ; Ferrer, Osmin ^[2]
  1. [1] Universidad Surcolombiana

     Universidad Surcolombiana

     Colombia

     
  2. [2] Universidad de Sucre

     Universidad de Sucre

     Colombia

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 34, Nº. 1, 2016 (Ejemplar dedicado a: Revista Integración), págs. 81-93
• Idioma: español
• DOI: 10.18273/revint.v34n1-2016005
• Títulos paralelos:
  • Construction and coupling of frames in Hilbert spaces with W-metrics
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Se definen marcos unitariamente equivalentes en espacios de Hilbert con W-métricas, y se da una caracterización de ellos comparando sus respectivos operadores de análisis. A partir de un espacio de Hiblert con un marco se construye un espacio de Hilbert con W-métrica y un marco unitariamente equivalente al dado. Finalmente, se muestra que el acoplamiento de dos marcos es un marco.

  • English

    A definition of frames unitarily equivalent in Hilbert spaces with W-metrics is stated, and a characterization is given in terms of their respective analysis operators. From a Hilbert space with a frame we construct a Hilbert sapace with W-metric and a frame unitarily equivalent to the given one. Finally, we prove that the coupling of two frames is a frame.

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