Intertwining operators between different Hilbert spaces: connection with frames

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Abstract

In this paper we generalize a strategy recently proposed by the author concerningintertwining operators. In particular, we discuss the possibility of extending ourprevious results in such a way to construct ͑almost͒ isospectral self-adjoint opera-tors living in different Hilbert spaces. Many examples are discussed in details.Many of them arise from the theory of frames in Hilbert spaces, others from theso-called g-frames.
Lingua originaleEnglish
pagine (da-a)043509-1-043509-13
Numero di pagine13
RivistaJournal of Mathematical Physics
Volume50
Stato di pubblicazionePublished - 2009

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Intertwining Operators
Hilbert space
operators
Generalise
Operator
Strategy

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cita questo

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AB - In this paper we generalize a strategy recently proposed by the author concerningintertwining operators. In particular, we discuss the possibility of extending ourprevious results in such a way to construct ͑almost͒ isospectral self-adjoint opera-tors living in different Hilbert spaces. Many examples are discussed in details.Many of them arise from the theory of frames in Hilbert spaces, others from theso-called g-frames.

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