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Intertwining operators between different Hilbert spaces: connection with frames
Fabio Bagarellosubject
Computer scienceHilbert spaceFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Operator theoryConnection (mathematics)Mathematical OperatorsAlgebrasymbols.namesakeIntertwining operatorsIsospectralOperator (computer programming)Linear algebrasymbolsMathematics::Metric GeometryFrameSettore MAT/07 - Fisica MatematicaEigenvalues and eigenvectorsMathematical Physicsdescription
In this paper we generalize a strategy recently proposed by the author concerning intertwining operators. In particular we discuss the possibility of extending our previous results in such a way to construct (almost) isospectral self-adjoint operators 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 the so-called g-frames.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-04-01 |