Intertwining operators between different Hilbert spaces: connection with frames
arXiv:0904.0203 · doi:10.1063/1.3094758
Abstract
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.
J. Math. Phys., in press
References in corpus (1)
Cited by in corpus (15)
- Examples of Pseudo-bosons in quantum mechanics
- Pseudo-bosons, Riesz bases and coherent states
- Construction of pseudo-bosons systems
- Quons, coherent states and intertwining operators
- Mathematical aspects of intertwining operators: the role of Riesz bases
- Pseudo-bosons, so far
- Quantizations from reproducing kernel spaces
- Intertwining operators for non self-adjoint Hamiltonians and bicoherent states
- Weak pseudo-bosons
- Non self-adjoint Hamiltonians with complex eigenvalues
- On some properties of g-frames and g-coherent states
- Gibbs states defined by biorthogonal sequences
- Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity
- Pseudo-Bosons from Landau Levels
- Two-parameters pseudo-bosons