6533b834fe1ef96bd129e12a
RESEARCH PRODUCT
Generalized Riesz systems and orthonormal sequences in Krein spaces
Fabio BagarelloSergiusz Kużelsubject
Statistics and ProbabilityPure mathematics46N50 81Q12FOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Mathematics::Spectral TheoryRiesz basisBiorthogonal sequenceModeling and SimulationPT -symmetric HamiltonianKrein spaceOrthonormal basisSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsdescription
We analyze special classes of bi-orthogonal sets of vectors in Hilbert and in Krein spaces, and their relations with generalized Riesz systems. In this way, the notion of the first/second type sequences is introduced and studied. We also discuss their relevance in some concrete quantum mechanical system driven by manifestly non self-adjoint Hamiltonians.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-10-11 | Journal of Physics A: Mathematical and Theoretical |