6533b7d3fe1ef96bd1261558

RESEARCH PRODUCT

Biorthogonal vectors, sesquilinear forms, and some physical operators

Fabio BagarelloCamillo TrapaniHiroshi Inoue

subject

Mathematics::Functional AnalysisQuantum Physics010102 general mathematicsFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)01 natural sciencesMathematical OperatorsAlgebraBiorthogonal system0103 physical sciences010307 mathematical physics0101 mathematicsQuantum Physics (quant-ph)Mathematical PhysicsMathematicsStatistical and Nonlinear Physic

description

Continuing the analysis undertaken in previous articles, we discuss some features of non-self-adjoint operators and sesquilinear forms which are defined starting from two biorthogonal families of vectors, like the so-called generalized Riesz systems, enjoying certain properties. In particular we discuss what happens when they forms two $\D$-quasi bases.

10.1063/1.5020427http://hdl.handle.net/10447/288296