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.
Bagarello, F., Inoue, H., Trapani, C. (2018). Biorthogonal vectors, sesquilinear forms, and some physical operators. JOURNAL OF MATHEMATICAL PHYSICS, 59(3) [10.1063/1.5020427].
Biorthogonal vectors, sesquilinear forms, and some physical operators
Bagarello, F.;Trapani, C.
2018-01-01
Abstract
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.
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