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.
Bagarello F., Kuzel S. (2020). Generalized Riesz systems and orthonormal sequences in Krein spaces. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 53(8), 085202 [10.1088/1751-8121/ab67e4].
Generalized Riesz systems and orthonormal sequences in Krein spaces
Bagarello F.
;Kuzel S.
2020-01-01
Abstract
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.
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