Generalized Riesz systems and orthonormal sequences in Krein spaces
arXiv:1912.12662 · doi:10.1088/1751-8121/ab67e4
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.
submitted to Journal of Physics A. arXiv admin note: text overlap with arXiv:1810.05218