Generalized Riesz systems and orthonormal sequences in Krein spaces

Fabio Bagarello, Fabio Bagarello, Sergiusz Kużel, Sergiusz Kużel

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)085202-
Number of pages16
JournalJOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL
Volume53
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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