CHARACTERIZATIONS OF SELFADJOINT OPERATORS

Sebestyen, Z [Sebestyén, Zoltán (Funkcionálanalízis), author] Department of Applied Analysis and Computationa... (ELTE / ELU FoS / IM); Tarcsay, Z [Tarcsay, Zsigmond (Funkcionálanalízis), author] Department of Applied Analysis and Computationa... (ELTE / ELU FoS / IM)

English Scientific Article (Journal Article)
  • SJR Scopus - Mathematics (miscellaneous): Q3
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    The purpose of this paper is to revise von Neumann's characterizations of selfadjoint operators among symmetric ones. In fact, we do not assume that the underlying Hilbert space is complex, nor that the corresponding operator is densely defined, moreover, that it is closed. Following Arens, we employ algebraic arguments instead of the geometric approach of von Neumann using the Cayley transform.
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    2021-02-26 20:35