Open AccessON MULTIPLE COMPLETENESS OF A SYSTEM OF EIGEN AND ADJOINT ELEMENTS OF OPERATOR SHEAF IN HILBERT SPACES
Author(s) -
A.N. Dzhabrailova
Publication year - 2021
Publication title -
chronos journal
Language(s) - English
Resource type - Journals
ISSN - 2658-7556
DOI - 10.52013/2658-7556-52-2-15
Subject(s) - mathematics , completeness (order theory) , sheaf , hilbert space , operator (biology) , pure mathematics , compact operator on hilbert space , rigged hilbert space , mathematical analysis , compact operator , extension (predicate logic) , unitary operator , computer science , biochemistry , chemistry , repressor , transcription factor , gene , programming language
In this paper the conditions of the existence of multiple completeness of a system of eigen and adjoint elements of operator sheaf quadratically depending on the spectral parameter in Hilbert space is given.