Open AccessON THE POIN ON THE POINT SPECTRUM OF OPERA TRUM OF OPERATOR MATRIX COMIMG T X COMIMG TO A A DIAGONALIZABLE MATRIX
Author(s) -
Тулкин Хусенович Расулов,
Zarina Erkin kizi Mustafoeva
Publication year - 2019
Publication title -
scientific reports of bukhara state university
Language(s) - English
Resource type - Journals
ISSN - 2181-1466
DOI - 10.52297/2181-1466/2019/3/4/4
Subject(s) - diagonalizable matrix , mathematics , spectrum (functional analysis) , integer matrix , operator (biology) , matrix (chemical analysis) , pure mathematics , algebra over a field , discrete mathematics , eigenvalues and eigenvectors , symmetric matrix , quantum mechanics , physics , nonnegative matrix , biochemistry , chemistry , materials science , repressor , transcription factor , composite material , gene
It isconsidered herethediagonalizable operatormatrix . The essential and point spectrum of are described via the spectrum of the more simpler operator matrices. If the elements of a matrix are linear operators in Banach or Hilbert spaces, then it is called a block-operator matrix. One of the special classes of block operator matrices are the Hamiltonians of a system with a nonconserved number of quantum particles on an integer or noninteger lattice. The inclusion for the discrete spectrum of is established.