Some Relations between Eigenvalues and Matrix Elements of Linear Operators.

Abstract

Let H be a Hilbert space and let G sub p be the set of all linear operators A on H such that the trace of (A star)(A sup p/2) is finite. G sub p is a two-sided ideal in the algebra of all bounded operators on H; if p = or > 1 it is a Banach algebra under a suitable norm. The principal aim of this paper is to determine a condition under which a linear operator belongs to G sub p. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 09, 1971
Accession Number
AD0726214

Entities

People

  • A. S. Markus
  • I. Ts. Gokhberg

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Eigenvalues
  • Equations
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space