Accession Number : AD0726214

Title :   Some Relations between Eigenvalues and Matrix Elements of Linear Operators.

Descriptive Note : R. E. Gibson Library bulletin translation series,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Gokhberg,I. Ts. ; Markus,A. S.

Report Date : 09 FEB 1971

Pagination or Media Count : 23

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)

Descriptors :   (*FUNCTIONAL ANALYSIS, OPERATORS(MATHEMATICS)), HILBERT SPACE, STOCHASTIC PROCESSES, ALGEBRAS, MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS, USSR

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE