Some relations between eigenvalues and matrix elements of linear operators
I. C. Gohberg, A. S. Markus · Translations - American Mathematical Society/Translations · 1966
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)