Linear operator inequalities - Open Access .click

Functional Analysis and Its Applications, 2007
Let \(A, B, C\) be bounded Hilbert space operators, and let \(A\) and \(C\) be selfadjoint. Let \(M(A,B,C)\) denote the set of all bounded linear operators \(X\) satisfying the quadratic operator inequality \(X^*AX+B^*X+X^*B+C \leq 0\). Applying the operator \(2\times 2\) matrix \((A;B;B^*;C)\), the authors discuss some set theoretic and topological ...
V S Shulman, Shulman V S, M I Ostrovskii
exaly +3 more sources

Operator Inequalities for Positive Linear Maps

2021
The main purpose of this chapter is to select the main results on squaring reverse arithmetic-geometric mean operator inequality and the reverse Ando’s operator inequality. We gathered the most important topics that showed the essential techniques to squaring operator inequalities and their p-power.
Mohammad Bagher Ghaemi +3 more
openaire +1 more source

Inequalities of Polya type for positive linear operators

Houston journal of mathematics, 1996
A number of inequalities are derived for power means and quasi-arithmetic means of bounded linear positive operators on an infinite dimensional Hilbert space.
Mond, B. +3 more
openaire +3 more sources

mathematics
operator inequalities
positive linear map

mathematics - functional analysis
operator inequality
fos: mathematics

functional analysis math.fa
analysis
positive linear maps