Conditions of fixed sign for $n\times n$ operator matrices
Functional Analysis
2010-09-02 v1 Classical Analysis and ODEs
Operator Algebras
Abstract
A positive definiteness criterion and, under the additional conditions, a nonnegativity criterion for a self-adjoint continuous operator matrix, acting in product of an arbitrary number of real separable Hilbert spaces, are obtained. As application, both sufficient and necessary analytical conditions of functional extremum of several Hilbert variables are considered.
Keywords
Cite
@article{arxiv.1009.0099,
title = {Conditions of fixed sign for $n\times n$ operator matrices},
author = {I. V. Orlov and E. V. Bozhonok},
journal= {arXiv preprint arXiv:1009.0099},
year = {2010}
}
Comments
10 pages