Advanced search
Start date
Betweenand


ON THE EXTREMAL EXTENSIONS OF A NON-NEGATIVE JACOBI OPERATOR

Author(s):
Ananieva, Aleksandra ; Goloshchapova, Nataly
Total Authors: 2
Document type: Journal article
Source: METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY; v. 19, n. 4, p. 9-pg., 2013-01-01.
Abstract

We consider the minimal non-negative Jacobi operator with pxp matrix entries. Using the technique of boundary triplets and the corresponding Weyl functions, we describe the Friedrichs and Krein extensions of the minimal Jacobi operator. Moreover, we parametrize the set of all non-negative extensions in terms of boundary conditions. (AU)

FAPESP's process: 12/50503-6 - Boundary triplet theory and its applications to spectral theory of differential operators with point interactions and nonlinear Schrödinger equations with potentials of $ / delta $ - $ delta $ type
Grantee:Nataliia Goloshchapova
Support Opportunities: Scholarships in Brazil - Post-Doctoral