Limit properties of monotone matrix functions |
| |
Authors: | Jussi Behrndt Seppo Hassi Henk De Snoo Rudi Wietsma |
| |
Affiliation: | 1. Institut für Mathematik, MA 6-4, Technische Universität Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany;2. Department of Mathematics and Statistics, University of Vaasa, P.O. Box 700, FI-65101 Vaasa, Finland;3. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, P.O. Box 407, 9700 AK Groningen, Netherlands |
| |
Abstract: | The basic objects in this paper are monotonically nondecreasing matrix functions defined on some open interval of and their limit values and at the endpoints a and b which are, in general, selfadjoint relations in . Certain space decompositions induced by the matrix function are made explicit by means of the limit values and . They are a consequence of operator inequalities involving these limit values and the notion of strictness (or definiteness) of monotonically nondecreasing matrix functions. This treatment provides a geometric approach to the square-integrability of solutions of definite canonical systems of differential equations. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|