Title

Differential systems on spaces of bounded linear operators

Abstract

We study systems of differential equations in B(H), the Banach space of bounded linear operators on a separable complex Hubert space H, equipped with the standard operator norm. The systems considered in this paper are infinite dimensional generalizations of mathematical models of learning. We use the polar decomposition of operators to find an explicit form for solutions. We also discuss the usual questions of existence and uniqueness of solutions, as well as their stability behavior. © 2009 Academic Publications.

Publication Title

International Journal of Pure and Applied Mathematics

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