Compact inverses of first-order normal differential operators

Ismailov Z.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.320, no.1, pp.266-278, 2006 (SCI-Expanded) identifier identifier


In this work, firstly we describe all normal extensions of a minimal operator generated by linear differential-operator expression of first order in the Hilbert space of vector functions in finite interval. Later on, we investigate discreteness of spectrum and asymptotical behavior of s-numbers of the inverses of these normal extensions. (c) 2005 Elsevier Inc. All rights reserved.