Compact inverses of first-order normal differential operators

被引：18
|
作者：
Ismailov, ZI [1 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, Fac Arts & Sci, TR-61080 Trabzon, Turkey
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 320卷 / 01期
关键词：
differential operator; formally normal and normal operators; minimal and maximal operators; extension; class of compact operators; s-number of an operator; asymptotics of s-number;
D O I：
10.1016/j.jmaa.2005.06.090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：266 / 278
页数：13
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