The concept of regular extensions of an Hermitian (non-denselydefined) operator was introduced by A. Kuzhel in 1980. This conceptis a natural generalization of proper extensions of symmetric(densely defined) operators. The use of regular extensions enablesone to study various classes of extensions of Hermitian operatorswithout using the method of linear relations. The central question inthis monograph is to what extent the Hermitian part of a linearoperator determines its properties. Various properties areinvestigated and some applications of the theory are given.
Chapter 1 deals with some results from operator theory and the theoryof extensions. Chapter 2 is devoted to the investigation of regularextensions of Hermitian (symmetric) operators with certainrestrictions. In chapter 3 regular extensions of Hermitian operatorswith the use of boundary-value spaces are investigated. In the finalchapter, the results from chapters 1-3 are applied to theinvestigation of quasi-differential operators and models ofzero-range potential with internal structure.
This book will be of value and interest to researchers working in thefield of operator theory and applications.
1998; xii+274 pages
ISBN 90-6764-294-0
Price (all prices are subject to change without notice): EUR 188/US$ 269
