Regular Extensions of Hermitian Operators 1st edition by Kuzhel 3112302729 978-3112302729

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Product details:

ISBN 10: 3112302729
ISBN 13: 978-3112302729
Author: A V Kuzhel S A Kuzhel

In this monograph, we investigate various properties of regular extensions of Her- mitian (nondensely defined) operators and describe some applications of this theory.

The concept of regular extensions of an Hermitian operator was introduced by A. Kuzhel in 1980. This concept is a natural generalization of proper extensions of sym- metric (densely defined) operators. The use of regular extensions enables one to study various classes of extensions of Hermitian operators without using the method of linear relations, which is rather cumbersome.

It should be noted that, since any linear operator is a regular extension of its Her- mitian part, in fact, in this book, we consider the following problem: “To what extent does the Hermitian part of a linear operator determine its properties?”

Regular Extensions of Hermitian Operators 1st Table of contents:

Chapter 1 REGULAR EXTENSIONS

Chapter 2 REGULAR EXTENSIONS WITH RESTRICTIONS

Chapter 3 BOUNDARYVALUE SPACES OF HERMITIAN OPERATORS

Chapter 4 EXAMPLES AND APPLICATIONS

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Kuzhel,Regular Extensions,Hermitian Operators