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Regular Extensions Of Hermitian Operators 1998 Edition at Meripustak

Regular Extensions Of Hermitian Operators 1998 Edition

Books from same Author: Kuzhel

Books from same Publisher: Brill

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    • General Information  
    Author(s)Kuzhel
    PublisherBrill
    ISBN9789067642941
    Pages274
    BindingHardback
    LanguageEnglish
    Publish YearNovember 1998

    Description

    Brill Regular Extensions Of Hermitian Operators 1998 Edition by Kuzhel

    01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.The concept of regular extensions of an Hermitian (non-densely defined) operator was introduced by A. Kuzhel in 1980. This concept is a natural generalization of proper extensions of symmetric (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. The central question in this monograph is to what extent the Hermitian part of a linear operator determines its properties. Various properties are investigated and some applications of the theory are given. Chapter 1 deals with some results from operator theory and the theory of extensions. Chapter 2 is devoted to the investigation of regular extensions of Hermitian (symmetric) operators with certain restrictions. In chapter 3 regular extensions of Hermitian operators with the use of boundary-value spaces are investigated. In the final chapter, the results from chapters 1-3 are applied to the investigation of quasi-differential operators and models of zero-range potential with internal structure.