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epub Regular Extensions of Hermitian Operators download

by A. V. Kuzhel

  • ISBN: 9067642940
  • Author: A. V. Kuzhel
  • ePub ver: 1874 kb
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  • Language: English
  • Pages: 274
  • Publisher: V.S.P. Intl Science (November 1, 1998)
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epub Regular Extensions of Hermitian Operators download

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 concept of regular extensions of an Hermitian (non-densely defined) operator was introduced by A. The use of regular extensions enables one to study various classes of extensions of Hermitian operators without using the method of linear relations. The The concept of regular extensions of an Hermitian (non-densely defined) operator was introduced by A.

Functional Analysis Hermitian Operator Regular Extension. Authors and Affiliations. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. Simferopol State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 16, No. 1, pp. 74–75, January–March, 1982. Cite this article as: Kuzhel’, .

Subjects treated include the wide class of both selfadjoint and non-selfadjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of non-selfadjoint operators; the construction of the selfadjoint.

Subjects treated include the wide class of both selfadjoint and non-selfadjoint extensions of Hermitian operators; characteristic functions of a regular extension; the construction of some operator models for different classes of non-selfadjoint operators; the construction of the selfadjoint dilation of an arbitrary dissipative operator and J-unitary and J-selfadjoint dilations of linear operators; the abstract Lax Phillips scheme in scattering.

cle{Kuzhel1981RegularEO, title {Regular extensions of Hermitian and isometric operators}, author {A. V. Kuzhel' and Ljubov Rudenko}, journal {Ukrainian Mathematical Journal}, year {1981}, volume {33}, pages {612-615} }. A. Kuzhel', Ljubov Rudenko.

A. Kuzhel and S. Kuzhel, Regular Extensions of Hermitian Operators, VSP, Utrecht, 1998. Shtraus, Extensions and characteristic function of a symmetric operator (in Russian), Izv. Zentralblatt MATH: 0930. Akad.

V. Kuzhel', Regular extensions of Hermitian operators in a space with an indefinite metric, Dokl. Nauk SSSR, 265:5 (1982), 1059–1061. 2. Kuzhel', Yu. L. Kudryashov, Symmetric and selfadjoint dilations of dissipative operators, Dokl. Nauk SSSR, 253:4 (1980), 812–815. 3. Kuzhel', Regular extensions of Hermitian operators, Dokl. Nauk SSSR, 251:1 (1980), 30–33. 4. Kuzhel', An analog of the S. Nagy–Foias theorem for dissipative operators, Dokl. Nauk SSSR, 215:2 (1974), 253–254.

Kuzhel' S. Full text . df). English version (Springer): Ukrainian Mathematical Journal 42 (1990), no. 6, pp 755-758. Citation Example: Kuzhel' S. Spaces of boundary values and regular extensions of Hermitian operators // Ukr.

The concept of regular extension of an Hermitian operator was introduced by A. Kuzhel in 1980

The concept of regular extension of an Hermitian operator was introduced by A. This is a natural generalization of the concept of proper extension 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, which is rather cumbersome.

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Flag as Inappropriate. We see that there is a bijection between symmetric extensions of an operator and isometric extensions of its Cayley transform. National Library of Medicine, National Center for Biotechnology 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.

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