The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces

被引：17

作者：

Curgus, B

Dijksma, A

Read, T

机构：

[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

[2] Western Washington Univ, Dept Math, Bellingham, WA 98225 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 329卷 / 1-3期

关键词：

symmetric and selfadjoint operators and relations extensions of symmetric relations; defect indices; boundary operators; boundary coefficients; eigenvalue depending boundary conditions; linearization; reproducing kernel Hilbert spaces; indefinite inner product spaces;

D O I：

10.1016/S0024-3795(01)00237-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundary eigenvalue problems for the adjoint of a symmetric relation S in a Hilbert space with finite, not necessarily equal, defect numbers, which are related to the selfadjoint Hilbert space extensions of S are characterized in terms of boundary coefficients and the reproducing kernel Hilbert spaces they induce. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：97 / 136

页数：40

共 27 条

[1]

Azizov TY., 1990, Linear Operators in Spaces with an Indefinite Metric

[2] Dissipative eigenvalue problems for a Sturm-Liouville operator with a singular potential [J].

Bodenstorfer, B ;

Dijksma, A ;

Langer, H .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 :1237-1257

[3]

Bognar J., 1974, INDEFINITE INNER PRO

[4]

Bruk V. M., 1977, MAT ZAMETKI, V22, P825

[5] SELF-ADJOINT SUBSPACES AND EIGENFUNCTION EXPANSIONS FOR ORDINARY DIFFERENTIAL SUBSPACES [J].

CODDINGTON, EA ;

DIJKSMA, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 20 (02) :473-526

[6]

Cross R., 1998, Multivalued linear operators

[7]

Derkach V., 1995, J MATH SCI, V73, P141

[8] GENERALIZED RESOLVENTS AND THE BOUNDARY-VALUE-PROBLEMS FOR HERMITIAN OPERATORS WITH GAPS [J].

DERKACH, VA ;

MALAMUD, MM .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 95 (01) :1-95

[9]

Derkach VA., 1999, J. Math. Sci, V97, P4420, DOI [10.1007/BF02366102, DOI 10.1007/BF02366102]

[10] SELFADJOINT EXTENSIONS OF REGULAR CANONICAL SYSTEMS WITH STIELTJES BOUNDARY-CONDITIONS [J].

DIJKSMA, A ;

DESNOO, HSV ;

ELSABBAGH, AA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 152 (02) :546-583

← 1 2 3 →