On spectral functions for commutative J-self-adjoint operator families of the Dκ+-class

被引：0

作者：

Strauss, Vladimir ^{[1
]}

机构：

[1] Univ Simon Bolivar, Dept Pure & Appl Math, Caracas 1080A, Venezuela

来源：

COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS III | 2008年 / 455卷

关键词：

indefinite metric; commutative operators; eigenspaces; spectral decomposition;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Commutative J-self-adjoint operator families of the so-called D-kappa(+)-class in Krein spaces have properties very close to the properties of commutative pi-self-adjoint operator families. On the other hand, the definition of this class does not allow us to check directly if some concrete commutative J-self-adjoint operator family belongs to the class. We describe some properties of the D-kappa(+)-class which give a possibility to verify if an operator family in question is in the class.

引用

页码：349 / 367

页数：19

共 50 条

[41] SPECTRAL REPRESENTATIONS FOR FAMILIES OF SELF-ADJOINT OPERATORS
BROIDO, MM
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 62 : 209 - &
[42] ON THE BASICITY OF A SYSTEM OF EIGEN AND ADJOINT FUNCTIONS OF NOT SELF-ADJOINT DIFFERENTIAL OPERATOR
BLOSHANSKAIA, SK
DOKLADY AKADEMII NAUK SSSR, 1980, 252 (01): : 17 - 19
[43] RIESZ MEANS OF SPECTRAL FUNCTIONS OF THE NON-SELF-ADJOINT LAPLACE OPERATOR IN THE PRESENCE OF SELF-ADJOINT FUNCTIONS OF THE ORDER WHICH EXCEEDS THE RIESZ MEAN ORDER
SALIMOV, JS
DOKLADY AKADEMII NAUK SSSR, 1986, 289 (06): : 1311 - 1314
[44] J-self-adjoint extensions for second-order linear difference equations with complex coefficients
Huaqing Sun
Guojing Ren
Advances in Difference Equations, 2013
[45] J-self-adjoint extensions for second-order linear difference equations with complex coefficients
Sun, Huaqing
Ren, Guojing
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[46] CONVERGENCE OF SPECTRAL EXPANSIONS, CORRESPONDING TO NONNEGATIVE SELF-ADJOINT EXTENSIONS OF A STURM LIOUVILLE OPERATOR, OF FUNCTIONS OF THE CLASS H-P-ALPHA
LAZHETICH, N
DIFFERENTIAL EQUATIONS, 1981, 17 (12) : 1360 - 1368
[47] THE CONVERGENCE OF SPECTRAL DECOMPOSITIONS, CORRESPONDING TO NONNEGATIVE SELF-ADJOINT EXTENSIONS OF SCHRODINGER OPERATOR, FOR FUNCTIONS FROM THE H-1(ALPHA) CLASS
LAZHETICH, N
DOKLADY AKADEMII NAUK SSSR, 1983, 269 (02): : 278 - 280
[48] CONVERGENCE OF SPECTRAL EXPANSIONS OF FUNCTIONS OF THE CLASS HP-ALPHA CORRESPONDING TO NONNEGATIVE SELF-ADJOINT EXTENSIONS OF A STURM-LIOUVILLE OPERATOR
LAZHETICH, N
DIFFERENTIAL EQUATIONS, 1984, 20 (01) : 49 - 55
[49] Spectral behaviour of a simple non-self-adjoint operator
Boulton, LS
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 186 (01) : 186 - 229
[50] ANALYTIC OPERATOR RINGS AND ANALYTIC J-SELF ADJOINT OPERATOR RING
MA, JP
CHINESE ANNALS OF MATHEMATICS SERIES B, 1982, 3 (05): : 595 - 598

← 1 2 3 4 5 →