Extensions of the symmetric operator generated by an infinite Jacobi matrix

被引：3

作者：

Allahverdiev, BP ^{[1
]}

机构：

[1] Suleyman Demiral Univ, Dept Math, TR-32260 Isparta, Turkey

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2003年 / 37卷 / 9-10期

关键词：

infinite Jacobi matrix with a matrix entries; minimal symmetric operator; deficiency indices; space of boundary values; self-adjoint and nonself-adjoint extensions of minimal operator;

D O I：

10.1016/S0895-7177(03)00121-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A space of boundary values is constructed for minimal symmetric operator in l(C)(2) (N; E) C (N := {0, 1, 2....}, dim E = n < infinity), with maximal deficiency indices (n, n), generated by an infinite Jacobi matrix with matrix entries. A description of all maximal dissipative, maximal accretive, self-adjoint, and other extensions of such a symmetric operator is given in terms of boundary conditions at infinity. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1093 / 1098

页数：6

共 10 条

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