Extensions of the symmetric operator generated by an infinite Jacobi matrix

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Allahverdiev B.

MATHEMATICAL AND COMPUTER MODELLING, vol.37, pp.1093-1098, 2003 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 37
• Publication Date: 2003
• Doi Number: 10.1016/s0895-7177(03)00121-3
• Journal Name: MATHEMATICAL AND COMPUTER MODELLING
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1093-1098
• Süleyman Demirel University Affiliated: Yes

Abstract

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.