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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2010 Volume 201, Number 12, Pages 83–92 (Mi sm7628)

This article is cited in 14 papers

Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers

Yu. M. Dyukarev

V. N. Karazin Kharkiv National University

Abstract: Examples of symmetric block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers are constructed for the first time. Explicit formulae for the bases of the deficiency subspaces are presented.
Bibliography: 7 titles.

Keywords: symmetric block Jacobi matrices, symmetric operators, deficiency subspaces, deficiency numbers.

UDC: 517.983.33+517.984.51

MSC: 47A53

Received: 24.08.2009 and 11.04.2010

DOI: 10.4213/sm7628


 English version:
Sbornik: Mathematics, 2010, 201:12, 1791–1800

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© Steklov Math. Inst. of RAS, 2024