Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers
Sbornik. Mathematics, Tome 201 (2010) no. 12, pp. 1791-1800
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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.
@article{SM_2010_201_12_a3,
author = {Yu. M. Dyukarev},
title = {Examples of block {Jacobi} matrices generating symmetric operators with arbitrary possible values of the deficiency numbers},
journal = {Sbornik. Mathematics},
pages = {1791--1800},
publisher = {mathdoc},
volume = {201},
number = {12},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2010_201_12_a3/}
}
TY - JOUR AU - Yu. M. Dyukarev TI - Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers JO - Sbornik. Mathematics PY - 2010 SP - 1791 EP - 1800 VL - 201 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2010_201_12_a3/ LA - en ID - SM_2010_201_12_a3 ER -
%0 Journal Article %A Yu. M. Dyukarev %T Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers %J Sbornik. Mathematics %D 2010 %P 1791-1800 %V 201 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2010_201_12_a3/ %G en %F SM_2010_201_12_a3
Yu. M. Dyukarev. Examples of block Jacobi matrices generating symmetric operators with arbitrary possible values of the deficiency numbers. Sbornik. Mathematics, Tome 201 (2010) no. 12, pp. 1791-1800. http://geodesic.mathdoc.fr/item/SM_2010_201_12_a3/