Škalikov, Andrej Andreevič
[Author];
Trunk, Carsten
[Author]
Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric ; On stability of closeness and self-adjointness for 2 x 2 operator matrices
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Media type:
Text;
E-Article
Title:
Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric ; On stability of closeness and self-adjointness for 2 x 2 operator matrices
Contributor:
Škalikov, Andrej Andreevič
[Author];
Trunk, Carsten
[Author]
Footnote:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Description:
Consider an operator which is defined in Banach or Hilbert space by a 2x2 matrix with entries A, B, C, D which where linear operators and which are assumed to be unbounded. In the case when the operators C and B are relatively bounded with respect to the operators A and D, respectively, new conditions of the closeness or closability are obtained for the operator L. For the operator L acting in a Hilbert space the analogs of Rellich-Kato theorems on the stability of self-adjointness are obtained.