Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric

Škalikov, Andrej Andreevič; Trunk, Carsten GND

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.

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Shkalikov, Andrei / Trunk, Carsten: Ob ustojčivosti zamknutosti i samosoprjažennosti dlja 2 x 2 operator-matric. Ilmenau 2016.

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