An abstract theorem on completeness of systems of root vectors of correct restrictions

Tulenov K.S. Zhumanova L.K.
April 2021 Birkhauser

Advances in Operator Theory
2021 #6 Issue 2

The aim of this work is to prove an abstract theorem on completeness of systems of root vectors of correct restrictions with interesting applications for differential operators. Moreover, this result gives a whole class of non-self-adjoint correct restrictions of maximal operator which possesses a complete system of root vectors in a Hilbert space.

Correct restrictions and extensions , Correct solvability , Maximal operator , Minimal operator , Regular extensions , Self-adjoint operator , Symmetric operator

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Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan

Al-Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling

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