This article is cited in 1 paper

Discreteness of the spectrum and completeness of systems of characteristic and associated vectors of second-order nonself-adjoint differential operators

I. I. Golichev

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: Conditions are found under which $A^1\in\sigma_p$ ($A$ is a nonself-adjoint operator). For differential operators in $L_2(-\infty, \infty)$ with real coefficients, conditions are found for the existence of a regular point, necessary and sufficient and also sufficient conditions are found for the spectrum to be discrete, and conditions are found for the system of characteristic and associated vectors to be complete.

UDC: 513.88

Received: 17.02.1970

 English version: Mathematical Notes, 1971, 9:4, 230–234

Bibliographic databases:

• 
•