Abstract
Regularizers of densely defined unbounded linear operators in Banach spaces and their applications to spectral theory are considered. Necessary and sufficient conditions in terms of regularizer properties for an unbounded operator T to have discrete spectrum are obtained. In the case where T has a self-adjoint regularizer in some Schatten--von Neumann ideals, asymptotic properties of the eigenvalues are investigated; in particular, it is shown that the eigenvalues of T asymptotically belong to some angle in the complex plane. Bibliography: 16 titles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
