Trace class perturbation of closed linear relations
Spectral Theory
2018-12-07 v1
Abstract
This paper studies trace class perturbation of closed linear relations in Hilbert spaces. The concept of trace class perturbation of closed relations is introduced by orthogonal projections. Equivalent characterizations of compact and trace class block operator matrices are first given in terms of their elements, separately. By using them, several equivalent and sufficient characterizations of trace class perturbation of closed linear relations are obtained.
Keywords
Cite
@article{arxiv.1812.02324,
title = {Trace class perturbation of closed linear relations},
author = {Yuming Shi and Yan Liu},
journal= {arXiv preprint arXiv:1812.02324},
year = {2018}
}
Comments
21 pages