Stability of index for linear relations and its applications |
| |
Authors: | Guojing Ren |
| |
Institution: | School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, 250014, PR China |
| |
Abstract: | This paper is concerned with the stability of linear relations in Banach and Hilbert spaces. Several important results about the stability of closedness and the stability of indices of operators in Banach spaces are extended to the linear relations in Banach spaces. Moreover, the stability of deficiency indices of dissipative linear relations in Hilbert spaces is studied. As an important application, we discuss the stability of deficiency indices of dissipative linear relations generated by second-order difference expressions. |
| |
Keywords: | Linear relation Stability Deficiency index Dissipative Hermitian |
本文献已被 ScienceDirect 等数据库收录! |