Extensions and generalized resolvents of closed dissipative operators |
| |
Authors: | V I Utkin |
| |
Institution: | 1. Chuvash Pedagogic Institute, USSR
|
| |
Abstract: | Let B be a closed dissipative operator in a Hilbert space ? with an arbitrary domain of definition. We investigate briefly the problem of describing all the closed (and, in particular, the closed maximal) dissipative extensions B of the operator B. Following this we introduce the concept of a generalized resolvent of a closed dissipative operator with an arbitrary domain of definition, and we study the fundamental properties of generalized resolvents. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|