Langer, M. and Langer, Heinz and Markus, Alexander and Tretter, Christiane (2008) The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions. Complex Analysis and Operator Theory, 2 (1). pp. 99-134. ISSN 1661-8254
![[img]](http://strathprints.strath.ac.uk/style/images/fileicons/application_pdf.png) | PDF - Published Version Restricted to Registered users only Download (677Kb) | Request a copy from the Strathclyde author |
Official URL: http://dx.doi.org/10.1007/s11785-007-0032-z
Abstract
We establish sufficient conditions for the so-called Virozub-Matsaev condition for twice continuously differentiable self-adjoint operator functions. This condition is closely related to the existence of a local spectral function and to the notion of positive type spectrum. Applications to self-adjoint operators in Krein spaces and to quadratic operator polynomials are given.
| Item type: | Article |
|---|---|
| ID code: | 13640 |
| Keywords: | self-adjoint operator function, numerical range, spectrum, Virozub–Matsaev condition, Probabilities. Mathematical statistics, Mathematics |
| Subjects: | Science > Mathematics > Probabilities. Mathematical statistics Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Mrs Carolynne Westwood |
| Date Deposited: | 06 Jan 2010 16:44 |
| Last modified: | 13 Mar 2012 22:34 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/13640 |
Actions (login required)
| View Item |
Fulltext Downloads: |