Picture of scraped petri dish

Scrape below the surface of Strathprints...

Explore world class Open Access research by researchers at the University of Strathclyde, a leading technological university.

Explore

The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions

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] PDF
langer_langer_markus_tretter08.pdf - Published Version
Restricted to Registered users only

Download (694kB) | Request a copy from the Strathclyde author

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.