Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum

Brown, Brian Malcolm, Hinchcliffe, James, Marletta, Marco, Naboko, Serguei and Wood, Ian 2009. The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum. Integral Equations and Operator Theory 63 (3) , pp. 297-320. 10.1007/s00020-009-1668-z

Full text not available from this repository.

Abstract

n the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction AB of the maximal operator? We obtain results showing that it is possible to describe explicitly certain spaces S and [(S)\tilde] such that the resolvent bordered by projections onto these subspaces is analytic everywhere that the M-function is analytic. We present three examples – one involving a Hain-Lüst type operator, one involving a perturbed Friedrichs operator and one involving a simple ordinary differential operators on a half line – which together indicate that the abstract results are probably best possible.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: M-function - boundary triples - adjoint pairs - spectrum
Publisher: Springer
ISSN: 0378-620X
Last Modified: 04 Jun 2017 02:54
URI: http://orca-mwe.cf.ac.uk/id/eprint/13561

Citation Data

Cited 24 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item