Advertisement

Taylor Spectrum

Part of the Operator Theory: Advances and Applications book series (OT, volume 139)

Abstract

In this chapter we introduce and study another important spectral system for commuting operators — the Taylor spectrum. Although the definition of the Taylor spectrum is rather complicated, the Taylor spectrum has a distinguished property among other spectral systems, namely the existence of the functional calculus for functions analytic on a neighbourhood of the Taylor spectrum. From this reason many experts consider the Taylor spectrum to be the proper generalization of the ordinary spectrum for single operators.

Keywords

Banach Space Banach Algebra Functional Calculus Spectral System Koszul Complex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag AG, P.O. Box 133, CH-4010 Basel, Switzerland 2007

Personalised recommendations