Localizing the spectrum

Everette Lee May, Jr

Vol. 44 (1973), No. 1, 211–218

DOI: 10.2140/pjm.1973.44.211

Abstract

It is the purpose of this paper to show that the notion of spectrum for linear transformations can be extended to nonlinear transformations. The technique used is localization, as it is applied, for example, to define the local Lipschitz property from the global one. A discussion of two attempts to extend globally the spectral concepts to the nonlinear setting will serve as a preliminary to the main results.

Mathematical Subject Classification 2000

Primary: 47H99

Secondary: 47A10

Milestones

Received: 9 August 1971

Published: 1 January 1973