Vol. 44, No. 1, 1973

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Localizing the spectrum

Everette Lee May, Jr

Vol. 44 (1973), No. 1, 211–218

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
Received: 9 August 1971
Published: 1 January 1973
Everette Lee May, Jr