Vol. 83, No. 2, 1979

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Continuously varying peaking functions

John Erik Fornaess and Steven Krantz

Vol. 83 (1979), No. 2, 341–347
Abstract

Let X be a compact metric space, A C(X) a closed subalgebra. Let 𝒫X be the set of peak points for A. It is shown that there is a continuous function Φ : 𝒫→ A such that Φ(x) peaks at x for all x ∈𝒫.

Mathematical Subject Classification 2000
Primary: 54C05
Secondary: 54C99
Milestones
Received: 30 October 1978
Revised: 8 January 1979
Published: 1 August 1979
Authors
John Erik Fornaess
Steven Krantz
Department of Mathematics
Washington University in St. Louis
Campus Box 1146
Saint Louis MO 63130
United States
http://www.math.wustl.edu/~sk/