Vol. 2, No. 5, 2009

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Isometric composition operators acting on the Chebyshev space

Thomas E. Goebeler, Jr. and Ashley L. Potter

Vol. 2 (2009), No. 5, 533–548
Abstract

Norms of certain composition operators are given in terms of their symbols in some finite-dimensional setting. Then a family of isometric composition operators acting on certain vector spaces is identified.

Keywords
composition operator, norm, isometry
Mathematical Subject Classification 2000
Primary: 47B33, 47B38
Milestones
Received: 10 November 2008
Revised: 25 June 2009
Accepted: 12 August 2009
Published: 13 January 2010

Communicated by David Larson
Authors
Thomas E. Goebeler, Jr.
Department of Mathematics and Computer Science
Ursinus College
Collegeville, PA 19426
United States
Ashley L. Potter
Department of Mathematics
Perkiomen Valley High School
509 Gravel Pike
Collegeville, PA 19426
United States