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Fenchel duality, Fitzpatrick functions and the Kirszbraun-Valentine extension theorem
Author(s):
Simeon
Reich;
Stephen
Simons
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2657-2660.
MSC (2000):
Primary 46C05, 47H09;
Secondary 46N10
Posted:
March 22, 2005
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Abstract:
We present a new proof of the classical Kirszbraun-Valentine extension theorem. Our proof is based on the Fenchel duality theorem from convex analysis and an analog for nonexpansive mappings of the Fitzpatrick function from monotone operator theory.
References:
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Additional Information:
Simeon
Reich
Affiliation:
Department of Mathematics, The Technion - Israel Institute of Technology, 32000 Haifa, Israel
Email:
sreich@tx.technion.ac.il
Stephen
Simons
Affiliation:
Department of Mathematics, University of California, Santa Barbara, California 93106-3080
Email:
simons@math.ucsb.edu
DOI:
10.1090/S0002-9939-05-07983-9
PII:
S 0002-9939(05)07983-9
Received by editor(s):
April 21, 2004
Posted:
March 22, 2005
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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