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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Regularity of loop group factorization


Author: Michael Taylor
Journal: Proc. Amer. Math. Soc. 133 (2005), 627-631
MSC (2000): Primary 22E67, 35S05
Published electronically: September 8, 2004
MathSciNet review: 2093088
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Abstract: In the factorization of a $\operatorname{Gl}(n,\mathbb{C})$-valued loop $\varphi $ into a unitary factor and a factor holomorphic in the disk, it is shown that the two factors each have as much regularity as $\varphi $, measured in a variety of function spaces, though with exceptions. This is analogous to known results for Birkhoff factorization, but somewhat different techniques are involved.


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Additional Information

Michael Taylor
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
Email: met@math.unc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07667-1
PII: S 0002-9939(04)07667-1
Received by editor(s): October 23, 2003
Published electronically: September 8, 2004
Additional Notes: This work was partially supported by the National Science Foundation
Communicated by: Andreas Seeger
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.