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

 

Quotients of little Lipschitz algebras


Author: Nik Weaver
Journal: Proc. Amer. Math. Soc. 125 (1997), 2643-2648
MSC (1991): Primary 46E15; Secondary 46J10, 46J15
MathSciNet review: 1402889
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Abstract: We prove a Tietze type theorem which provides extensions of little Lipschitz functions defined on closed subsets. As a consequence, we get that the quotient of any little Lipschitz algebra by any norm-closed ideal is another little Lipschitz algebra.


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Additional Information

Nik Weaver
Affiliation: Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90024
Email: nweaver@math.ucla.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03985-3
PII: S 0002-9939(97)03985-3
Received by editor(s): March 18, 1996
Additional Notes: This research was supported by NSF grant DMS-9424370
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society