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Quotients of little Lipschitz algebras
Author(s):
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:
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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