Lipschitz 
-summing operators
Authors:
Jeffrey D. Farmer and William B. Johnson
Journal:
Proc. Amer. Math. Soc. 137 (2009), 2989-2995
MSC (2000):
Primary 46B28, 46T99, 47H99, 47L20
DOI:
https://doi.org/10.1090/S0002-9939-09-09865-7
Published electronically:
April 15, 2009
MathSciNet review:
2506457
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: The notion of Lipschitz 
-summing operator is introduced. A nonlinear Pietsch factorization theorem is proved for such operators, and it is shown that a Lipschitz 
-summing operator that is linear is a 
-summing operator in the usual sense.
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, J. Funct. Anal. 194 (2002), no. 2, 332-346. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46B28, 46T99, 47H99, 47L20
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Additional Information
Jeffrey D. Farmer
Affiliation:
Department of Mathematics, University of Denver, Denver, Colorado 80208
Email:
jdfarmer89@hotmail.com
William B. Johnson
Affiliation:
Department Mathematics, Texas A&M University, College Station, Texas 77843
Email:
johnson@math.tamu.edu
DOI:
https://doi.org/10.1090/S0002-9939-09-09865-7
Keywords:
$p$-summing operator,
absolutely summing operator.
Received by editor(s):
January 8, 2008
Published electronically:
April 15, 2009
Additional Notes:
The second author was supported in part by NSF DMS-0503688
Communicated by:
Marius Junge
Article copyright:
© Copyright 2009
By the authors
