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Functions operating from a complex Banach space to its real part
Author(s):
Eggert
Briem
Journal:
Proc. Amer. Math. Soc.
125
(1997),
861-867.
MSC (1991):
Primary 46E15, 46J10
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Abstract:
We consider functions operating from a complex Banach function space to its real part. We show among other things, that if  for all  in an ultraseparating Banach function space  , then Re .
References:
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- 2.
- A. Bernard, Une fonction non Lipschitzienne peut-elle opérer sur un espace de Banach de fonctions non trivial?, J. Funct. Anal. 122 (1994), 451-477. MR 95h:46036
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- E. Briem, Operating functions and ultraseparating function spaces, Lecture Notes in Pure and Appl. Math., vol. 136, Marcel Dekker, New York, Basel and Hong Kong, 1991, pp 55-59. MR 93a:46040
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- E. Briem and K. Jarosz, Operating functions for Banach function spaces, to appear in the Rocky Mount. J. of Math.
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Additional Information:
Eggert
Briem
Affiliation:
Science Institute, University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland
Email:
briem@rhi.hi.is
DOI:
10.1090/S0002-9939-97-03655-1
PII:
S 0002-9939(97)03655-1
Keywords:
Operating functions,
function space,
ultraseparation
Received by editor(s):
March 9, 1995
Received by editor(s) in revised form:
October 4, 1995
Communicated by:
Theodore W. Gamelin
Copyright of article:
Copyright
1997,
American Mathematical Society
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