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On the failure of close-to-normal structure type conditions and pathological Kannan maps
Author(s):
Michael
A.
Smyth
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3063-3069.
MSC (1991):
Primary 46B20, 47H09
MathSciNet review:
1342047
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Abstract:
We consider the failure of close-to-normal structure type conditions and show that a Banach space can be renormed to fail close-to-weak normal structure exactly when it contains a norm inseparable weakly compact subset. Included is an example of a particularly pathological fixed point free Kannan map.
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Additional Information:
Michael
A.
Smyth
Affiliation:
Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
Address at time of publication:
1 Frost Rd., Mt. Roskill, Auckland, New Zealand
DOI:
10.1090/S0002-9939-96-03466-1
PII:
S 0002-9939(96)03466-1
Received by editor(s):
February 23, 1995
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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