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Almost transitivity in CoL

Published online by Cambridge University Press:  01 January 1997

P. GREIM  and
M. RAJAGOPALAN
P. GREIM
Affiliation:
The Citadel, Charleston, South Carolina 29409, U.S.A. e-mail address: greimp@citadel.edu
M. RAJAGOPALAN
Affiliation:
Tennessee State University, Nashville, Tennessee 37209, U.S.A. e-mail address: rajagopalanm@harpo.tnstate.edu
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Abstract

Real-valued function spaces CoL lack almost transitive norms. If there is a complex-valued CoL with almost transitive norm then there is also one with transitive norm. We give fairly restrictive topological conditions for the complex-valued CoL to have transitive norm.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 121 , Issue 1 , January 1997 , pp. 75 - 80
Copyright
© Cambridge Philosophical Society 1997

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