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NEARLY VARIANTS OFPROPERTIES AND ULTRAPOWERS

Published online by Cambridge University Press:  01 May 2000

FÉLIX CABELLO SÁNCHEZ
FÉLIX CABELLO SÁNCHEZ
Affiliation:
Departamento de Matemáticas, Universidad de Extremadura, Avenida de Elvas, 06071-Badajoz, España. E-mail: fcabello@unex.es
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Abstract

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We show that if S is the maximal ideal space of certain ultrapowers of C_0(L) spaces then: C_0(S, [Copf ]) allows polar decompositions while C_0(S, ℝ) does not, which answers a question of Greim and Rajalopagan [4]. Also, S is almost homogeneous but not transitive, which answers a question of Wood [9].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 2 , May 2000 , pp. 275 - 281
Copyright
2000 Glasgow Mathematical Journal Trust