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An open mapping theorem on homogeneous spaces

Part of: Topological linear spaces and related structures Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  09 April 2009

Shozo Koshi  and
Masamichi Takesaki
Shozo Koshi
Affiliation:
Department of MathematicsHokkaido University Sapporo, 060, Japan
Masamichi Takesaki
Affiliation:
Department of MathematicsUniversity of California405 Hilgard Avenue Los Angeles, California 90023, USA
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Abstract

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We shall prove an open mapping theorem concerning a Polish group acting transitively on a complete metric space.

MSC classification

Secondary: 46A30: Open mapping and closed graph theorems; completeness (including $B$-, $B_r$-completeness) 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 1 , August 1992 , pp. 51 - 54
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Banach, S., Théorie des opérations linéares (Monografje Matematyczne, Vasovie-Lwow, 1932).Google Scholar
[2]Takesaki, M., Theory of operator algebra (in preparation).Google Scholar