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Nearly Open, According to a Subset, Linear Maps Which are Open

Published online by Cambridge University Press:  20 November 2018

J. Ch. Pomerol
J. Ch. Pomerol*
Affiliation:
Laboratoire d'Econométrie de l'UniversitéP. et M. Curie 4 Place Jussieu, 75230 Paris Cedex 5, France
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Abstract

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For a linear map we introduce two notions of being open according to a subset. With these two definitions, we characterize the linear, nearly open mappings which are open. Thus we generalize a famous theorem of V. Pták.

Keywords

46A30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 1 , 01 March 1984 , pp. 96 - 101
Copyright
Copyright © Canadian Mathematical Society 1984

References

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