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Characterizations of collectively precompact and semi-precompact opterators on topological vector spaces

Published online by Cambridge University Press:  09 April 2009

M. V. Deshpande  and
S. M. Padhye
M. V. Deshpande
Affiliation:
Department of Mathematics Indian Institute of Tecnology PowaiBombay 400 076, India
S. M. Padhye
Affiliation:
Department of Mathematics Indian Institute of Tecnology PowaiBombay 400 076, India
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Abstract

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Characterizations of collectively precompact and collectively semi-precompact sets of operators on topological vector spaces are obtained. These lead to the characterization of totally bounded sets of semi-precompact operators on locally convex spaces.

1980 Mathematics subject classification (Amer. Math. Soc): primary 47 B 05, 47 D 15; secondary 46 A 05, 46 A 15.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 2 , September 1979 , pp. 179 - 188
Copyright
Copyright © Australian Mathematical Society 1979

References

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