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On the spaces of mappings on Banach spaces

Published online by Cambridge University Press:  09 April 2009

Sadayuki Yamamuro
Sadayuki Yamamuro
Affiliation:
Australian National University
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Let E be a real Banach space. A mapping f of E into E is said to be bounded if f maps every bounded set into a bounded set.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 2 , May 1967 , pp. 160 - 164
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Blackett, D. W., “Simple and semi-simple near-rings”, Proc. Amer. Math. Soc. 4 (1953), 772–785.CrossRefGoogle Scholar
[2]Calkin, J. W., “Two-sided ideals and congruences in the ring of bounded linear operators in Hilbert space”, Ann. of Math. 42 (1941), 839–873.CrossRefGoogle Scholar
[3]Leray, J. and Schauder, J., “Topologie et équations fonctionnelles”, Ann. Sci. Ecole Norm. Sup. 51 (1934), 45–78.CrossRefGoogle Scholar
[4]Zassenhaus, H., Lehrbuch der Gruppentheorie (Berlin, 1937).Google Scholar