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On the Complete Continuity of Differentiable Mappings

Published online by Cambridge University Press:  09 April 2009

K. J. Palmer
K. J. Palmer
Affiliation:
Australian National University
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Let E1 and E2 be real Banach spaces. We denote by E12 the Banach space of all bounded linear operators mapping E1 into E2 with the usual operator norm. By Dr we denote the open ball of radius r, centred at the origin.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 9 , Issue 3-4 , May 1969 , pp. 441 - 444
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Schwartz, J. T. Non-linear Functional Analysis (Lecture notes, The Courant Institute of Math. Sciences, 1963–64).Google Scholar
[2]Vainberg, M. M.Variational Methods for the Study of Non-linear Operator (translated by A. Feinstein, Holden-Day, 1964.Google Scholar
[3]Yamamuro, S. ‘A note on d-ideals inb some near-algebras’ J. Aust. Math. Soc. 7 (1967), 129–134.CrossRefGoogle Scholar