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The adjoints of differentiable mappings

Published online by Cambridge University Press:  09 April 2009

S. Yamamuro
S. Yamamuro
Affiliation:
Australian National University Canberra
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The notion of symmetric (non-linear) mappings has been introduced by Vainberg [3, p. 56]. However, symmetric mappings of this type have not played any important rôle in non-linear functional analysis. Naturally, as in the case of linear mappings, the symmetric mappings should be defined in such a way that they are easy to handle and belong to the most elementary class of non-linear mappings.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 3 , August 1968 , pp. 397 - 409
Copyright
Copyright © Australian Mathematical Society 1968

References

[1]Krasnoseliski, M. A., Topological methods in the theory of non-linear integral equations (translated by Armstrong, A. H., Pergamon Press, 1964).Google Scholar
[2]Leray, J. and Schauder, J., ‘Topologie et équations fonctionnelles’, Ann. Sci. Ecole Norm. Sup. 51 (1934), 45–78.CrossRefGoogle Scholar
[3]Vainberg, M. M., Variational methods for the study of non-linear operators (translated by Feinstein, A., Holden-Day, 1964).Google Scholar