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Notes on differential calculus in topological linear spaces, III

Published online by Cambridge University Press:  09 April 2009

S. Yamamuro
S. Yamamuro
Affiliation:
Department of Mathematics Institute of Advanced Studies, Australian National University, Canberra, A.C.T.
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Throughout this note, let E, F and G be locally convex Hausdorff spaces over the real number field R. We denote real numbers by Greek letters. The sets of all continuous semi-norms on E and F will be denoted by P(E) and P(F) respectively, and A will always stand for an open subset of E.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1976 , pp. 88 - 95
Copyright
Copyright © Australian Mathematical Society 1976

References

Hyers, D. H. (1945), ‘Linear topological spaces’, Bull. Amer. Math. Soc. 51, 1–21.Google Scholar
Keller, H. H. (1963–1964), ‘Differenzierbarkeit in topologischen Vektorräumen’, Comm. Math. Helv., 38, 308–320.Google Scholar
Yamamuro, S. (1974), Differential Calculus in Topological Linear Spaces, (Lecture Note in Math., Vol. 374, Springer-Verlag, 1974).CrossRefGoogle Scholar
Yamamuro, S. (to appear), ‘Notes on differential calculus in topological linear spaces’, J. Reine Angew Math.Google Scholar
Yamamuro, S. (1975), ‘Notes on differential calculus in topological linear spaces, II’, J. Austral. Math. Soc. 20 (Series A), 245–252.Google Scholar