Demicontinuity and hemicontinuity in Fréchet space

Junghenn, Hugo D.

doi:10.1090/S0002-9939-1973-0310715-5

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Demicontinuity and hemicontinuity in Fréchet space
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by Hugo D. Junghenn

Proc. Amer. Math. Soc. 38 (1973), 89-91

DOI: https://doi.org/10.1090/S0002-9939-1973-0310715-5

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Abstract:

It is proved that the notions of demicontinuity and hemicontinuity for monotone maps from a Fréchet space into its dual are equivalent, thus generalizing a result of T. Kato.

References

Tosio Kato, Demicontinuity, hemicontinuity and monotonicity. II, Bull. Amer. Math. Soc. 73 (1967), 886–889. MR 238135, DOI 10.1090/S0002-9904-1967-11828-7
Kôsaku Yosida, Functional analysis, Die Grundlehren der mathematischen Wissenschaften, Band 123, Academic Press, Inc., New York; Springer-Verlag, Berlin, 1965. MR 0180824

Bibliographic Information

Journal: Proc. Amer. Math. Soc. 38 (1973), 89-91
DOI: https://doi.org/10.1090/S0002-9939-1973-0310715-5
MathSciNet review: 0310715