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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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The existence of a solution of $f(x)=kx$ for a continuous not necessarily linear operator
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by S. Venkateswaran
Proc. Amer. Math. Soc. 36 (1972), 313-314
DOI: https://doi.org/10.1090/S0002-9939-1972-0308885-7
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Abstract:

It is proved that if f is a continuous nonlinear operator on a Banach space E then $f(x) = kx$ has a solution when $|k|$ is sufficiently large.
References
  • Robert A. Bonic, Linear functional analysis, Notes on Mathematics and its Applications, Gordon and Breach Science Publishers, New York-London-Paris, 1969. MR 0257686
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 36 (1972), 313-314
  • MSC: Primary 47H15
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0308885-7
  • MathSciNet review: 0308885