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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Constructive existence of Minkowski functionals
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by Hajime Ishihara PDF
Proc. Amer. Math. Soc. 116 (1992), 79-84 Request permission

Abstract:

In Bishop’s constructive mathematics, the framework of this paper, there are many situations where we cannot easily prove the existence of functionals whose existence is a trivial consequence of classical logic. One such functional is the Minkowski functional of a convex absorbing set. We shall prove the existence of Minkowski functionals in various spaces, and apply the theorems to establish the locatedness of the kernel of linear mappings.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 79-84
  • MSC: Primary 46S30; Secondary 03F65
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1089409-9
  • MathSciNet review: 1089409