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

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Regular operator equations: conditions for regularity
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by George Karakostas PDF
Proc. Amer. Math. Soc. 86 (1982), 219-225 Request permission

Abstract:

Regular operator equations are causal equations admitting unique solutions and have the property that all of their limiting equations along solutions admit unique solutions. Sufficient conditions which guarantee that an operator equation $x = Tx$ is regular are given in case $T$ is a linear or a nonlinear operator.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 219-225
  • MSC: Primary 47H15; Secondary 47B38
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0667278-X
  • MathSciNet review: 667278