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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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A characterization of $1-1$ matrices
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by L. W. Baric PDF
Proc. Amer. Math. Soc. 42 (1974), 517-522 Request permission

Abstract:

Another proof is given of a known characterization of infinite matrices that preserve absolutely summable sequences where the entries of the matrices are continuous linear functions from a Fréchet space into a Fréchet space. In addition, another characterization is obtained using the adjoint matrix.
References
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 517-522
  • MSC: Primary 40J05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0342902-5
  • MathSciNet review: 0342902