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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A characterization of best $\Phi$-approximants
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by D. Landers and L. Rogge PDF
Trans. Amer. Math. Soc. 267 (1981), 259-264 Request permission

Abstract:

Let $T$ be an operator from an Orlicz space ${L_\Phi }$ into itself. It is shown in this paper that four algebraic conditions and one integration condition assure that $T$ is the best $\Phi$-approximator, given a suitable $\sigma$-lattice.
References
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 267 (1981), 259-264
  • MSC: Primary 46E30; Secondary 41A50
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0621986-9
  • MathSciNet review: 621986