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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 general view of reflexivity
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by Don Hadwin PDF
Trans. Amer. Math. Soc. 344 (1994), 325-360 Request permission

Abstract:

Various concepts of reflexivity for an algebra or linear space of operators have been studied by operator theorists and algebraists. This paper contains a very general version of reflexivity based on dual pairs of vector spaces over a Hausdorff field. The special cases include topological, algebraic and approximate reflexivity. In addition general versions of hyperreflexivity and direct integrals are introduced. We prove general versions of many known (and some new) theorems, often with simpler proofs.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 344 (1994), 325-360
  • MSC: Primary 47D25; Secondary 46B28, 46L05, 46M20, 47A99, 47D15
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1239639-4
  • MathSciNet review: 1239639