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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the existence of strongly series summable Markuschevich bases in Banach spaces
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by William B. Johnson PDF
Trans. Amer. Math. Soc. 157 (1971), 481-486 Request permission

Abstract:

The main result is: Let $X$ be a complex separable Banach space. If the identity operator on ${X^ \ast }$ is the limit in the strong operator topology of a uniformly bounded net of linear operators of finite rank, then $X$ admits a strongly series summable Markuschevich basis.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 157 (1971), 481-486
  • MSC: Primary 46.10
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0282201-5
  • MathSciNet review: 0282201