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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.

 

Linear spaces with an $H^{\ast }$-algebra-valued inner product
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by Parfeny P. Saworotnow PDF
Trans. Amer. Math. Soc. 262 (1980), 543-549 Request permission

Erratum: Trans. Amer. Math. Soc. 270 (1982), 349.

Abstract:

The paper deals with a particular class of VH-spaces of Loynes [5] whose inner product assumes its values in a trace-algebra associated with an $H^{\ast }$-algebra. It is shown that these spaces admit a structure of a “nonassociative module", and this structure could be used to characterize such spaces. Also we characterize other related spaces.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 262 (1980), 543-549
  • MSC: Primary 46K99; Secondary 46G10, 46H99
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0586734-9
  • MathSciNet review: 586734