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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Admissibility of Weights on Non-normed $*$-Algebras
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by S. J. Bhatt, A. Inoue and H. Ogi PDF
Trans. Amer. Math. Soc. 351 (1999), 4629-4656 Request permission

Abstract:

The notion of weights on (topological) $*$-algebras is defined and studied. The primary purpose is to define the notions of admissibility and approximate admissibility of weights, and to investigate when a weight is admissible or approximately admissible. The results obtained are applied to vector weights and tracial weight on unbounded operator algebras, as well as to weights on smooth subalgebras of a C$^*$-algebra.
References
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Additional Information
  • S. J. Bhatt
  • Affiliation: Department of Mathematics Sardar Patel University Vallabh Vidyanagar 388120 Gujarat, India
  • A. Inoue
  • Email: sm010888@ssat.fukuoka-u.ac.jp
  • H. Ogi
  • Affiliation: Department of Applied Mathematics, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka, 814-80 Japan
  • Email: sm037255@ssat.fukuoka-u.ac.jp
  • Received by editor(s): February 23, 1997
  • Published electronically: April 12, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 351 (1999), 4629-4656
  • MSC (1991): Primary 46K10, 47D40
  • DOI: https://doi.org/10.1090/S0002-9947-99-02414-9
  • MathSciNet review: 1637133