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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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Operator theoretical realization of some geometric notions
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by Qing Lin PDF
Trans. Amer. Math. Soc. 305 (1988), 353-367 Request permission

Abstract:

This paper studies the realization of certain geometric constructions in Cowen-Douglas operator class. Through this realization, some operator theoretical phenomena are easily seen from the corresponding geometric phenomena. In particular, we use this technique to solve the first-order equivalence problem and introduce a new operation among certain operators.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 305 (1988), 353-367
  • MSC: Primary 47A45; Secondary 46M99, 47B35, 58B99
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0920163-8
  • MathSciNet review: 920163