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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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The de Branges-Rovnyak model with finite-dimensional coefficients
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by James Guyker PDF
Trans. Amer. Math. Soc. 347 (1995), 1383-1389 Request permission

Abstract:

A characterization in terms of the canonical model spaces of L. de Branges and J. Rovnyak is obtained for Hilbert spaces of formal power series with vector coefficients which satisfy a difference-quotient inequality, thereby extending the closed ideal theorems of A. Beurling and P. D. Lax.
References
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 1383-1389
  • MSC: Primary 46E22; Secondary 47A45
  • DOI: https://doi.org/10.1090/S0002-9947-1995-1257108-3
  • MathSciNet review: 1257108