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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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Root vectors for geometrically simple two-parameter eigenvalues
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by Paul Binding and Tomaž Košir PDF
Trans. Amer. Math. Soc. 356 (2004), 1705-1726 Request permission

Abstract:

A class of two-parameter eigenvalue problems involving generally nonselfadjoint and unbounded operators is studied. A basis for the root subspace at a geometrically simple eigenvalue of Fredholm type is computed in terms of the underlying two-parameter system. Comparison with Faierman’s work on two-parameter boundary value problems of Sturm-Liouville type is given as an application.
References
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Additional Information
  • Paul Binding
  • Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
  • Email: binding@ucalgary.ca
  • Tomaž Košir
  • Affiliation: Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia
  • Email: tomaz.kosir@fmf.uni-lj.si
  • Received by editor(s): June 15, 2001
  • Published electronically: January 6, 2004
  • Additional Notes: The first author’s research was supported by NSERC of Canada
    The second author’s research was supported by the Ministry of Science and Technology of Slovenia
  • © Copyright 2004 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 1705-1726
  • MSC (2000): Primary 35P10, 47A13; Secondary 35J55
  • DOI: https://doi.org/10.1090/S0002-9947-04-03542-1
  • MathSciNet review: 2031038