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A Family of Maximal Algebras of Block Toeplitz Matrices Cover

References

  1. [1] A. Bottcher and B. Silbermann, Analysis of Toeplitz operators, Springer-Verlag, 1990.10.1007/978-3-662-02652-6
  2. [2] W.C. Brown, F.W. Call, Maximal commutative subalgebras of n × n matrices, Communications in Algebra 22 (1994), 4439-4460.10.1080/00927879308824808
  3. [3] W.C. Brown, Two constructions of maximal commutative subalgebras of n × n matrices, Communications in Algebra 22 (1994), 4051-4066.10.1080/00927879408825065
  4. [4] W.C. Brown, Constructing maximal commutative subalgebras of matrix rings in small dimensions, Communications in Algebra 25 (1997), 3923-3946.10.1080/00927879708826096
  5. [5] P.J. Davis, Circulant Matrices, Wiley, New York, 1979.
  6. [6] I. Gohberg, S. Goldberg and M.A. Kaashoek, Classes of Linear Operators, Vol. 2, Birkhauser Verlag Basel, 1993.10.1007/978-3-0348-8558-4
  7. [7] U. Grenander and G. Szego, Toeplitz Forms and Their Applications. University of Calif. Press, Berkeley and Los Angeles, 1958.10.1525/9780520355408
  8. [8] I. S. Iohvidov, Hankel and Toeplitz Matrices and Forms, Birkhuser Boston, Cambridge, MA, 1982.
  9. [9] C. Gu, L. Patton, Commutation relation for Toeplitz and Hankel matrices, SIAM J. Matrix Anal. Appl. 24 (2003), 728–746.10.1137/S0895479800377320
  10. [10] T. Shalom, On Algebras of Toeplitz matrices, Linear Algebra and its applications 96 (1987), 211-226.10.1016/0024-3795(87)90345-4
  11. [11] H. Widom, Toeplitz Matrices, in Studies in Real and Complex Analysis, (J. I.I. Hirschmann, ed.), MAA Studies in Mathematics, Prentice-Hall, Englewood Cliffs, NJ, 1965.
DOI: https://doi.org/10.2478/auom-2018-0037 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 127 - 142
Submitted on: Dec 20, 2017
Accepted on: Jan 31, 2018
Published on: Dec 31, 2018
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2018 Muhammad Ahsan Khan, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.