Algebras of operators isomorphic to the circulant algebra
HTML articles powered by AMS MathViewer
- by Alan C. Wilde PDF
- Proc. Amer. Math. Soc. 105 (1989), 808-816 Request permission
Abstract:
The algebra of $n \times n$ circulant matrices has a specific structure. This paper displays different operators on linear vector spaces that have the same structure, i.e. are isomorphic.References
- Philip J. Davis, Circulant matrices, A Wiley-Interscience Publication, John Wiley & Sons, New York-Chichester-Brisbane, 1979. MR 543191 Alan C. Wilde, Solutions of equations containing primitive roots of unity, J. Undergraduate Math., 3 (1971), 25-28.
- Thomas Muir, A treatise on the theory of determinants, Dover Publications, Inc., New York, 1960. Revised and enlarged by William H. Metzler. MR 0114826 Kenneth R. Leisenring, The bicomplex plane (U-M manuscript, submitted for publication).
- Alan C. Wilde, Cauchy-Riemann conditions for algebras isomorphic to the circulant algebra, J. Univ. Kuwait Sci. 14 (1987), no. 2, 189–204 (English, with Arabic summary). MR 919915
- Alan C. Wilde, Differential equations involving circulant matrices, Rocky Mountain J. Math. 13 (1983), no. 1, 1–13. MR 692571, DOI 10.1216/RMJ-1983-13-1-1
- Alan C. Wilde, Commutative projection operators, Atti Sem. Mat. Fis. Univ. Modena 35 (1987), no. 1, 167–172. MR 922999
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 808-816
- MSC: Primary 15A30; Secondary 15A57, 39B40, 47D99
- DOI: https://doi.org/10.1090/S0002-9939-1989-0937854-1
- MathSciNet review: 937854