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Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra

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  • Zhaolin Jiang
  • Tingting Xu
  • Fuliang Lu

Abstract

The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the skew-circulant algebra is introduced. And different operators on linear vector space that are isomorphic to the algebra of complex skew-circulant matrices are displayed in this paper.

Suggested Citation

  • Zhaolin Jiang & Tingting Xu & Fuliang Lu, 2014. "Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:418194
    DOI: 10.1155/2014/418194
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