Isomorphic Operators and Functional Equations for the Skew‐Circulant Algebra

Zhaolin Jiang, Tingting Xu and Fuliang Lu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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 n × n complex skew‐circulant matrices are displayed in this paper.

Date: 2014
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https://doi.org/10.1155/2014/418194

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:418194

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