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Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices

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  • Xiaoyu Jiang
  • Kicheon Hong

Abstract

Circulant, block circulant‐type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed. By utilizing the special structure of such matrices, several norm equalities and inequalities are presented. The norm τ in consideration is the weakly unitarily invariant norm, which satisfies τA=τ(UAV). The usual operator norm and Schatten p‐norm are included. Furthermore, some special cases and examples are given.

Suggested Citation

  • Xiaoyu Jiang & Kicheon Hong, 2015. "Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:521214
    DOI: 10.1155/2015/521214
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    References listed on IDEAS

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    1. Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, June.
    3. Zhaolin Jiang & Tingting Xu & Fuliang Lu, 2014. "Isomorphic Operators and Functional Equations for the Skew‐Circulant Algebra," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. 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.
    5. Zhaolin Jiang, 2014. "On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Zhaolin Jiang, 2014. "On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
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