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Some equalities in a unitary space leading to equalities concerning singular values of sets of matrices

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Publication:769873
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DOI10.1007/BF01342955zbMath0082.24406MaRDI QIDQ769873

Ali R. Amir-Moéz

Publication date: 1958

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/160629


zbMATH Keywords

traceSchwarz inequality


Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)


Related Items (3)

Properties of certain sets in unitary spaces ⋮ Adjoint geometry of linear transformations ⋮ Generalized Frobenius inner products



Cites Work

  • Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
  • Singular Values of a Matrix
  • Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation
  • On the Eigenvalues of a Matrix with Prescribed Singular Values
  • Some Metric Inequalities in the Space of Matrices


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