Decomposition of a scalar operator into a product of unitary operators with two points in spectrum
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Publication:989052
DOI10.1016/j.laa.2010.04.039zbMath1198.15008OpenAlexW2044780573MaRDI QIDQ989052
Slavik Rabanovich, Sergio A. Albeverio
Publication date: 27 August 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2010.04.039
Factorization of matrices (15A23) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (2)
Representations of algebras defined by a multiplicative relation and corresponding to the extended Dynkin graphs \(\tilde D_4\), \(\tilde E_6\), \(\tilde E_7\), and \(\tilde E_8\) ⋮ Scalar operators equal to the product of unitary roots of the identity operator
Cites Work
- The operator factorization problems
- Decomposition of matrices into simple involutions
- Eigenvalues of products of unitary matrices and quantum Schubert calculus
- Products of symmetries
- Perturbation of eigenvalues in U(n) by pseudo-reflections
- Products of Reflections in the Unitary Group
- Eigenvalues, invariant factors, highest weights, and Schubert calculus
- Products of Hermitian Matrices and Symmetries
- The $C^*$-algebra generated by two projections.
- On sums of projections
- On sums of projections
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