Self-adjoint operators and pairs of Hermitian forms over the quaternions
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Publication:1964332
DOI10.1016/S0024-3795(99)00165-2zbMath0951.15015MaRDI QIDQ1964332
Publication date: 2 January 2001
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)
Related Items (13)
On the norms of quaternionic extensions of real and complex linear mappings ⋮ CLIFFORD MODULES AND SYMMETRIES OF TOPOLOGICAL INSULATORS ⋮ Classification of linear mappings between indefinite inner product spaces ⋮ $m$th roots of $H$-selfadjoint matrices over the quaternions ⋮ Canonical forms for mixed symmetric-skewsymmetric quaternion matrix pencils ⋮ Polar decompositions of quaternion matrices in indefinite inner product spaces ⋮ Pairs of Hermitian and skew-Hermitian quaternionic matrices: canonical forms and their applications ⋮ Canonical matrices of isometric operators on indefinite inner product spaces ⋮ Canonical matrices of bilinear and sesquilinear forms ⋮ Norms of quaternionic extensions of real operators. ⋮ Basic classes of matrices with respect to quaternionic indefinite inner product spaces ⋮ Pairs of selfadjoint operators and their invariants ⋮ Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra
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