Hermitian Forms and the Fibration of Spheres

DOI10.2307/2044867zbMath0572.55014OpenAlexW4243764073MaRDI QIDQ3689885

Paul A. Binding

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044867

zbMATH Keywords

Hopf fibrationsconvexity of joint rangeHermitian forms over the unit sphere of a normed vector space

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) General binary quadratic forms (11E16)

Related Items (10)

Interpenetration of ellipsoids and the polynomial bound of a matrix ⋮ Joint ranges of Hermitian matrices and simultaneous diagonalization ⋮ The inverse \(q\)-numerical range problem and connections to the Davis-Wielandt shell and the pseudospectra of a matrix ⋮ Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise ⋮ Convexity of the joint numerical range: Topological and differential geometric viewpoints. ⋮ Computational geometry of positive definiteness ⋮ Flat portions on the boundary of the Davis-Wielandt shell of 3-by-3 matrices ⋮ The Toeplitz-Hausdorff theorem and robust stability theory. ⋮ Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars ⋮ Joint numerical range and its generating hypersurface

Cites Work

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• A remark on the convexity and positive definiteness concerning Hermitian matrices
• Subspaces of symmetric matrices containing matrices with a multiple first eigenvalue
• On the Field of Values of a Matrix
• The Toeplitz-Hausdorff Theorem and Ellipticity Conditions
• Singular Points of Complex Hypersurfaces. (AM-61)
• Subspaces of l p,n Spaces

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