Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems

DOI10.1023/A:1009760027676zbMath0891.15023OpenAlexW141863670MaRDI QIDQ1380146

Alexander Markus, Yuri I. Lyubich

Publication date: 1 July 1998

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009760027676

zbMATH Keywords

convexityquadratic formsconnectivitygeneralized numerical rangepre-Hilbert spaceHausdorff-Toeplitz theorem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quadratic and bilinear forms, inner products (15A63)

Related Items (5)

Separation of roots of matrix and operator polynomials ⋮ Preimages of the Numerical Range ⋮ The Toeplitz-Hausdorff theorem and robust stability theory. ⋮ Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars ⋮ Definite triples of Hermitian matrices and matrix polynomials

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