On a minimax equality for seminorms

DOI10.1016/0024-3795(93)00258-2zbMath0829.46005OpenAlexW2028314428WikidataQ127641259 ScholiaQ127641259MaRDI QIDQ1893118

Robert Plato, Rolf Dieter Grigorieff

Publication date: 21 January 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00258-2

zbMATH Keywords

minimax equalitygeometry of the joint numerical range of two real-valued quadratic formspositive semidefinite Hermitian forms

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Isomorphic theory (including renorming) of Banach spaces (46B03) Numerical range, numerical radius (47A12)

Related Items (5)

On Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space ⋮ On optimal regularization methods for the backward heat equation ⋮ The numerical range of non-negative operators in Krein spaces ⋮ Remarks on numerical ranges of operators in spaces with an indefinite metric ⋮ Optimality for ill-posed problems under general source conditions

Cites Work

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• On the numerical range of a bounded operator
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• On the Field of Values of a Matrix
• The Field of Values of a Complex Matrix, an Explicit Description in the $2 \times 2$ Case
• The Toeplitz-Hausdorff Theorem and Ellipticity Conditions
• Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data

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