Minimal numerical-radius extensions of operators

DOI10.1090/S0002-9939-06-08609-6zbMath1109.41013OpenAlexW2091618624MaRDI QIDQ3420082

Asuman Güven Aksoy, Bruce L. Chalmers

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08609-6

zbMATH Keywords

Rademacher functionsnumerical radiusminimal projectionsdiagonal extremal pairs

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (6)

Characterization conditions and the numerical index ⋮ On the $L_p$ norm of the Rademacher projection and related inequalities ⋮ Subspaces of codimension two with large projection constants ⋮ Minimal Projections with Respect to Numerical Radius ⋮ Best Approximation in Numerical Radius ⋮ Limit theorems for the numerical index

Cites Work

• Numerical range and accretivity of operator products
• Symmetric spaces with maximal projection constants
• The extension of linear functionals
• Determination of a minimal projection fromC[-1, 1 onto the quadratics]
• On a theorem by A. E. Taylor
• The numerical index of the 𝐿_{𝑝} space
• The Determination of Minimal Projections and Extensions in L 1
• On the existence and characterization of minimal projections.
• A two-dimensional Hahn-Banach theorem
• Spaces with maximal projection constants
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