Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇)

DOI10.1090/S0002-9939-2013-11850-2zbMath1327.46014OpenAlexW2117694826MaRDI QIDQ5401363

Manuel Maestre, Javier Merí, Domingo García, Miguel Martín, Bogdan C. Grecu

Publication date: 13 March 2014

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11850-2

zbMATH Keywords

numerical rangepolynomial numerical indexhomogeneous continuous polynomials

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Numerical range, numerical radius (47A12) (Spaces of) multilinear mappings, polynomials (46G25) Isometric theory of Banach spaces (46B04)

Related Items (3)

Characterization conditions and the numerical index ⋮ Polarization constant for the numerical radius ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results

Cites Work

• Polynomial numerical indices of Banach spaces with 1-unconditional bases
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• Lushness, numerical index one and duality
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• Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices
• Polynomial numerical indices of Banach spaces with absolute norm
• Numerical index of Banach spaces and duality
• Banach spaces with polynomial numerical index 1
• POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES
• Norm or Numerical Radius Attaining Multilinear Mappings and Polynomials
• THE POLYNOMIAL NUMERICAL INDEX OF A BANACH SPACE
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