Two-dimensional Banach spaces with polynomial numerical index zero

DOI10.1016/j.laa.2008.12.020zbMath1213.46015arXiv0902.3234OpenAlexW2017448148MaRDI QIDQ1014509

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

Publication date: 29 April 2009

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

Full work available at URL: https://arxiv.org/abs/0902.3234

zbMATH Keywords

numerical rangeBanach spacepolynomialpolynomial numerical index

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) (Spaces of) multilinear mappings, polynomials (46G25) Isometric theory of Banach spaces (46B04)

Related Items

Three kinds of numerical indices of \(l_p\)-spaces, Polynomial numerical indices of Banach spaces with absolute norm, Polynomial numerical indices of Banach spaces with 1-unconditional bases, Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇), Generalized numerical index and denseness of numerical peak holomorphic functions on a Banach space

Cites Work

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• On the polynomial numerical index of the real spaces \(c_{0}, \ell _{1}\) and \(\ell _{\infty }\)
• The numerical range of a continuous mapping of a normed space
• The numerical index of the 𝐿_{𝑝} space
• Banach spaces with polynomial numerical index 1
• Composition, numerical range and Aron-Berner extension
• POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES
• THE POLYNOMIAL NUMERICAL INDEX OF A BANACH SPACE
• The Numerical Index of a Normed Space
• The Numerical Range of Holomorphic Functions in Banach Spaces
• Finite-dimensional Banach spaces with numerical index zero
• Convex analysis and global optimization