Polynomial numerical indices of Banach spaces with absolute norm
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Publication:2431199
DOI10.1016/j.laa.2011.01.037zbMath1219.46016OpenAlexW1989200630WikidataQ57618277 ScholiaQ57618277MaRDI QIDQ2431199
Miguel Martín, Han Ju Lee, Javier Merí
Publication date: 11 April 2011
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2011.01.037
Banach lattices (46B42) Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04) Denjoy and Perron integrals, other special integrals (26A39)
Related Items (8)
Stability results of properties related to the Bishop-Phelps-Bollobás property for operators ⋮ Characterization conditions and the numerical index ⋮ Uniform convexity of general direct sums and interpolation spaces ⋮ The Köthe dual of an abstract Banach lattice ⋮ Absolute sums of Banach spaces and some geometric properties related to rotundity and smoothness ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ Polynomial numerical indices of Banach spaces with 1-unconditional bases ⋮ Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇)
Cites Work
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- Two-dimensional Banach spaces with polynomial numerical index zero
- Numerical ranges of uniformly continuous functions on the unit sphere of a Banach space
- On the polynomial numerical index of the real spaces \(c_{0}, \ell _{1}\) and \(\ell _{\infty }\)
- Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices
- Banach spaces with polynomial numerical index 1
- POLYNOMIAL NUMERICAL INDEX FOR SOME COMPLEX VECTOR-VALUED FUNCTION SPACES
- Certain Banach Spaces Associated with Graphs and CL-Spaces with 1-Unconditional Bases
- THE POLYNOMIAL NUMERICAL INDEX OF A BANACH SPACE
- The Numerical Index of a Normed Space
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