On the numerical index with respect to an operator

DOI10.4064/DM805-9-2019zbMath1459.46013arXiv1905.12257OpenAlexW2998259820WikidataQ126413254 ScholiaQ126413254MaRDI QIDQ5220131

Javier Merí, Alicia Quero, Miguel Martín, Antonio Pérez-Hernández, Vladimir Kadets

Publication date: 10 March 2020

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12257

zbMATH Keywords

numerical indexnumerical index with respect to an operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Numerical range, numerical radius (47A12) General theory of (C^*)-algebras (46L05) Isometric theory of Banach spaces (46B04)

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Estimations of the numerical index of a JB*-triple ⋮ Vector-valued numerical radius and \(\sigma\)-porosity ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ Numerical radius and a notion of smoothness in the space of bounded linear operators ⋮ Numerical index and Daugavet property of operator ideals and tensor products ⋮ On the compact operators case of the Bishop-Phelps-Bollobás property for numerical radius

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