NUMERICAL INDEX AND THE DAUGAVET PROPERTY FOR $L_\infty(\mu,X)$

DOI10.1017/S0013091502000524zbMath1050.46009OpenAlexW2102236688MaRDI QIDQ4470258

Miguel Martín, Armando R. Villena

Publication date: 22 June 2004

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

Full work available at URL: http://journals.cambridge.org/bin/bladerunner?REQUNIQ=1087480707&REQSESS=3723236&118000REQEVENT=&REQINT1=163429&REQAUTH=0

zbMATH Keywords

Daugavet propertynumerical indexnumerical radius.

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Linear operators defined by compactness properties (47B07) Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04)

Related Items (13)

Characterization conditions and the numerical index ⋮ Spaces of operators, the \(\psi\)-Daugavet property, and numerical indices ⋮ An alternative Daugavet property ⋮ Numerical index of absolute sums of Banach spaces ⋮ Estimations of the numerical index of a JB*-triple ⋮ The Daugavet Equation: Linear and Nonlinear Recent Results ⋮ On the numerical index of polyhedral Banach spaces ⋮ Some geometric properties of disk algebras ⋮ On the numerical radius of Lipschitz operators in Banach spaces ⋮ Numerical index of Banach spaces of weakly or weakly-star continuous functions ⋮ On a second numerical index for Banach spaces ⋮ Numerical index of some polyhedral norms on the plane ⋮ Numerical index of vector-valued function spaces

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