Slicely countably determined Banach spaces

DOI10.1090/S0002-9947-10-05038-5zbMath1214.46004OpenAlexW2913083086MaRDI QIDQ4930024

Miguel Martín, Javier Merí, Varvara Shepelska, Antonio Avilés López, Vladimir Kadets

Publication date: 27 September 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-10-05038-5

zbMATH Keywords

Daugavet propertyRadon-Nikodym propertynumerical indexnarrow operatorsslicely countably determined Banach spaces\(\pi\)-bases for the weak topology

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Numerical range, numerical radius (47A12) Isometric theory of Banach spaces (46B04) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (10)

Operations with slicely countably determined sets ⋮ Sums of SCD sets and their applications to SCD operators and narrow operators ⋮ Rank-1 numerical index of some families of norms on the plane ⋮ Estimations of the numerical index of a JB*-triple ⋮ The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ \(L\)-orthogonality in Daugavet centers and narrow operators ⋮ Numerical index and Daugavet property of operator ideals and tensor products ⋮ On a second numerical index for Banach spaces ⋮ The diametral strong diameter 2 property of Banach spaces is the same as the Daugavet property

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