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5 papers · 2 filters
The class of Banach lattices is not primary
Antonio Acuaviva
Building on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for -spaces, and the subsequent work of De Hevia, Martínez-…
Quantifying (non-)weak compactness of operators on - and -spaces
Antonio Acuaviva, Amir Bahman Nasseri
We study the representation of non-weakly compact operators between -spaces. In this setting, we show that every operator admits a best approximant in the ideal of weakly compa…
On amenability constants of Fourier algebras: new bounds and new examples
Yemon Choi, Mahya Ghandehari
Let be a locally compact group. If is finite then the amenability constant of its Fourier algebra, denoted by , admits an explicit formula [Johnson, J…
Operators on injective tensor products of separable Banach spaces and spaces with few operators
Antonio Acuaviva
We give a characterization of the operators on the injective tensor product for any separable Banach space and any (non-separable) Banach space…
Complemented subspaces of a -space constructed by Candido
Antonio Acuaviva
We classify the complemented subspaces of , where is an exotic locally compact Hausdorff space recently constructed by Candido under Ostaszewski's -…