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Dominated operators, absolutely summing operators and the strict topology

open access: yes, 2017
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X;E) be the space of all E-valued bounded continuous functions on X, equipped with the strict topology β. We study dominated and absolutely summing operators T : Cb(X;E) → F.
Nowak, Marian, Stochmal, Juliusz
core  

MR2370688 (2009e:46013) Navarro-Pascual, J. C.; Mena-Jurado, J. F.; Sánchez-Lirola, M. G. A two-dimensional inequality and uniformly continuous retractions. J. Math. Anal. Appl. 339 (2008), no. 1, 719--734. (Reviewer: Diana Caponetti) 46B20 (46E40)

open access: yes, 2009
Let X be an infinite-dimensional uniformly convex Banach space and let BX and SX be its closed unit ball and unit sphere, respectively. The main result of the paper is that the identity mapping on BX can be expressed as the mean of n uniformly ...
CAPONETTI, Diana
core  
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