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A characterization of relatively compact sets in $L^p(\Omega,B)$: Dedicated to Professor Gheorghe Coman on the occasion of his 80th anniversary

, 2016
We give a characterization of relatively compact sets $F$ in $L^p(\Omega,B)$ for $p\in [1,\infty)$, $B$ a Banach-space, and $\Omega \subset \R^n$. This is a generalization of the results obtained in \cite{Simon} for the space $L^p((0,T),B)$ with $T>0$,
NEUSS-RADU, Maria, GAHN, Markus
core

Dominated operators, absolutely summing operators and the strict topology

, 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)

, 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

Compilation of DNA sequences of Escherichia coli (update 1993). [PDF]