Weakly precompact setL-setWeakly precompact operatorPositive operatorBanach latticeWe show that the solid hull of every weakly precompact set of a Banach lattice E is weakly precompact if and only if every order interval in E is weakly precompact, or equivalently, if and only if every disjoint ...
The property of weak sequential stability plays a crucial role in the analysis of any nonlinear problem. It states that the solution set of a given problem is (weakly) precompact with respect to the topologies induced by the available a priori estimates. In our context, this property can be ...
(A) : A is a bounded and nonprecompact subset of X}, where α and β are, respectively the set and the ball measure of noncompactness, and some... JM Ayerbe,TD Benavides - 《Journal of Mathematical Analysis & Applications》 被引量: 33发表: 1993年 ...
140] that for [Math Processing Error]k=0 the [Math Processing Error]C0-weak-strong principle holds if [Math Processing Error]Ω⊂Rd is open (or more general a [Math Processing Error]kR-space), [Math Processing Error]G=E′ and E is such that every bounded set is already precompact ...
weakly precompact setweak limited operatorDunford-Pettis operatorBanach latticeorder continuous normIn this paper, we prove that an operator T : E -> F , between two Banach lattices, maps order intervals onto weak limited sets if and only if the modulus |ST| exists and is Dunford-Pettis for...
Weight of precompact subsets and tightness - and (LM)-spaces, countable tightness of the weak topology of E in G is equivalent to realcompactness of the weak∗ topology of the dual of E... B Cascales,J Ka̧Kol,SA Saxon - 《Journal of Mathematical Analysis & Applications》...
We characterize the precompact sets in spaces of vector valued continuous functions and use the resulting criteria to investigate asymptotic behaviour of such functions defined on a halfline. This problem arose in the context of a qualit... WM Ruess,WH Summers - 《Mathematische Nachrichten》 被引...
Farwig, R., Nakatsuka, T., Taniuchi, Y.: Existence of solutions on the whole time axis to the Navier–Stokes equations with precompact range in . Arch. Math. (Basel) 104, 539–550 (2015) Article MathSciNet Google Scholar Farwig, R., Nakatsuka, T., Taniuchi, Y.: Uniqueness of ...
We present in this note an extension and an elementary proof of a characterization of $ sigma(E^*, E) $ -sequentially precompact subsets of E *, where E is a $ sigma $ -Dedekind complete M-space with a unit.doi:10.1007/s00013-002-8239-8P. Meyer-Nieberg...
We prove that the sequence of solutions to the regularized problems is precompact, and, using uniform local ellipticity, covering and diagonalization techniques, we obtain a local solution to the original problem.doi:10.1142/S0219891608001532JEGDI...