WebNote that every p-compact set is relatively compact and every weakly p-compact set (1 < p ≤∞) is relatively weakly compact. A linear map T : Y →X is p-compact (respectively, weakly p-compact) if T(BY) is a p-compact (respectively, weakly p-compact) subset of X. The collection of all p-compact (respectively, weakly p-compact) operators ... http://www.individual.utoronto.ca/jordanbell/notes/dunford-pettis.pdf
Weak M weakly compact and weak L weakly compact operators
WebNote that every L-weakly compact set is relatively weakly compact [5, Proposition3:6:5], but a relatively weakly compact set is not necessary L- weakly compact. A clas-sical result of P. Meyer-Nieberg says that, every relatively weakly compact subset of E is L-weakly compact if and only if E has the positive Schur property [5, Corollary3:6:8]. WebMay 18, 2009 · The problem of characterizing the relatively weakly compact subsets of L1 (Ω, X) remains open. It is known that for a bounded subset of L1 (μ, X) to be relatively weakly compact it is necessary that the set be uniformly integrable; recall that K ⊆ L1, (μ, X) is uniformly integrable whenever given ε >0 there exists δ > 0 such that if μ ... crochet ballerina baby slippers
Spectral Properties Involving Generalized Weakly Demicompact …
WebPerson as author : Pontier, L. In : Methodology of plant eco-physiology: proceedings of the Montpellier Symposium, p. 77-82, illus. Language : French Year of publication : 1965. book part. METHODOLOGY OF PLANT ECO-PHYSIOLOGY Proceedings of the Montpellier Symposium Edited by F. E. ECKARDT MÉTHODOLOGIE DE L'ÉCO- PHYSIOLOGIE … Web4. The key is the following result: If X is a normed space, and { x n } ⊂ X a sequence which converges weakly to X, then sup n ∈ N ‖ x n ‖ < ∞. It's a consequence of Baire's categories … WebIn English-French bilinguals, all these areas were equally activated for both languages. In English-Chinese bilinguals, however, some areas were only stimulated by the recognition of Chinese logograms. Finally, in all participants, pseudowords or badly drawn characters activated these tiny cortical zones more weakly than real, familiar words. buffalo weather underground