COMPLEMENTED COPIES OF ℓ2 IN SPACES OF INTEGRAL OPERATORS
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولCOMPLEMENTED COPIES OF l1 IN SPACES OF VECTOR MEASURES AND APPLICATIONS
Let X be a Banach space and (Ω,Σ) be a measure space. We provide a characterization of sequences in the space of X-valued countably additive measures on (Ω,Σ) of bounded variation that generates complemented copies of l1. As application, we prove that if a dual Banach space E∗ has Pe lczyński’s property (V*) then so does the space of E∗-valued countably additive measures with the variation norm...
متن کاملCOMPLEMENTED COPIES OF l AND PELCZYNSKI’S PROPERTY (V) IN BOCHNER FUNCTION SPACES
Let X be a Banach space and (fn)n be a bounded sequence in L (X). We prove a complemented version of the celebrated Talagrand’s dichotomy i.e we show that if (en)n denotes the unit vector basis of c0, there exists a sequence gn ∈ conv(fn, fn+1, . . . ) such that for almost every ω, either the sequence (gn(ω)⊗en) is weakly Cauchy in X⊗̂πc0 or it is equivalent to the unit vector basis of l. We the...
متن کاملeffect of oral presentation on development of l2 learners grammar
this experimental study has been conducted to test the effect of oral presentation on the development of l2 learners grammar. but this oral presentation is not merely a deductive instruction of grammatical points, in this presentation two hypotheses of krashen (input and low filter hypotheses), stevicks viewpoints on grammar explanation and correction and widdowsons opinion on limited use of l1...
15 صفحه اولOperators on C[0,1] Preserving Copies of Asymptotic ℓ1 Spaces
Given separable Banach spaces X, Y , Z and a bounded linear operator T : X → Y , then T is said to preserve a copy of Z provided that there exists a closed linear subspace E of X isomorphic to Z and such that the restriction of T to E is an into isomorphism. It is proved that every operator on C([0, 1]) which preserves a copy of an asymptotic ℓ1 space also preserves a copy of C([0, 1]).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2005
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089505002491