Isomorphic Classification Sequences of Spaces
Journal Title: International Journal of Research and Review - Year 2017, Vol 4, Issue 12
Abstract
In this paper we study the isomorphic classifications sequences of C(U_n,X)spaces, the Banach spaces of all continuous X-valued functions defined on infinite compact sequences of metric spacesU_n, equipped with the supremum norm. We first introduce the concept of α+ε -quotient of Banach spaces X. Thus, we prove that if X has some α+ε -quotient which is uniformly convex, then for all U_(n+1)and U_(n+2) the following statements are equivalent: (a) C(U_(n+1),X)is isomorphic to C(U_(n+2),X). (b) C(U_(n+1))is isomorphic to C(U_(n+2)). This allows us to classify, up to an isomorphism, some C(U_n,Y⊕l_p (Γ))spaces, 1 < p ≤∞, and certain C(S_n ) spaces involving large compact Hausdorff sequence spaces S_n.
Authors and Affiliations
Ahmed Yahya M. H
Prospective Observational Study of Management of Supracondylar Fracture Humerus by Various Closed Pinning Methods
Introduction: Supracondylar fracture of humerus is the most common elbow injury in children and makes up to 60% of all elbow injuries. Great diligence is required to secure an excellent result and to avoid or minimize th...
Histological Study on the Protective Effect of Atomoxetine against Olanzapine Induced Weight Gain in Male Albino Rats
Olanzapine is an effective atypical antipsychotic carrying the highest risk of weight gain. Atomoxetine is a Norepinephrine reuptake inhibitor that used mainly in attention deficit hyperactivity disorder in children and...
Orchid’s Extravaganza – an Old Wives Tale
Orchids are undoubtedly the most diversified flowering plants. Many of them possess most stunning and elegant blooms that are beyond our imagination. The fascinating intricate beauty of flower in the form of colouration...
Elaborative Study of the Dosha-dushya in Aetiology of Prameha W.S.R. Kriya Sharir
Diabetes mellitus (Prameha) is also termed as silent killer and recently evidence of cases of insulin resistance and occurrence of side effects from prolong administration of conservational drugs. It has triggered the re...
Cereal Crops Research Achievements and Challenges in Ethiopia
Cereals are the principal class of crops in Ethiopia in terms of area coverage (10.22 million ha), volume of grain production (25.38 million metric tons), engaging 16.24 million smallholder Ethiopian farmers for their li...