A characterization of compact sets in Lp (0, T; B) is given, where 1⩽P⩾∞ and B is a Banach space. For the existence of solutions in nonlinear boundary value problems by the compactness method, the point is to obtain compactness in a space Lp (0,T; B) from estimates with val...
Compact Convex Subsets of nThe following sections are included:Support FunctionsSteiner Centroid and ParametrizationLp-MetricsA Banach Space of Asymmetry ClassesBibliographical Notes#Support Functions#Steiner Centroid and Parametrization#Lp-Metrics#A Banach Space of Asymmetry Classes#Bibliographical Notes...
By means of some auxiliary lemmas, we obtain a characterization of compact subsets in the space of all fuzzy star-shaped numbers with ${L}_{p}$ metric for ... V.{ - 《Pennsylvania History》 被引量: 2发表: 1944年 Compact sets in the spaceLp(O,T; B) A characterization of compact ...
Otherwise, the noncommutative Lorenz spaces cannot be constructed as subsets of τ-measurable operators. Nevertheless, the unimodularity assumption may be in principle avoided, see e.g. [22], but the exposition would involve the Tomita-Takesaki modular theory and the Haagerup reduction technique. ...
More precisely, there exists a sequence of increasing compact subsets {Zn} in Pm0 (M) such that lim n→∞ Cr,p(Znc ) = 0. Let m ∈ N, m ≥ 2, α∈ ( 1 2m , 1 2 ). We introduce the fractional Ho¨ lder continuous path space Pm2m0 ,α(M) as Pm2m0 ,α(M) = γ∈ ...
P.L茅vy considered the upper and lower class with regard to the uniform continuity of Brownian motion. We...doi:10.1016/0021-9045(74)90102-6M.B MarcusJournal of Approximation TheoryMarcus, M. B. (1974). The ε-entropy of some compact subsets of l p . J. Approximation Theory 10 , ...
By means of some auxiliary lemmas, we obtain a characterization of compact subsets in the space of all fuzzy star-shaped numbers with Lp metric for 1 ≤ p < ∞.The result further completes and develops the previous characterization of compact subsets given byWu and Zhao in 2008.doi:10.1155/...
In a recent paper it is shown that this classification can be performed by certain simple structures involving linear functionals and memoryless nonlinear elements, assuming that the Cj are compact subsets of a real normed linear space. Here we give a similar solution to the problem under the ...
In a recent paper it is shown that this classification can be performed by certain simple structures involving linear functionals and memoryless nonlinear elements, assuming that the Cj are compact subsets of a real normed linear space. Here we give a similar solution to the problem under the ...
Subsets of these general sets include common fuzzy sets, such as fuzzy numbers, fuzzy star-shaped numbers with respect to the origin, fuzzy star-shaped numbers, and general fuzzy star-shaped numbers. Existing compactness criteria are stated for fuzzy numbers space, the space of fuzzy star-shaped...