نتایج جستجو برای: regular space
تعداد نتایج: 606501 فیلتر نتایج به سال:
We study certain interpolation and extension properties of the space of regular operators between two Banach lattices. Let R p be the space of all the regular (or equivalently order bounded) operators on L p equipped with the regular norm. We prove the isometric identity R p = (R ∞ , R 1) θ if θ = 1/p, which shows that the spaces (R p) form an interpolation scale relative to Calderón's interpol...
In the present study, we consider a regular curve in Galilean $4$-space $mathbb{G}_{4}$ whose position vector is written as a linear combination of its Frenet vectors. We characterize such curves in terms of their curvature functions. Further, we obtain some results of rectifying, constant ratio, $T$-constant and $N$-constant curves in $mathbb{G}_{4}$.
For a given measure space $(X,{mathscr B},mu)$ we construct all measure spaces $(Y,{mathscr C},lambda)$ in which $(X,{mathscr B},mu)$ is embeddable. The construction is modeled on the ultrafilter construction of the Stone--v{C}ech compactification of a completely regular topological space. Under certain conditions the construction simplifies. Examples are given when this simplification o...
In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).
in this paper some properties of weak regular injectivity for $s$-posets, where $s$ is a pomonoid, are studied. the behaviour of different kinds of weak regular injectivity with products, coproducts and direct sums is considered. also, some characterizations of pomonoids over which all $s$-posets are of some kind of weakly regular injective are obtained. further, we giv...
In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly G$hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(ell_{p})$ spaces, $1 < p
Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect to additive maps T1,...,Tn: A(X) → C(X) and then we characterize the general form of such maps for a certain class of subspaces A(X,E) of C(...
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