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7.579  Articles
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Let T be a bounded linear operator on a Banach space X into itself. In this paper, we study the uniform ergodicity of the operator T|Y when Y is a closed subspace invariant under T. We show that if T satisfies, lim n ? 8 ? T n ? n = 0 , then T is uniforml... see more

Consider a uniquely ergodic C * -dynamical system based on a unital *-endomorphism Φ of a C * -algebra. We prove the uniform convergence of Cesaro averages 1 n ∑ k = 0 n − 1 λ − n Φ ( a )... see more

We obtain the strengthened Kolmogorov comparison theorem in asymmetric case.In particular, it gives us the opportunity to obtain the following strengthened Kolmogorov inequality in the asymmetric case:?x(k)±?8=?fr-k(·;a,ß)±?8E0(fr(·;a,ß))1-k/r8|||x|||1-k/... see more

In a uniform central graph (UCG) the set of eccentric vertices of a central vertex is the same for all central vertices. This collection of eccentric vertices is the centered periphery. For a pair of graphs (C,P) the central-peripheral appendage number, A... see more

Let E be a vector space, F aset, G be a locally convex space, b : E X F — G a map such that ò(-,y): E — G is linear for every y G F; we write b(x, y) = x · y for brevity. Let ? be a scalar sequence space and w(E,F) the weakest topology on E such... see more

In this work, we introduce the concepts of compactly invariant and uniformly invariant. Also we define sometimes C-invariant closed subspaces and then prove every m-dimensional normed space with m > 1 has a nontrivial sometimes C-invariant closed subsp... see more

An rr-uniform hypergraph is linear if every two edges intersect in at most one vertex. Given a family of rr-uniform hypergraphs F\mathcal{F}, the linear Turán number exlinr(n,F)_r^{lin}(n,\mathcal{F}) is the maximum number of edges of a linear rr-uniform ... see more

We prove some general theorems on the convergence of successive approximations xn=Axn-1 to a fixed point of a nonlinear contraction mapping A defined on an E-metric space. We derive, as applications, some fixed point theorems in uniform spaces and an abst... see more

1 of 759 pages  |  10  records  |  more records»