We introduce property (FS), which asserts that a Banach space has many c0-\sub-decompositions", and show that if X is a Banach space with property (FS) and X is isomorphic tò1, then X itself is isomorphic to c0.

Consider a memoryless relay channel, where the relay is connected to the destination with an isolated bit pipe of capacity C0. Let C(C0) denote the capacity of this channel as a function of C0. What is the critical value of C0 such that C(C0) first equals C(∞)? This is a long-standing open problem posed by Cover and named “The Capacity of the Relay Channel,” in Open Problems in Communication an...

This paper considers the stability and convergence results for the Euler implicit/explicit scheme applied to the spatially discretized twodimensional (2D) time-dependent Navier-Stokes equations. A Galerkin finite element spatial discretization is assumed, and the temporal treatment is implicit/explict scheme, which is implicit for the linear terms and explicit for the nonlinear term. Here the s...

is (an(c0, . . . , cl−1; p1, . . . , pl))n≥0, or briefly (an)n≥0, where the pi are constant coefficients, with given aj = cj for all j = 0, 1, . . . , l − 1, and n ≥ l; in such a context, (an)n≥0 is called an l-sequence. In the case l = 2, this sequence is called Horadam’s sequence and was introduced, in 1965, by Horadam [4, 5], and it generalizes many sequences (see [1, 6]). Examples of such s...

Recently Milovanovic et al. [Bulletin T.CLIII de l?Aca?mie serbe des sciences arts - 2020.] proved that if P(z) ? Pn with no zeros in |z| < k, k 1, then, |P?(z)| ?P?/2 [n {n(k 1/k + 1) 2/k 1 (|c0| kn|cn|/|c0| kn|cn|)} |P(z)|2 ?P?2], = where c0 c1z ... cnzn is a polynomial of degree n. In this paper, we obtain some results concerning the class polynomials having s?fold zero at origin. These n...

Abstract Background and Aims Due to unavailability of the generic tacrolimus, commonly used in renal transplant patients Tunisia, all switched Brand. No previous studies have assessed pharmacokinetic differences this tacrolimus compared brand. The aim present study was evaluate effect switch on dose (D) dose-adjusted trough blood concentrations (C0/D) Tunisian recipients. Method For 255 monitor...

Within the class of reflexive Banach spaces, we prove a metric characterization asymptotic-c0 spaces in terms bi-Lipschitz invariant which involves metrics that generalize Hamming on k-subsets ℕ. We apply this to show separable, reflexive, and is non-Borel co-analytic. Finally, introduce relaxation property, called asymptotic-subsequential-c0 partial obstruction equi-coarse embeddability sequen...

We consider the Fröbenius-Perron semigroup of linear operators associated to a semidynamical system defined in a topological space X endowed with a finite or a σ -finite regular measure. We prove that if there exists a faithful invariant measure for the semidynamical system, then the Fröbenius-Perron semigroup of linear operators is C0-continuous in the space Lμ(X). We also give a geometrical c...