Revistas académicas de la Universidad Católica del Norte
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On the Algebraic Dimension Of Banach Spaces Over Non-Archimedean Valued Fields Of Arbitrary Rank
No full textLet K be a complete non-archimedean valued field of any rank, and let E be a K-Banach space with a countable topological base. We determine the algebraic dimension of E (2.3, 2.4, 3.1)
Quasi - mackey topology
No full textLet E1, E2 be Hausdorff locally convex spaces with E2 quasi-complete, and T : E1 → E2 a continuous linear map. Then T maps bounded sets of E1 into relatively weakly compact subsets of E2 if and only if T is continuous with quasi-Mackey topology on E1. If E1 has quasi-Mackey topology and E2 is quasi-complete, then a sequentially continuous linear map T : E1 → E2 is an unconditionally converging operator
Regularity and amenability of the second dual of weighted group algebras
No full textFor a wide variety of Banach algebras A (containing the group algebras L1(G), M(G) and A(G)) the Arens regularity of A** is equivalent to that A, and the amenability of A** is equivalent to the amenability and regularity of A. In this paper, among other things, we show that this variety contains the weighted group algebras L1(G, w) and M(G, w)
Fixed points of a family of exponential maps
No full textWe consider the family of functions fλ(z) = exp(iλz), λ real. With the help of MATLAB computations, we show fλ has a unique attracting fixed point for several values of λ. We prove there is no attracting periodic orbit of period n ≥ 2
Countable s*-compactness in L-spaces
No full textIn this paper, the notions of countable S*-compactness is introduced in L-topological spaces based on the notion of S*-compactness. An S*-compact L-set is countably S*-compact. If L = [0, 1], then countable strong compactness implies countable S*-compactness and countable S*-compactness implies countable F-compactness, but each inverse is not true. The intersection of a countably S*-compact L-set and a closed L-set is countably S*-compact. The continuous image of a countably S*-compact L-set is countably S*-compact. A weakly induced L-space (X, T ) is countably S*-compact if and only if (X, [T ]) is countably compact
Nonresonance between two eigenvalues not necessarily consecutive
No full textAbstractIn this paper we study the existence of solutions for a semilinear elliptic problem in case two eigenvalues are not necessarily consecutive.RésuméDans cet article, nous étudions l’existence des solutions entre deux valeurs propres non nécessairement consecutives d’un problème semi-linéaire elliptique
Strategy for to stabilize non linear systems through directional controls
No full textFor a non linear system, with an isolated and non asymptotically stable equilibrium point, we had obtained a control strategy which disturb the system so that the dynamic move locally towards the equilibrium point. We consider the linearization of the system and feedback directional controls
Stationary solutions of magneto-micropolar fluid equations in exterior domains
No full textWe establish the existence and uniqueness of the solution for the magneto-micropolar fluid equations in the case of exterior domains in IR3 . First, we prove the existence of at least one weak solution of the stationary system. Then we discuss its uniqueness
Relative invariance for monoid actions
No full textLet S be a topological monoid acting on the topological space M. Let J be a subset of M. Our purpose here is to study the subsets of M which correspond, under the action of S, to the relative (with respect to J) invariant control sets for control systems (see [4] section 3.3). The relation x ? y if y ? cl(Sx) and x ? cl(Sy) is an equivalence relation and the classes with respect to this relation with nonempty interior in M are the control sets for the action of S. It is given conditions for the existence and uniqueness of relative invariant classes. As it was done for the control sets, we define an order in the classes and relate it to the relative invariant classes. We also show under certain condition that the relative invariant classes are relatively closed in J
A note on projection of fuzzy sets on hyperplanes
No full textThe aim of this paper is to realize a comparative study between the concepts of projection and shadow of fuzzy sets on a closed hyperplane in a Hilbert space X , this last one introduced by Zadeh in [8] on finite dimensional spaces and recently studied by Takahashi [1,7] in a real Hilbert space X