Revistas académicas de la Universidad Católica del Norte
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On certain isotopic maps of central loops
No full textIt is shown that the Holomorph of a C-loop is a C-loop if each element of the automorphism group of the loops is left nuclear. Condition under which an element of the Bryant-Schneider group of a C-loop will form an automorphism is established. It is proved that elements of the Bryant-Schneider group of a C-loop can be expressed a product ofpseudo-automorphisms and right translations ofelements of the nucleus of the loop. The Bryant-Schneider group of a C-loop is also shown to be a kind of generalized holomorph of the loop
On binomial operator representations of certain polynomials
No full textBased on the technique used by M.A.Khanand A. K. Shukla [4] here finite series representations of binomial partial differential operators have been used to establish operator representations of various polynomials not considered in the earlier mentioned paper. The results obtained are believed to be new
Pointwise Boundedness and Equicontinuity in ß-Duals
No full textLet E be a vector valued sequence space with operator valued ß-dual EßY. If E satisfies certain gliding hump assumptions, we show that pointwise bounded subsets of EßY are sequentially equicontinuous. The result is established by considering uniform convergence of the elements in EßY
Countable compactness and the lindelof property in L-fuzzy topological spaces
No full textIn this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelöf property are introduced in L-fuzzy topological spaces, where L is a completely distributive DeMorgan algebra. An L-fuzzy compact L-fuzzy set is L-fuzzy countably compact and has the L-fuzzy Lindelöf property. An L-fuzzy set having the L-fuzzy Lindelöf property is L-fuzzy countably compact if and only if it is L-fuzzy compact. Many characterizations of L-fuzzy countable compactness and the L-fuzzy Lindelöf property are presented
On harmonious coloring of total graphs of c(cn), c(k1,n) and c(pn)
No full textIn this paper, we present the structural properties of total graph of central graph of cycles Cn, star graphs K1,n and paths Pn denoted by T (C(Cn)), T (C(K1,n)) and T (C(Pn)) respectively. We mainly focus our discussion on the harmonious chromatic number of T (C(Cn)), T (C(K1,n)) and T (C(Pn))
Some difference sequences defined by a sequence of modulus functions
No full textThe idea of difference sequence spaces was introduced by Kizmaz [6], and this concept was generalized by Bektas and Colak [1]. In this paper, we define the sequence spaces and , where F = (fk) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces
Extremals of a quadratic cost optimal problem on the real projective line
No full textLet Σ be a bilinear control system on R2 whose matrices generate the Lie algebra sl(2) of the Lie group Sl(2) : the group of order two real matrices with determinant 1. In this work we focus on the extremals of a quadratic cost optimal problem for the angle system PΣ defined by the projection of Σ onto the real projective line P1. It has been proved in [2] that through the Cartan-Killing form the cotangent bundle of P1 can be identified with a cone C in sl(2). Via the Pontryagin Maximum Principle, we explicitly show the extremals by using the mentioned identification and the special form of the trajectories associated with the lifting of vector fields on PΣ. We analyze both: the controllable case and when the system bf P Σ give rise to control sets. Some examples are shown
On ĝ-homeomorphisms in topological spaces
No full textIn this paper, we first introduce a new class of closed map called ĝ-closed map. Moreover, we introduce a new class of homeomorphism called ĝ-homeomorphism, which are weaker than homeomorphism. We prove that gc-homeomorphism and ĝ-homeomorphism are independent. We also introduce ĝ*-homeomorphisms and prove that the set of all ĝ*-homeomorphisms forms a group under the operation of composition of maps.
Arens regularity of some bilinear maps
No full textLet H be a Hilbert space. we show that the following statements are equivalent: (a) B(H) is finite dimension, (b) every left Banach module action l : B(H)×H → H, is Arens regular (c) every bilinear map f : B(H)*→ B(H) is Arens regular. Indeed we show that a Banach space X is reflexive if and only if every bilinear map f : X* × X → X* is Arens regular
On the volumetric entropy in the non compact case
No full textWe give an example of a non compact riemannian manifold with finite volume for which the limit corresponding to the classical definition of the volumetric entropy does not exist. This confirms the fact that in the non compact finite volume case, the natural definition is given by the critical exponent of the mean growth rate for the volume on the riemannian covering