# Bulletin of the Belgian Mathematical Society, Simon Stevin (B BELG MATH SOC-SIM)

Publisher: Société mathématique de Belgique

## Journal description

The Bulletin of the Belgian Mathematical Society - Simon Stevin publishes papers in English, Dutch, French and German. The bulletin is devoted to articles of the following types: expository papers: these should present to a large audience some significant aspects of Pure or Applied Mathematics; research articles: the aim of this section is to publish rapidly high level research papers.

## Impact Factor Rankings

2016 Impact Factor Available summer 2017 0.444 0.357 0.316 0.397 0.341 0.592 0.236 0.174 0.155 0.196 0.295 0.444 0.221 0.245 0.2 0.346

## Impact factor over time

Impact factor
.
Year

5-year impact 0.45 7.20 0.02 0.00 0.34 Bulletin of the Belgian Mathematical Society Simon Stevin website Bulletin of the Belgian Mathematical Society, Simon Stevin (Online), Bull. Belg. Math. Soc 1370-1444 52636340 Document, Periodical, Internet resource Internet Resource, Computer File, Journal / Magazine / Newspaper

## Publications in this journal

• ##### Article: Cauchy transformation and mutual dualities between $A^{-\infty}(\Omega)$ and $A^\infty(\complement\Omega)$ for Carath\'eodory domains

No preview · Article · Jan 2016 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: A note on the norm of a basic elementary operator
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ABSTRACT: Let L(E) be the algebra of all bounded linear operators on a Banach space E. For A,B is an element of L(E), define the basic elementary operator M-A,M-B by M-A,M-B(X) = AXB, (X is an element of L(E)). If S is a symmetric norm ideal of L(E), we denote M-S,M-A,M-B the restriction of M-A,M-B to S. In this paper, the norm equality parallel to I + M-S,M-A,M-B parallel to = 1 parallel to A parallel to parallel to B parallel to is studied. In particular, we give necessary and sufficient conditions on A and B for this equality to hold in the special case when E is a Hilbert space and S is a Schatten p-ideal of L(E).
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Normal forms and functional completeness for four-valued languages
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ABSTRACT: Based on the semantic concepts developed by M. Dunn and N. Belnap, a four-valued language containing only two logical symbols is proposed. We show that this language is functionally complete with regard to the given semantics. Specifically, we prove that every truth-function is expressed by a formula of the language. To do this, we define two concepts akin to the disjunctive and conjunctive normal forms. Using these concepts, we establish that every truth-function for a four-valued semantics can be represented by a formula in a disjunctive form or in a conjunctive form.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Existence of solutions for p-Laplacian equation with electromagnetic fields and critical nonlinearity
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ABSTRACT: this paper, we consider the existence and multiplicity of solutions for perturbed p-Laplacian equation problems with critical nonlinearity in R-N: -epsilon(p)[g(integral(RN) vertical bar del(Au)vertical bar(p)dx)]Delta(p,Au) + V(x)vertical bar u vertical bar(p-2)u = vertical bar u vertical bar(p*-2)u + h(x, vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u for all (t, x) is an element of R x R-N, where V(x) is a nonnegative potential, Delta(p,Au)(x) := div(vertical bar del u + iA(x)u vertical bar(p-2)(del u + iA(x)u) and del(Au) := (del + iA)u. By using Lions' second concentration compactness principle and concentration compactness principle at infinity to prove that the (PS)(c) condition holds locally and by variational method, we show that this equation has at least one solution provided that epsilon < epsilon, for any m is an element of N, it has m pairs of solutions if epsilon < epsilon(m), where epsilon and epsilon(m) are sufficiently small positive numbers.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: The impact of nonlinear restoring forces acting on hinged elastic beams
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ABSTRACT: We consider a hinged elastic beam subject to a nonlinear restoring force. We show that the equilibrium position of the beam under the action of a vertical load displays an oscillating profile. We compare the nonlinear model with the linear model and we study the dependence of the solution with respect to the physical parameters involved.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: On phi-ergodic property of Banach modules
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ABSTRACT: Let A be a Banach algebra and let phi be a non-zero character on A. We introduce the notion of phi-ergodic property for a Banach right A-module X. This concept considerably generalizes the existence of phi-means of norm one on A*. We also show that the phi-ergodic property of X is related to some other properties such as a Hahn-Banach type extension property and the existence of phi-means of norm one on a certain subspace of A*. Finally, we give some characterizations for phi-amenability of a Banach algebra in terms of its closed ideals.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Abstract Shearlet Transform
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ABSTRACT: In this paper, the shearlet theory is extended from Euclidean spaces to locally compact groups. More precisely, the abstract shearlet group is defined as a 3-fold semidirect product and the abstract shearlet transform is constructed by means of a quasiregular representation of the semidirect product group. Its properties are investigated and results are illustrated by some examples.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Bisection for genus 2 curves with a real model
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ABSTRACT: Integer multiplication in facobians of genus 2 curves over a finite field F-q is a fundamental operation for hyperelliptic curve cryptography. Algorithmically, the result of this operation is given by the very well known algorithms of Cantor. One method to reverse duplication in these cases consists in associating, to every preimage of the desired doubled divisor defined over F-q, a root in F-q of the so called bisection polynomial. We generalize this approach to genus 2 curves with two points at infinity, both in even and odd characteristics. We attach a bisection polynomial to each possible type of Mumford coordinate, we show the factorization of these in terms of Galois orbits in the set of bisections, and we compare the efficiency of our approach versus brute-force adaptations of the existing methods to our setting.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Computational examples of rational string operations on Gorenstein spaces
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ABSTRACT: In this paper, we give computational examples of string operations over the rational numbers field on Gorenstein spaces introduced by Felix and Thomas. Especially, we determine the structure of rational string operations on the classifying space of a compact connected Lie group and the Borel construction associated to an action of S-1 to S-2.
No preview · Article · Oct 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Algebraic structures within subsets of Hamel and Sierpinski-Zygmund functions
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ABSTRACT: We prove the existence of an additive semigroup of cardinality 2(c) contained in the intersection of the classes of Hamel functions (HF) and Sierpinski-Zygmund functions (SZ). In addition, we show that under certain set-theoretic assumptions the lineability of the class of Sierpinski-Zygmund functions (SZ) is equal to the lineability of the class of almost continuous Sierpinski-Zygmund functions (AC boolean AND SZ).
No preview · Article · Jul 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Constructible characters and b-invariant
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ABSTRACT: If W is a finite Coxeter group and phi is a weight function, Lusztig has defined phi-constructible characters of W, as well as a partition of the set of irreducible characters of W into Lusztig phi-families. We prove that every Lusztig phi-family contains a unique character with minimal b-invariant, and that every phi-constructible character has a unique irreducible constituent with minimal b-invariant. This generalizes Lusztig's result about special characters to the case where phi is not constant. This is compatible with some conjectures of Rouquier and the author about Calogero-Moser families and Calogero-Moser cellular characters.
No preview · Article · Jul 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: Pseudorandom subsets with composite moduli
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ABSTRACT: In earlier papers C. Dartyge and A. Sarkozy presented large families of pseudorandom subsets with prime moduli. In this paper we extend two large families of subsets to the case when the moduli is composite.
No preview · Article · Jul 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin
• ##### Article: On nuclearity of the algebra of adjointable operators
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ABSTRACT: We study nuclearity of the C*-algebra B(epsilon) of adjointable operators on a full Hilbert C*-module epsilon over a C*-algebra A. When A is a von Neumann algebra and epsilon is full and self dual, we show that B(epsilon) is nuclear if and only if A is nuclear and epsilon is finitely generated. In particular, when A is a factor, then nuclearity of B(epsilon) implies that epsilon, A and B(epsilon) are finite dimensional.
No preview · Article · Jul 2015 · Bulletin of the Belgian Mathematical Society, Simon Stevin