Bulletin of the Belgian Mathematical Society, Simon Stevin (B BELG MATH SOCSIM)
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.
Current impact factor: 0.44
Impact Factor Rankings
2016 Impact Factor  Available summer 2017 

2014 / 2015 Impact Factor  0.444 
2013 Impact Factor  0.357 
2012 Impact Factor  0.316 
2011 Impact Factor  0.397 
2010 Impact Factor  0.341 
2009 Impact Factor  0.592 
2008 Impact Factor  0.236 
2007 Impact Factor  0.174 
2006 Impact Factor  0.155 
2005 Impact Factor  0.196 
2004 Impact Factor  0.295 
2003 Impact Factor  0.444 
2002 Impact Factor  0.221 
2001 Impact Factor  0.245 
2000 Impact Factor  0.2 
1999 Impact Factor  0.346 
Impact factor over time
Additional details
5year impact  0.45 

Cited halflife  7.20 
Immediacy index  0.02 
Eigenfactor  0.00 
Article influence  0.34 
Website  Bulletin of the Belgian Mathematical Society Simon Stevin website 
Other titles  Bulletin of the Belgian Mathematical Society, Simon Stevin (Online), Bull. Belg. Math. Soc 
ISSN  13701444 
OCLC  52636340 
Material type  Document, Periodical, Internet resource 
Document type  Internet Resource, Computer File, Journal / Magazine / Newspaper 
Publications in this journal

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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 MA,MB by MA,MB(X) = AXB, (X is an element of L(E)). If S is a symmetric norm ideal of L(E), we denote MS,MA,MB the restriction of MA,MB to S. In this paper, the norm equality parallel to I + MS,MA,MB 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 pideal of L(E).  [Show abstract] [Hide abstract]
ABSTRACT: Based on the semantic concepts developed by M. Dunn and N. Belnap, a fourvalued 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 truthfunction 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 truthfunction for a fourvalued semantics can be represented by a formula in a disjunctive form or in a conjunctive form.  [Show abstract] [Hide abstract]
ABSTRACT: this paper, we consider the existence and multiplicity of solutions for perturbed pLaplacian equation problems with critical nonlinearity in RN: epsilon(p)[g(integral(RN) vertical bar del(Au)vertical bar(p)dx)]Delta(p,Au) + V(x)vertical bar u vertical bar(p2)u = vertical bar u vertical bar(p*2)u + h(x, vertical bar u vertical bar(p))vertical bar u vertical bar(p2)u for all (t, x) is an element of R x RN, where V(x) is a nonnegative potential, Delta(p,Au)(x) := div(vertical bar del u + iA(x)u vertical bar(p2)(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.  [Show abstract] [Hide abstract]
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.  [Show abstract] [Hide abstract]
ABSTRACT: Let A be a Banach algebra and let phi be a nonzero character on A. We introduce the notion of phiergodic property for a Banach right Amodule X. This concept considerably generalizes the existence of phimeans of norm one on A*. We also show that the phiergodic property of X is related to some other properties such as a HahnBanach type extension property and the existence of phimeans of norm one on a certain subspace of A*. Finally, we give some characterizations for phiamenability of a Banach algebra in terms of its closed ideals. 
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 3fold 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.  [Show abstract] [Hide abstract]
ABSTRACT: Integer multiplication in facobians of genus 2 curves over a finite field Fq 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 Fq, a root in Fq 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 bruteforce adaptations of the existing methods to our setting.  [Show abstract] [Hide abstract]
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 S1 to S2.  [Show abstract] [Hide abstract]
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 SierpinskiZygmund functions (SZ). In addition, we show that under certain settheoretic assumptions the lineability of the class of SierpinskiZygmund functions (SZ) is equal to the lineability of the class of almost continuous SierpinskiZygmund functions (AC boolean AND SZ).  [Show abstract] [Hide abstract]
ABSTRACT: If W is a finite Coxeter group and phi is a weight function, Lusztig has defined phiconstructible characters of W, as well as a partition of the set of irreducible characters of W into Lusztig phifamilies. We prove that every Lusztig phifamily contains a unique character with minimal binvariant, and that every phiconstructible character has a unique irreducible constituent with minimal binvariant. 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 CalogeroMoser families and CalogeroMoser cellular characters.  [Show abstract] [Hide abstract]
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.  [Show abstract] [Hide abstract]
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.
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