Reinov, O. I.
Published in
Mathematical Notes

Abstract The first example of a Banach space with the approximation property but without the bounded approximation property was given by Figiel and Johnson in 1973. We give the first example of a Banach lattice with the approximation property but without the bounded approximation property. As a consequence, we prove the existence of an integral ope...

Pleshcheva, E. A.
Published in
Proceedings of the Steklov Institute of Mathematics

We consider the orthonormal bases of n-separate MRAs and wavelets constructed by the author earlier. The classical wavelet basis of the space L2(ℝ) is formed by shifts and compressions of a single function ψ. In contrast to the classical case, we consider a basis of L2(ℝ) formed by shifts and compressions of n functions ψs, s = 1,...,n. The constru...

Guy, Bernard

This article presents some unpublished results obtained in the early 1980s, reworked in the early 2000s, without attempting to situate them in today's (2019) literature. Matroid theory is based on the abstract notion of linear dependence as privileged over the quantitative aspects encountered in classical linear algebra. A matroïd is based on a set...

alqudah, mohammad a. almheidat, maalee n.

Approximating continuous functions by polynomials is vital to scientific computing and numerous numerical techniques. On the other hand, polynomials can be characterized in several ways using different bases, where every form of basis has its advantages and power. By a proper choice of basis, several problems will be removed / for instance, stabili...

Langezaal, Maikel (author)

The use of tangential vector fields and thus the need for designing them has steadily been increasing over the years. In this master thesis, a method is proposed and implemented that defines localized tangential vector fields on a mesh surface, which allows for the designing of vector fields on the triangulated surfaces of these meshes. Similarly, ...

imran, shahid siddiqui, muhammad kamran imran, muhammad hussain, muhammad

Let G = (V, E) be a connected graph and d(x, y) be the distance between the vertices x and y in G. A set of vertices W resolves a graph G if every vertex is uniquely determined by its vector of distances to the vertices in W. A metric dimension of G is the minimum cardinality of a resolving set of G and is denoted by dim(G). In this paper, Cycle, P...

lee, jeong-yup lee, dong-il kim, sungsoon

We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra T ( d , n ) of the complex reflection group G ( d , 1 , n ) , inducing the standard monomials expressed by the generators { E i } of T ( d , n ) . This result generalizes the one for the Coxeter group of type B n in the paper by Kim and Lee We also give a combinatorial interpretati...

imran, shahid siddiqui, muhammad kamran imran, muhammad hussain, muhammad bilal, hafiz muhammad cheema, imran zulfiqar tabraiz, ali saleem, zeeshan

Let G = (V, E) be a connected graph and d(u, v) denote the distance between the vertices u and v in G. A set of vertices W resolves a graph G if every vertex is uniquely determined by its vector of distances to the vertices in W. A metric dimension of G is the minimum cardinality of a resolving set of G and is denoted by dim(G). Let J2n,m be a m-le...

Vidrih, Jana

Kroflič Kabanov, Vera