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In this paper we obtain new inclusion and coincidence theorems for absolutely or multiple summing multilinear mappings. In particular, we derive optimal coincidence theorems of Bohnenblust-Hille type for multilinear forms on K-convex Banach…

泛函分析 · 数学 2008-11-18 G. Botelho , C. Michels , D. Pellegrino

Monotonicity of a mapping implies its pseudomonotonicity and hence quasimonotonocity, the converse is not true. In this note we intend to study the situations under which quasimono tonicity of a mapping implies its monotonicity. Thus we…

最优化与控制 · 数学 2025-02-18 Oday Hazaimah

We show that every continuous map from one translationally finite tiling space to another can be approximated by a local map. If two local maps are homotopic, then the homotopy can be chosen so that every interpolating map is also local.

动力系统 · 数学 2018-07-10 Betseygail Rand , Lorenzo Sadun

In this paper, we introduce a new class of subsets of bounded linear operators between Banach spaces which is p-version of the uniformly completely continuous sets. Then, we study the relationship between these sets with the equicompact…

泛函分析 · 数学 2020-03-26 M. Alikhani

We introduce the notion of a topological symmetry as a quantum mechanical symmetry involving a certain topological invariant. We obtain the underlying algebraic structure of the Z_2-graded uniform topological symmetries of type (1,1) and…

高能物理 - 理论 · 物理学 2009-10-31 A. Mostafazadeh , K. Aghababaei Samani

We show that given a positive integer $m$, a real number $p\in\left[ 2,\infty\right)$ and $1\leq s<p^{\ast}$ the set of non--multiple $\left( r;s\right)$--summing $m$--linear forms on $\ell_{p}\times\cdots\times \ell_{p}$ contains, except…

泛函分析 · 数学 2015-09-08 Gustavo Araujo , Daniel Pellegrino

We study the relation between approximate joint diagonalization of self-adjoint matrices and the norm of their commutator, and show that almost commuting self-adjoint matrices are almost jointly diagonalizable by a unitary matrix.

数值分析 · 计算机科学 2013-07-16 Klaus Glashoff , Michael M. Bronstein

Let X be a compact (resp. compact and nonsingular) real algebraic variety and let Y be a homogeneous space for some linear real algebraic group. We prove that a continuous (resp. C^infinity) map f:X-->Y can be approximated by regular maps…

代数几何 · 数学 2020-12-23 Jacek Bochnak , Wojciech Kucharz

The fast escaping set of a transcendental entire function is the set of all points which tend to infinity under iteration as fast as compatible with the growth of the function. We study the analogous set for quasiregular mappings in higher…

动力系统 · 数学 2014-08-12 Walter Bergweiler , David Drasin , Alastair Fletcher

As a generalization of slant submersions (Sahin, 2011), semi-slant submersions (Park and Prasad), and slant Riemannian maps (Sahin), we define the notion of semi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.…

微分几何 · 数学 2012-09-06 Kwang-Soon Park

We consider coherent sublinear expectations on a measurable space, without assuming the existence of a dominating probability measure. By considering a decomposition of the space in terms of the supports of the measures representing our…

概率论 · 数学 2011-10-27 Samuel N. Cohen

Generalizations of the theorems of Wiman and of Arima on entire functions are proved for spatial quasiregular mappings.

经典分析与常微分方程 · 数学 2010-02-15 Olli Martio , Vladimir M. Miklyukov , Matti K. Vuorinen

We study in this paper some property of Lipschitz mappings which admit factorization through an operator ideal. We try to construct Lipschitz cross-norms from known tensor norms in order to represent certain classes of Lipschitz mappings.…

泛函分析 · 数学 2017-10-18 Khalil Saadi

Using the idea of quasi-ideals of $P$-regular nearrings, the concept of bi-ideals of $P$-regular nearrings is generalized, which is an extension of the concept of quasi-ideals of $P$-regular nearrings and some interesting characterizations…

环与代数 · 数学 2012-12-18 Aphisit Muangma , Aiyared Iampan

The present article is devoted to some examples of functions whose arguments represented in terms of certain series of the Cantor type.

经典分析与常微分方程 · 数学 2021-01-05 Symon Serbenyuk

Given pointed cellular spaces $X$ and $Y$, $X$ compact, and an integer $r\ge0$, we define a relation $\overset r\approx$ on $[X,Y]$ and argue for the conjecture that it always coincides with the $r$-similarity $\overset r\sim$.

代数拓扑 · 数学 2026-02-13 S. S. Podkorytov

A recent preprint (arXiv:1402.2632) introduced a growth procedure for planar maps, whose almost sure limit is "the uniform infinite 3-connected planar map". A classical construction of Brooks, Smith, Stone and Tutte (1940) associates a…

概率论 · 数学 2014-05-20 Louigi Addario-Berry , Nicholas Leavitt

We introduce the notion of "quasi-symmetric" polynomials, which is a generalization of the notion of symmetry, and is particularly suited to the setting of polynomial rings over finite fields. The properties of this new class of functions…

数论 · 数学 2007-05-23 Vinay Deolalikar

Almost-commuting matrices with respect to the normalized Hilbert-Schmidt norm are considered. Normal almost commuting matrices are proved to be near commuting.

代数几何 · 数学 2010-02-17 Lev Glebsky

In this paper we define a numerical shape invariant of a continuous map called shape dimension of a map, which generalizes the shape dimension of a topological space. Some basic properties and applications of this invariant are given. The…

代数拓扑 · 数学 2023-08-29 Pavel S. Gevorgyan , I. Pop