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In this paper we find some necessary and sufficient conditions for a Banach algebra to be amenable or weakly amenable, by applying the homomorphisms on Banach algebras.

泛函分析 · 数学 2007-05-23 M. Eshaghi Gordji

The two model-theoretic concepts of weak saturation and weak amalgamation property are studied in the context of accessible categories. We relate these two concepts providing sufficient conditions for existence and uniqueness of weakly…

范畴论 · 数学 2025-08-06 Ivan Di Liberti

We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.

动力系统 · 数学 2024-07-02 Frédéric Le Roux , Alejandro Passeggi , Martin Sambarino , Maxime Wolff

In this paper we analyse the structure of the Cuntz semigroup of certain $C(X)$-algebras, for compact spaces of low dimension, that have no $\mathrm{K}_1$-obstruction in their fibres in a strong sense. The techniques developed yield…

算子代数 · 数学 2011-01-26 Ramon Antoine , Francesc Perera , Luis Santiago

The weak factorization theorem for birational maps is used to prove that for all nonnegative i the ith mod 2 Betti number of compact nonsingular real algebraic varieties has a unique extension to a "virtual Betti number" beta_i defined for…

代数几何 · 数学 2012-02-15 Clint McCrory , Adam Parusinski

We completely characterize the logical hierarchy of various subsystems of weak arithmetic, namely: ZR, ZR + N, ZR + GCD, ZR + Bez, OI + N, OI + GCD, OI + Bez.

逻辑 · 数学 2010-03-18 Shahram Mohsenipour

We show that for every weakly compact subset $K$ of $C[0,1]$ with finite Cantor-Bendixson rank, there is a reflexive Banach lattice $E$ and an operator $T:E\rightarrow C[0,1]$ such that $K\subseteq T(B_E)$. On the other hand, we exhibit an…

泛函分析 · 数学 2016-03-18 J. Lopez-Abad , P. Tradacete

We provide general formulation of weak identification in semiparametric models and an efficiency concept. Weak identification occurs when a parameter is weakly regular, i.e., when it is locally homogeneous of degree zero. When this happens,…

计量经济学 · 经济学 2022-01-24 Tetsuya Kaji

In this paper, we extend earlier work by showing that if $X$ and $Y$ are simplicial complexes (i.e. simplicial sets whose nondegenerate simplices are determined by their vertices), an isomorphism $\mathcal{C}(X)\cong\mathcal{C}(Y)$ of…

代数拓扑 · 数学 2013-08-13 Justin R. Smith

We say that an infinite word w is weak abelian periodic if it can be factorized into finite words with the same frequencies of letters. In the paper we study properties of weak abelian periodicity, its relations with balance and frequency.…

组合数学 · 数学 2013-02-19 Sergey Avgustinovich , Svetlana Puzynina

We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois coverings of its connecting component. As a…

表示论 · 数学 2011-01-20 Patrick Le Meur

Weakly Schreier split extensions are a reasonably large, yet well-understood class of monoid extensions, which generalise some aspects of split extensions of groups. This short note provides a way to define and study similar classes of…

环与代数 · 数学 2023-07-18 Graham Manuell , Nelson Martins-Ferreira

In this paper we show that if $(y_n)$ is a seminormalized sequence in a Banach space which does not have any weakly convergent subsequence, then it contains a wide-$(s)$ subsequence $(x_n)$ which admits an equivalent convex basic sequence.…

泛函分析 · 数学 2018-03-26 C. S. Barroso , V. Ferreira

We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type $A$ on a certain set of weights. In positive characteristic we give a linkage…

表示论 · 数学 2007-09-07 Anton Cox , Maud De Visscher , Stephen Doty , Paul Martin

In this paper, we prove the following "Weak Bounded Negativity Conjecture", which says that given a complex smooth projective surface $X$, for any reduced curve $C$ in $X$ and integer $g$, assume that the geometric genus of each component…

代数几何 · 数学 2017-09-01 Feng Hao

We introduce the class of generalized biserial quiver algebras and prove that they provide a complete classification of all weakly symmetric biserial algebras over an algebraically closed field.

表示论 · 数学 2018-02-15 Rafał Bocian , Andrzej Skowroński

We define the concept of weak pseudotwistor for an algebra $(A, \mu)$ in a monoidal category $\mathcal{C}$, as a morphism $T:A\otimes A\rightarrow A\otimes A$ in $\mathcal{C}$, satisfying some axioms ensuring that $(A, \mu \circ T)$ is also…

量子代数 · 数学 2016-04-20 Florin Panaite , Freddy Van Oystaeyen

For any complex vector bundle $E^k$ of rank $k$ over a manifold $M^m$ with Chern classes $c_i \in H^{2i}(M^m,\Z)$ and any non-negative integers $l_1, >..., l_k$ we show the existence of a positive number $N(k,m)$ and the existence of a…

微分几何 · 数学 2014-09-02 Hong-Van Le

Many $W$-algebras (e.g. the $W_N$ algebras) are consistent for all values of the central charge except for a discrete set of exceptional values. We show that such algebras can be contracted to new consistent degenerate algebras at these…

高能物理 - 理论 · 物理学 2015-06-26 C. M. Hull , L. Palacios

We study operator algebraic and function theoretic aspects of algebras of bounded nc functions on subvarieties of the nc domain determined by all levels of the unit ball of an operator space (nc operator balls). Our main result is the…

算子代数 · 数学 2025-04-15 Jeet Sampat , Orr Shalit