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We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra of generalized Schr\"odinger operators on the discrete line or…

Spectral Theory · Mathematics 2023-01-20 Fabian Gabel , Dennis Gallaun , Julian Großmann , Marko Lindner , Riko Ukena

A near permutation of a set is a bijection between two cofinite subsets, modulo coincidence on smaller cofinite subsets. Near permutations of a set form its near symmetric group. In this monograph, we define near actions as homomorphisms…

Group Theory · Mathematics 2019-01-17 Yves Cornulier

We define a cup product on the Hochschild cohomology of an associative conformal algebra $A$, and show the cup product is graded commutative. We define a graded Lie bracket with the degree $-1$ on the Hochschild cohomology $\HH^{\ast}(A)$…

Rings and Algebras · Mathematics 2022-11-22 Bo Hou , Zhongxi Shen , Jun Zhao

A connection between representation of compact groups and some invariant ensembles of Hermitian matrices is described. We focus on two types of invariant ensembles which extend the Gaussian and the Laguerre Unitary ensembles. We study them…

Probability · Mathematics 2012-07-12 Manon Defosseux

We investigate approximation properties for $C^*$-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable…

Operator Algebras · Mathematics 2007-05-23 May Nilsen , Roger Smith

The group of continuous binary operations on a topological space is studied; its relationship with the group of homeomorphisms is established. The category of binary $G$-spaces and bi-equivariant maps is constructed, which is a natural…

General Topology · Mathematics 2023-07-13 Pavel S. Gevorgyan

We introduce a bounded version of Bredon cohomology for groups relative to a family of subgroups. Our theory generalizes bounded cohomology and differs from Mineyev--Yaman's relative bounded cohomology for pairs. We obtain cohomological…

Group Theory · Mathematics 2023-05-17 Kevin Li

Let ${\mathcal H}_{q}(d)$ be the Iwahori-Hecke algebra for the symmetric group, where $q$ is a primitive $l$th root of unity. In this paper we develop a theory of support varieties which detects natural homological properties such as the…

Representation Theory · Mathematics 2018-02-06 Daniel K. Nakano , Ziqing Xiang

This paper deals with the approximations of Durrmeyer type generalization of Szasz-Mirakjan operators. We establish the direct results, quantitative Voronovskaya type theorem, Gruss type theorem, A-statistical convergence, rate of…

Functional Analysis · Mathematics 2019-12-02 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

We give explicit formulas for maps in a long exact sequence connecting bialgebra cohomology to Hochschild cohomology. We give a sufficient condition for the connecting homomorphism to be surjective. We apply these results to compute all…

Rings and Algebras · Mathematics 2008-05-12 Mitja Mastnak , Sarah Witherspoon

We prove that the classical algebraic varieties over algebraically closed fields can be defined over arbitrary fields $k.$ Then we prove that for associative algebras $A$, there exist local representing objects $A_M$ for simple modules $M.$…

Algebraic Geometry · Mathematics 2026-04-14 Arvid Siqveland

A rack is a set with a binary operation that is right-invertible and self-distributive, properties diagrammatically corresponding to Reidemeister moves II and III, respectively. A rack is said to be an {\it augmented rack} if the operation…

Geometric Topology · Mathematics 2022-07-12 Masahico Saito , Emanuele Zappala

In this article, we construct operator models for meromorphic functions of bounded type on Krein spaces. This construction is based on certain reproducing kernel Hilbert spaces which are closely related to model spaces. Specifically, we…

Functional Analysis · Mathematics 2024-11-28 Christian Emmel

We consider an abstract sequence $\{A_n\}_{n=1}^\infty$ of closed symmetric operators on a separable Hilbert space $\mathcal{H}$. It is assumed that all $A_n$'s have equal deficiency indices $(k,k)$ and thus self-adjoint extensions…

Mathematical Physics · Physics 2023-12-15 August Bjerg

We extend to multilinear Hankel operators the fact that truncation of bounded Hankel operators is bounded. We prove and use a continuity property of a kind of bilinear Hilbert transforms on product of Lipschitz spaces and Hardy spaces.

Functional Analysis · Mathematics 2007-05-23 Sandrine Grellier , Mohammad Kacim

In this work we study two Riemannian distances between infinite-dimensional positive definite Hilbert-Schmidt operators, namely affine-invariant Riemannian and Log-Hilbert-Schmidt distances, in the context of covariance operators associated…

Machine Learning · Statistics 2021-08-27 Ha Quang Minh

We give a function field specific, algebraic proof of the main results of class field theory for abelian extensions of degree coprime to the characteristic. By adapting some methods known for number fields and combining them in a new way,…

Number Theory · Mathematics 2015-12-03 Florian Hess , Maike Massierer

We consider the extended superconformal algebras of the Knizhnik-Bershadsky type with $W$-algebra like composite operators occurring in the commutation relations, but with generators of conformal dimension 1,$\frac{3}{2}$ and 2, only. These…

High Energy Physics - Theory · Physics 2007-05-23 K. Ito , J. O. Madsen , J. L. Petersen

A modified Version of the Hardy-Littlewood tauberian Theorem is used to prove under which conditions the moduli of the coefficients |a(n)/n| of schlicht functions tend uniformly to their Hayman Indexes as n tends to infinity.

Complex Variables · Mathematics 2017-03-06 Eberhard Michel

This short note presents a peculiar generalization of the Riemann hypothesis, as the action of the permutation group on the elements of continued fractions. The problem is difficult to attack through traditional analytic techniques, and…

Number Theory · Mathematics 2011-01-04 Linas Vepstas