Results 31 to 40 of about 9,623 (179)

Operator representation of Gevrey ultradistributions algebra with supports on positive $n$-dimensional angle

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with ...
A. V. Solomko
doaj   +1 more source

Commutants of the Pommiez operator

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
The Pommiez operator (Δf)(z)=(f(z)−f(0))/z is considered in the space ℋ(G) of the holomorphic functions in an arbitrary finite Runge domain G. A new proof of a representation formula of Linchuk of the commutant of Δ in ℋ(G) is given. The main result is a
Ivan H. Dimovski, Valentin Z. Hristov
doaj   +1 more source

Patterns of commutativity: the commutant of the full pattern [PDF]

open access: yes, 2005
Identified are a number of conditions on square patterns that are closely related to allowing commutativity with the full pattern. Implications and examples that show non-implications are given, along with a graph that summarizes the provided information.
Johnson, CR, Marques, MD
core   +1 more source

Counting Commutators [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
Let G be a group generated by x and y, G 2 {G_2} be the commutator subgroup of G, and G 1 {G_1} be the group generated by y and G 2 {G_2} . This paper contains explicit expansions of
openaire   +2 more sources

Multiple commutator formulas [PDF]

open access: yesIsrael Journal of Mathematics, 2012
Let A be a quasi-finite R-algebra (i.e., a direct limit of module finite algebras) with identity. Let I_i, i=0,...,m, be two-sided ideals of A, \GL_n(A,I_i) the principal congruence subgroup of level I_i in GL_n(A) and E_n(A,I_i) be the relative elementary subgroup of level I_i.
Hazrat, Roozbeh (R16959), Zhang, Zuhong
openaire   +4 more sources

A Description of Commutant of Multiplication Operators on Bergman Spaces of the Polydisk

open access: yesپژوهش‌های ریاضی, 2021
We shall give a description of the commutant of a particular multiplication operator in the weighted Bergman spaces on n-dimensional complex polydisk../files/site1/files/71/1 ...
Ali Abkar
doaj  

On the Commutativity of a Certain Class of Toeplitz Operators

open access: yesConcrete Operators, 2014
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam   +2 more
doaj   +1 more source

Constrained characteristic functions, multivariable interpolation, and invariant subspaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we present a functional model theorem for completely non-coisometric n-tuples of operators in the noncommutative variety V f , φ , I ( H ) $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$ in terms of constrained characteristic functions.
Jian Hu, Maofa Wang, Wei Wang
doaj   +1 more source

Relative double commutants in coronas of separable C*-algebras

open access: yes, 2018
We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field ...
Kucerovsky, Dan, Mathieu, Martin
core   +1 more source

A note on Haag duality

open access: yesNuclear Physics B, 2022
Haag duality is a remarkable property in QFT stating that the commutant of the algebra of observables localized in some region of spacetime is exactly the algebra associated to the causally disconnected region.
Alan Garbarz, Gabriel Palau
doaj   +1 more source

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