Results 51 to 60 of about 11,887 (225)

On a weighted Toeplitz operator and its commutant

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We study the structure of a class of weighted Toeplitz operators and obtain a description of the commutant of each operator in this class. We make some progress towards proving that the only operator in the commutant which is not a scalar multiple of the
Vasile Lauric
doaj   +1 more source

Commutation matrices and Commutation tensors [PDF]

open access: yesLinear and Multilinear Algebra, 2018
The commutation matrix was first introduced in statistics as a transposition matrix by Murnaghan in 1938. In this paper, we first investigate the commutation matrix which is employed to transform a matrix into its transpose. We then extend the concept of the commutation matrix to commutation tensor and use the commutation tensor to achieve the ...
Changqing Xu, Lingling He, Zerong Lin
openaire   +3 more sources

Implications of an arithmetical symmetry of the commutant for modular invariants [PDF]

open access: yes, 1992
We point out the existence of an arithmetical symmetry for the commutant of the modular matrices S and T. This symmetry holds for all affine simple Lie algebras at all levels and implies the equality of certain coefficients in any modular invariant ...
Aldazabal   +20 more
core   +2 more sources

Commutator rings [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2006
A ring is called a commutator ring if every element is a sum of additive commutators. In this note we give examples of such rings. In particular, we show that given any ring R, a right R-module N, and a nonempty set Ω, EndR(⌖ΩN) and EndR(ΠΩN) are commutator rings if and only if either Ω is infinite or EndR(N) is itself a commutator ring.
openaire   +3 more sources

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

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

Commutant of Multiplication Operators in Weighted Bergman Spaces on Polydisk

open access: yes, 2020
We study a certain operator of multiplication by monomials in the weighted Bergman space both in the unit disk of the complex plane and in the polydisk of the n -dimensional complex plane. Characterization of the commutant of such operators is given.
A. Abkar
semanticscholar   +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

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

Translocality and a Duality Principle in Generally Covariant Quantum Field Theory [PDF]

open access: yes, 1999
It is argued that the formal rules of correspondence between local observation procedures and observables do not exhaust the entire physical content of generally covariant quantum field theory.
Bratteli O   +8 more
core   +3 more sources

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