Cover Image

On a Banach algebra generated by the Bergman operator, constant coefficients, and finitely generated groups of shifts

We study a Banach algebra generated by the Bergman operator, constant coefficients, and shifts formed by finitely generated commutative groups of hyperbolic transformations of the unit disk acting in the Lebesgue space $L_p, p > 1$, and obtain an effective criterion for the operators from the...

Full description

Saved in:

Bibliographic Details
Date:	2017
Main Authors:	Mozel’, V. A., Мозель, В. А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2017
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1799
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Banach algebra generated by a finite number of bergman polykernel operators, continuous coefficients, and a finite group of shifts
by: Mozel’, V. A., et al.
Published: (2010)

On a Banach algebra generated by the Bergman operator, constant coefficients, and finitely generated groups of shifts
by: V. A. Mozel
Published: (2017)

On the $C^{*}$-Algebra Generated by the Bergman Operator, Carleman Second-Order Shift, and Piecewise Continuous Coefficients
by: Mozel’, V. A., et al.
Published: (2015)

Algebra of Bergman Operators with Automorphic Coefficients and Parabolic Group of Shifts
by: Mozel’, V. A., et al.
Published: (2001)

On the C*-Algebra Generated by the Bergman Operator, Carleman Second-Order Shift, and Piecewise Continuous Coefficients
by: V. A. Mozel
Published: (2015)

Bounded solutions of difference equations in a Banach space with asymptotically constant operator coefficient
by: A. V. Chaikovskyi, et al.
Published: (2021)

On verbal subgroups of finitely generated nilpotent groups
by: Bier, A.
Published: (2009)

Representations of a Group of Linear Operators in a Banach Space on the Set of Entire Vectors of its Generator
by: Gorbachuk, V. M., et al.
Published: (2015)

Representations of a Group of Linear Operators in a Banach Space on the Set of Entire Vectors of its Generator
by: V. M. Horbachuk, et al.
Published: (2015)

Finite-dimensionality and growth of algebras specified by polylinearly interrelated generators
by: Redchuk, I. K., et al.
Published: (2005)

On the primitive irreducible representations of finitely generated nilpotent groups
by: Tushev, A.V.
Published: (2021)

Sets of prime power order generators of finite groups
by: Stocka, A.
Published: (2020)

On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
by: Zavodovskii, M. V., et al.
Published: (2004)

On the primitive irreducible represen tations of finitely generated nilpotent groups
by: A. V. Tushev
Published: (2021)

Singly generatedC *-algebras
by: Rabanovych, V. I., et al.
Published: (1999)

Boundary value problems with finite groups of Lipschitz shifts
by: Yu. I. Karlovich
Published: (2013)

Two-generated graded algebras
by: Shirikov, E.N.
Published: (2005)

On C*-Algebras Generated by Deformations of CCR
by: Kabluchko, Z. A., et al.
Published: (2004)

Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. I
by: Ignatenko, V. F., et al.
Published: (1998)

Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. II
by: Ignatenko, V. F., et al.
Published: (1998)

Diametral theory of algebraic surfaces and geometric theory of invariants of groups generated by reflections. III
by: Ignatenko, V. F., et al.
Published: (1998)

A 2-generated 2-related group with no non-trivial finite quotients
by: Ol’shanskii, A. Yu., et al.
Published: (2018)

A 2-generated 2-related group with no non-trivial finite quotients
by: Ol’shanskii, A.Yu., et al.
Published: (2007)

On the identities in algebras generated by linearly connected idempotents
by: Rabanovych, V. I., et al.
Published: (2004)

Exponentially dichotomous difference equations with piecewise constant operator coefficients
by: Slyusarchuk, V. Yu., et al.
Published: (2020)

On semisimple algebra codes: generator theory
by: Martınez-Moro, Edgar
Published: (2018)

On semisimple algebra codes: generator theory
by: Martınez-Moro, E.
Published: (2007)

On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors
by: Popovich, S. V., et al.
Published: (2003)

Thin systems of generators of groups
by: Lutsenko, I.
Published: (2010)

Банахова алгебра, порожденная конечным числом поликерноператоров Бергмана, непрерывными коэффициентами и конечной группой сдвигов
by: Мозель, В.А.
Published: (2010)

C* -алгебре, порожденной оператором Бергмана, карлемановским сдвигом второго порядка и кусочно-непрерывными коэффициентами
by: Мозель, В.А.
Published: (2015)

Exponentially dichotomous difference equations with piecewise constant operator coefficients
by: Yu. Sliusarchuk
Published: (2020)

On representations of the algebras generated by a finite resolution of the identity and a collection of jointly orthogonal projections
by: E. N. Ashurova, et al.
Published: (2017)

Minimal generating sets and Cayley graphs of Sylow \(p\)-subgroups of finite symmetric groups
by: Slupik, Anna J., et al.
Published: (2018)

Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
by: Slupik, A.J., et al.
Published: (2009)

DEVELOPMENT AND APPLICATION OF THE ADJUSTABLE LOAD SHARING COEFFICIENTS METHOD FOR LOAD SHARING CONTROL BETWEEN PARALLEL OPERATING GENERATORS IN ISOLATED POWER GENERATION SYSTEMS
by: Mazurenko , L., et al.
Published: (2025)

On Identities in Algebras $Q_{n,λ}$ Generated by Idempotents
by: Rabanovych, V. I., et al.
Published: (2001)

On coxeter functors for some classes of algebras generated by idempotents
by: Kruhlyak, S. A., et al.
Published: (2004)

Group of units of finite group algebras of groups of order 24
by: M. Sahai, et al.
Published: (2023)

Group of units of finite group algebras of groups of order 24
by: Sahai, M., et al.
Published: (2023)