Cover Image

Scalar operators equal to the product of unitary roots of the identity operator

We study the set of all $\gamma \in \mathbb{C}$ for which there exist unitary operators $U_i$ such that $U_1U_2 ... U_n = \gamma I$ and $U_i^{m_i} = I$, where $m_i \in \mathbb{N}$ are given.

Saved in:

Bibliographic Details
Date:	2012
Main Authors:	Samoilenko, Yu. S., Yakymenko, D. Yu., Самойленко, Ю. С., Якименко, Д. Ю.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2619
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

Scalar Operators Representable as a Sum of Projectors
by: Rabanovych, V. I., et al.
Published: (2001)

Unitarization of Schur representations of a partially ordered set associated with $\widetilde{E}_7$
by: Yakymenko, D. Yu., et al.
Published: (2010)

Unitarization of representations of a partially ordered set associated with a graph $\tilde{E}_6$
by: Yakymenko, D. Yu., et al.
Published: (2009)

Triangular models of commutative systems of linear operators close to unitary operators
by: R. Hatamleh, et al.
Published: (2016)

Triangular models of commutative systems of linear operators close to unitary operators
by: Hatamleh, R., et al.
Published: (2016)

On tensor products of unitary representations $SL_3(R)$
by: Neretin , Yu. A., et al.
Published: (1988)

Abstract Characteristic of the Class of Unitary Positional Algebras of Operations
by: Sokhats’kyi, F. M., et al.
Published: (2002)

On indecomposable and transitive systems of subspaces
by: Yakymenko, D. Yu., et al.
Published: (2007)

Скалярные операторы, равные произведению унитарных корней из единичного оператора
by: Самойленко, Ю.С., et al.
Published: (2012)

On pairs of unbounded self-adjoint operators satisfying an algebraic relation
by: Ostrovskii, V. L., et al.
Published: (1993)

Regularization Operators in a Problem of Scalar Diffraction by Conical Surfaces
by: Kuryliak, D. B.
Published: (2013)

On Decompositions of a Scalar Operator into a Sum of Self-Adjoint Operators with Finite Spectrum
by: V. I. Rabanovych
Published: (2015)

On Decompositions of a Scalar Operator into a Sum of Self-Adjoint Operators with Finite Spectrum
by: Rabanovych, V. I., et al.
Published: (2015)

Application of the projectional spectral theorem to non-commutating operators families
by: Ostrovsky , V. L., et al.
Published: (1988)

Vertex operator representations of type Cl⁽¹⁾ and product-sum identities
by: Li-Meng, Xia, et al.
Published: (2014)

Equations in a Hilbert space whose solution sets are invariant with respect to a group isomorphic to a one-parameter group of unitary operators
by: Slyusarchuk, V. Yu., et al.
Published: (2020)

Kato inequality for operators with infinitely many separated variables
by: Samoilenko, V. G., et al.
Published: (1999)

On conditions under which the sum of self-adjoint operators with given integer spectra is a scalar operator
by: Hrushevoi, R. V., et al.
Published: (2008)

On approximate calculation of scalar products
by: Babenko, V. F., et al.
Published: (1987)

OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
by: Kaliberda, M. E., et al.
Published: (2018)

Operator Method in the Scalar Wave Diffraction by Axially-Symmetric Discontinuities in the Screen
by: M. E. Kaliberda, et al.
Published: (2018)

On scalar-type spectral operators and Carleman ultradifferentiable C0-semigroups
by: Markin, M. V., et al.
Published: (2008)

Eigen-functions decomposition of commutated operators’ families and representations of commutational relations
by: Berezansky, Yu. M., et al.
Published: (1987)

Minimality of root vectors of operator functions analytic in an angle
by: Radzievskii, G. V., et al.
Published: (1994)

Equivalence of almost root vectors of polynomial beams of operators
by: Radzievsky , G. V., et al.
Published: (1992)

Vertex Operator Representations of Type $C_l^{(1)}$ and Product-Sum Identities
by: Hu, Naihong, et al.
Published: (2014)

On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field
by: Samoilenko, V. G., et al.
Published: (2004)

Characterization of clones of boolean operations by identities
by: Butkote, Runglawan, et al.
Published: (2018)

Characterization of clones of boolean operations by identities
by: Butkote, R., et al.
Published: (2007)

On the best approximations and rate of convergence of decompositions in the root vectors of an operator
by: Radzievskii, G. V., et al.
Published: (1997)

Унитаризация шуровских представлений частично упорядоченного множества, которое соответствует Ẽ₇
by: Якименко, Д.Ю.
Published: (2010)

Про нерозкладні та транзитивні системи підпросторів
by: Якименко, Д.Ю.
Published: (2007)

On spectral theorems for families of linearly connected self-adjoint operators with given spectra associated with extended Dynkin graphs
by: Ostrovskii, V. L., et al.
Published: (2006)

Product Inequalities for ⋊-Stabilized Scalar Curvature
by: Gromov, Misha
Published: (2024)

On an analytical consequence of the condition of unitariness
by: Parasyuk, O. S., et al.
Published: (1966)

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

Commutants of some classes of operators associated with shift operators
by: Linchuk, Yu. S., et al.
Published: (2007)

On the order of convergence of a semigroup to the identity operator
by: Hrushka, Ya. I., et al.
Published: (1996)

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

Equations in a Hilbert space whose sets of solutions are invariant with respect to a group isomorphic to a one-parameter group of unitary operators
by: Yu. Sliusarchuk
Published: (2020)