Cover Image

Generalization of the Lidskii theorem on the localization of the spectrum of a product of Hermitian operators

We consider productsC=AB of Hermitian operators in ann-dimensional unitary space. Two equivalent localization theorems are proved in the case where one of the factorsA andB is positive definite.

Saved in:

Bibliographic Details
Date:	1999
Main Authors:	Shvartsman, P. A., Шварцман, П. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4687
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

On generalized resolvents of Hermitian operators in Krein spaces
by: Derkach, V. A., et al.
Published: (1994)

On local operators diagonal with respect to the system of Hermitian polynomials
by: Pilipenko, A. Yu., et al.
Published: (1995)

On the Spectrum of a Discrete Non-Hermitian Quantum System
by: Ergun, E.
Published: (2009)

On the formula of generalized resolvents of a non-densely defined Hermitian operator
by: Malamud , M. M., et al.
Published: (1992)

Обобщение теоремы Лидского о локализации спектра произведения эрмитовых операторов
by: Шварцман, П.А.
Published: (1999)

Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds
by: Garcia-Pulido, A.L., et al.
Published: (2017)

Certain classes for expansions of the Hermitian operator with gaps
by: Malamud , M. M., et al.
Published: (1992)

Space boundary values and correct expansions of the Hermitian operators
by: Kuzhel, S. A., et al.
Published: (1990)

Characteristic functions of almost soluble expansion of the Hermitian operators
by: Derkach , V. A., et al.
Published: (1992)

Generalized Weyl theorem and tensor product
by: Rashid, M.H.M.
Published: (2012)

Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
by: Ivasiuk, I.Ya
Published: (2009)

Commutating self-conjugate expansion of the system of Hermitian operators
by: Bokhonov , Yu. E., et al.
Published: (1988)

Resolutions of Identity for Some Non-Hermitian Hamiltonians. I. Exceptional Point in Continuous Spectrum
by: Andrianov, A.A., et al.
Published: (2011)

Generalized Weyl's theorem and tensor product
by: Rashid, M. H. M., et al.
Published: (2012)

Existence Theorems for Generalized Moment Representations
by: Holub, A. P., et al.
Published: (2003)

Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
by: Grama, Lino, et al.
Published: (2021)

On the Spectrum of an Equivariant Extension of the Laplace Operator in a Ball
by: Burskii, V. P., et al.
Published: (2000)

Structure of Binary Darboux-Type Transformations for Hermitian Adjoint Differential Operators
by: Prykarpatsky, A. K., et al.
Published: (2004)

On the generalization of the Newton–Kantorovich theorem for nonlinear operator equations
by: Chuiko, S., et al.
Published: (2026)

Strengthened Berezansky's theorem on the tensor product of operators
by: Kachanovsky, N., et al.
Published: (2026)

A generalization of the Lindelöf theorem
by: Zabolotskii, N. V., et al.
Published: (1998)

Theorems on decomposition of operators in L1 and their generalization to vector lattices
by: Maslyuchenko, O. V., et al.
Published: (2006)

Mode Stability of Hermitian Instantons
by: Andersson, Lars, et al.
Published: (2025)

A Note on the Spectrum of Magnetic Dirac Operators
by: Charalambous, Nelia, et al.
Published: (2023)

A generalization of the rogosinski-rogosinski theorem
by: Dekanov, S. Ya., et al.
Published: (2000)

Generalization of the Mukhamadiev theorem on the invertibility of functional operators in the space of bounded functions
by: Slyusarchuk, V. Yu., et al.
Published: (2008)

Reversion of linear operators disturbed on the spectrum
by: Plotkin, Ya. D., et al.
Published: (1971)

On continuous spectrum of transport operator
by: Cheremnikh, E.V., et al.
Published: (2010)

Localization of the spectrum and representation of solutions of linear dynamical systems
by: Mazko, A. G., et al.
Published: (1998)

Localization of spectrum and stability of certain classes of dynamical systems
by: Mazko, A. G., et al.
Published: (1996)

Existence theorems for multidimensional generalized moment representations
by: Veselovska, G.M., et al.
Published: (2017)

Faster than Hermitian Time Evolution
by: Bender, C.M.
Published: (2007)

On the singularity of representations of Hermitian indefinite functions and sequences
by: Gorbachuk, V. I., et al.
Published: (1966)

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)

Schrödinger Operators with Purely Discrete Spectrum
by: Simon, B.
Published: (2009)

Limiting theorem for the parametrical stochastic operator systems
by: Butsan , G. P., et al.
Published: (1988)

Point Spectrum of Singularly Perturbed Self-Adjoint Operators
by: Konstantinov, A. Yu., et al.
Published: (2005)

Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
by: Jana, T.K., et al.
Published: (2009)

Decomposition of a Hermitian matrix into a sum of a fixed number of orthoprojections
by: V. I. Rabanovych
Published: (2020)