Buchumschlag

On Decompositions of a Scalar Operator into a Sum of Self-Adjoint Operators with Finite Spectrum

We consider the problem of classification of nonequivalent representations of a scalar operator $λI$ in the form of a sum of $k$ self-adjoint operators with at most $n_1 , ...,n_k$ points in their spectra, respectively. It is shown that this problem is *-wild for some sets of spectra if $(n_1 , ...,...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2015
Hauptverfasser:	Rabanovych, V. I., Рабанович, В. І.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2015
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2016
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

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

On the Decomposition of an Operator into a Sum of Four Idempotents
von: Rabanovych, V. I., et al.
Veröffentlicht: (2004)

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

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

On the Decomposition of a Diagonal Operator into a Linear Combination of Idempotents or Projectors
von: Rabanovych, V. I., et al.
Veröffentlicht: (2005)

On the Perturbation of Self-Adjoint Operators with Absolutely Continuous Spectrum
von: A. N. Syrovatsky
Veröffentlicht: (2013)

On the Perturbation of Self-Adjoint Operators with Absolutely Continuous Spectrum
von: Syrovatsky, A.N.
Veröffentlicht: (2013)

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

On the Point Spectrum of Self-Adjoint Operators That Appears under Singular Perturbations of Finite Rank
von: Dudkin, M. Ye., et al.
Veröffentlicht: (2003)

Singular finite-rank nonsymmetric perturbations of a self-adjoint operator
von: Ye. Dudkin, et al.
Veröffentlicht: (2021)

Estimation of eigenvalues of self-adjoint operators
von: Yavorskii, Yu. M., et al.
Veröffentlicht: (1994)

Decomposition of a Hermitian matrix into a sum of a fixed number of orthoprojections
von: Rabanovich, V. I., et al.
Veröffentlicht: (2020)

On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II
von: Dymarskii, Ya. M., et al.
Veröffentlicht: (2001)

On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. I
von: Dymarskii, Ya. M., et al.
Veröffentlicht: (2001)

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

Invariant symmetric restrictions of a self-adjoint operator. II
von: Dudkin, M. Ye., et al.
Veröffentlicht: (1998)

Invariant symmetric restrictions of a self-adjoint operator. I
von: Dudkin, M. Ye., et al.
Veröffentlicht: (1998)

Behavior of the extended spectral measure of a self-adjoint operator at infinity
von: Gorbachuk, V. I., et al.
Veröffentlicht: (1997)

Operators of Generalized Translation and Hypergroups Constructed from Self-Adjoint Differential Operators
von: Kosyak, O. V., et al.
Veröffentlicht: (2005)

Representations of the additive group of a nuclear space in terms of self-adjoint operators
von: Lopotko, O. V., et al.
Veröffentlicht: (1999)

On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators
von: Gorbachuk, V. I., et al.
Veröffentlicht: (2000)

Theory of self-adjoint extensions of symmetric operators. entire operators and boundary-value problems
von: Gorbachuk, V. I., et al.
Veröffentlicht: (1994)

The spectral analysis of some not self-adjoint operator pencil with a discontinuous coefficient
von: G. D. Orudzhev, et al.
Veröffentlicht: (2014)

On Gevrais classes of certain self-adjoint differential operators with degeneration
von: Izvekov, I. G., et al.
Veröffentlicht: (1993)

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

Spectral analysis of self-adjoint momentum operators with nonlocal potentials
von: Dȩbowska, K., et al.
Veröffentlicht: (2026)

Singularly perturbed self-adjoint operators in scales of Hilbert spaces
von: Albeverio, S., et al.
Veröffentlicht: (2007)

Singularly perturbed self-adjoint operators in scales of Hilbert spaces
von: Kuzhel', S. A., et al.
Veröffentlicht: (2007)

Singular Perturbations of Self-Adjoint Operators Associated with Rigged Hilbert Spaces
von: Bozhok, R. V., et al.
Veröffentlicht: (2005)

Singular rank one non-symmetric perturbations of self-adjoint operator
von: T. I. Vdovenko, et al.
Veröffentlicht: (2015)

Expansion of a Self-Adjoint Absolutely Continuous Singular Integral Operator in Generalized Eigenvectors and Its Diagonalization
von: Vorob'ev, I. V., et al.
Veröffentlicht: (2003)

Self-Adjoint Operators Generated by Problems of Transmission with Inhomogeneous Conjugation Conditions
von: Komarenko, A. N., et al.
Veröffentlicht: (2001)

Adjoint operator existence and operator equations solvability
von: K. G. Dzjubenko
Veröffentlicht: (2016)

On the sum of narrow and finite-rank orthogonally additive operators
von: Humenchuk, H. I., et al.
Veröffentlicht: (2015)

Refinement of a Hardy–Littlewood–Pólya-type inequality for powers of self-adjoint operators in a Hilbert space
von: Bilichenko, R. O., et al.
Veröffentlicht: (2009)

On the sum of narrow and finite-rank orthogonally additive operators
von: H. I. Humenchuk
Veröffentlicht: (2015)

Conditions for absolute instability of solutions of difference equations with self-adjoint operator coefficients
von: Yu. Sliusarchuk, et al.
Veröffentlicht: (2019)

Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds
von: Antoniouk, A. Vict., et al.
Veröffentlicht: (1995)

Linear Combinations of the Volterra Dissipative Operator and Its Adjoint Operator
von: G. M. Gubreev, et al.
Veröffentlicht: (2013)

Linear Combinations of the Volterra Dissipative Operator and Its Adjoint Operator
von: Gubreev, G. M., et al.
Veröffentlicht: (2013)