T. Ya. Azizov, V. K. Kiriakidi, G. A. Kurina, “An Indefinite Approach to the Reduction of a Nonnegative Hamiltonian Operator Function to a Block Diagonal Form”, Funktsional. Anal. i Prilozhen., 35:3 (2001), 73–75; Funct. Anal. Appl., 35:3 (2001), 220

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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 3, Pages 73–75
DOI: https://doi.org/10.4213/faa260 (Mi faa260)

This article is cited in 14 scientific papers (total in 14 papers)

Brief communications

An Indefinite Approach to the Reduction of a Nonnegative Hamiltonian Operator Function to a Block Diagonal Form

T. Ya. Azizov^a, V. K. Kiriakidi^b, G. A. Kurina^c

^a Voronezh State University
^b Voronezh Higher Institute of Aviation Engineering
^c Voronezh State Academy of Forestry Engineering

Full-text PDF (123 kB) Citations (14)

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DOI: https://doi.org/10.4213/faa260

Received: 29.08.2000
Revised: 02.04.2001

English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 3, Pages 220–221
DOI: https://doi.org/10.1023/A:1012331029364

Bibliographic databases:

Document Type: Article

UDC: 517.983.24

Language: Russian

Citation: T. Ya. Azizov, V. K. Kiriakidi, G. A. Kurina, “An Indefinite Approach to the Reduction of a Nonnegative Hamiltonian Operator Function to a Block Diagonal Form”, Funktsional. Anal. i Prilozhen., 35:3 (2001), 73–75; Funct. Anal. Appl., 35:3 (2001), 220–221

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa260

https://doi.org/10.4213/faa260

https://www.mathnet.ru/eng/faa/v35/i3/p73

This publication is cited in the following 14 articles:

Li L., Chen A., Wu D.Yu., “Symplectic Self-Adjointness of Infinite Dimensional Hamiltonian Operators”, Acta. Math. Sin.-English Ser., 34:9 (2018), 1473–1484
J. Huang, J. Liu, A. Chen, “Symmetry of the Quadratic Numerical Range and Spectral Inclusion Properties of Hamiltonian Operator Matrices”, Math. Notes, 103:6 (2018), 1007–1013
Chen A., Jin GuoHai, Wu Deyu, “On Symplectic Self-Adjointness of Hamiltonian Operator Matrices”, Sci. China-Math., 58:4 (2015), 821–828
利君闫, “Imaginary Axis Symmetry of the Point Spectrum of the Diagonal Infinite Dimensional Hamiltonian Operators”, AAM, 04:04 (2015), 307
Jin G.H., Hou G.L., Chen A., Wu D.Yu., “On Invertible Nonnegative Hamiltonian Operator Matrices”, Acta. Math. Sin.-English Ser., 30:10 (2014), 1763–1774
Huang J., Guo X., Huang Y., Alatancang, “Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators”, Algebr. Colloq., 20:3 (2013), 395–402
Azizov T.Ya., Dijksma A., Gridneva I.V., “Conditional Reducibility of Certain Unbounded Nonnegative Hamiltonian Operator Functions”, Integr. Equ. Oper. Theory, 73:2 (2012), 273–303
Wu D., Chen A., “Invertibility of nonnegative Hamiltonian operator with unbounded entries”, J Math Anal Appl, 373:2 (2011), 410–413
Alatancang, Huang JunJie, Fan XiaoYing, “Structure of the spectrum of infinite dimensional Hamiltonian operators”, Sci. China Ser. A, 51:5 (2008), 915–924
M. G. Dmitriev, G. A. Kurina, “Singular perturbations in control problems”, Autom. Remote Control, 67:1 (2006), 1–43
G. A. Kurina, S. S. Shchekunskikh, “Asymptotics of the solution to a liner-quadratic periodic problem with a singular matrix perturbation in the performance index”, Comput. Math. Math. Phys., 45:4 (2005), 579–592
G. A. Kurina, S. S. Shchekunskikh, “Asymptotic Solution of a Nonlinear Periodic Optimal Control Problem Whose State Equation Involves a Singular Matrix Perturbation”, Differ. Equ., 41:10 (2005), 1403–1416
G. A. Kurina, G. V. Martynenko, “Reducibility of a Class of Operator Functions to Block-Diagonal Form”, Math. Notes, 74:5 (2003), 744–748
Azizov T.Ya., Dijksma A., Gridneva I.V., “On the boundedness of Hamiltonian operators”, Proc. Amer. Math. Soc., 131:2 (2003), 563–576

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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