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Статті в журналах з теми "Non-Selfadjoint operator":
Kukushkin, M. V. "Замечание о спектральной теореме для неограниченных несамосопряженных операторов". Вестник КРАУНЦ. Физико-математические науки, № 2 (25 вересня 2022): 42–61. http://dx.doi.org/10.26117/2079-6641-2022-39-2-42-61.
Donsig, Allan P., and S. C. Power. "The Failure of Approximate Inner Conjugacy for Standard Diagonals in Regular Limit Algebras." Canadian Mathematical Bulletin 39, no. 4 (December 1, 1996): 420–28. http://dx.doi.org/10.4153/cmb-1996-050-5.
Pelloni, B., and D. A. Smith. "Spectral theory of some non-selfadjoint linear differential operators." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2154 (June 8, 2013): 20130019. http://dx.doi.org/10.1098/rspa.2013.0019.
Kukushkin, Maksim V. "On One Method of Studying Spectral Properties of Non-selfadjoint Operators." Abstract and Applied Analysis 2020 (September 1, 2020): 1–13. http://dx.doi.org/10.1155/2020/1461647.
Dong, Aiju, and Chengjun Hou. "On some maximal non-selfadjoint operator algebras." Expositiones Mathematicae 30, no. 3 (2012): 309–17. http://dx.doi.org/10.1016/j.exmath.2012.08.001.
Zhao, Junxi. "On invertibility in non-selfadjoint operator algebras." Proceedings of the American Mathematical Society 125, no. 1 (1997): 101–9. http://dx.doi.org/10.1090/s0002-9939-97-03645-9.
Holubová, G., and P. Nečesal. "Nontrivial Fučík spectrum of one non-selfadjoint operator." Nonlinear Analysis: Theory, Methods & Applications 69, no. 9 (November 2008): 2930–41. http://dx.doi.org/10.1016/j.na.2007.08.066.
Ryzhov, Vladimir. "Functional Model of a Closed Non-Selfadjoint Operator." Integral Equations and Operator Theory 60, no. 4 (March 13, 2008): 539–71. http://dx.doi.org/10.1007/s00020-008-1574-9.
Hou, Chengjun, and Cuiping Wei. "Completely bounded cohomology of non-selfadjoint operator algebras." Acta Mathematica Scientia 27, no. 1 (January 2007): 25–33. http://dx.doi.org/10.1016/s0252-9602(07)60003-4.
Bairamov, E., E. K. Arpat, and G. Mutlu. "Spectral properties of non-selfadjoint Sturm–Liouville operator with operator coefficient." Journal of Mathematical Analysis and Applications 456, no. 1 (December 2017): 293–306. http://dx.doi.org/10.1016/j.jmaa.2017.07.001.
Дисертації з теми "Non-Selfadjoint operator":
Torshage, Axel. "Non-selfadjoint operator functions." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-143085.
Kastis, Eleftherios Michail. "Non-selfadjoint operator algebras generated by unitary semigroups." Thesis, Lancaster University, 2017. http://eprints.lancs.ac.uk/88135/.
Nath, Jiban Kumar. "Spectral theory of non-selfadjoint operators." Thesis, King's College London (University of London), 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.271218.
Saboormaleki, Mahmood. "Spectral analysis of non-selfadjoint differential operators." Thesis, Sheffield Hallam University, 1998. http://shura.shu.ac.uk/20306/.
CAVALCANTI, ANDRE ZACCUR UCHOA. "RESULTS OF AMBROSETTI-PRODI TYPE FOR NON-SELFADJOINT ELLIPTIC OPERATORS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33600@1.
COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO
PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO
O célebre teorema de Ambrosetti-Prodi estuda perturbações do Laplaciano sob condições de Dirichlet por funções não lineares que saltam sobre o autovalor principal do operador. Diversas extensões desse resultado foram obtidos para operadores auto-adjuntos, em particular por Berger-Podolak em 1975, que deram uma descrição geométrica do conjunto solução. Nós empregamos técnicas baseadas no princípio do máximo que nos permite obter novos resultados inclusive para o cenário auto-adjunto. Em particular, nós mostramos que o operador semi-linear é uma dobra global. Obtemos também uma contagem exata de soluções para esses operadores ainda quando a perturbação não é suave.
The celebrated Ambrosetti-Prodi theorem studies perturbations of the Dirichlet Laplacian by a nonlinear function jumping over the principal eigenvalue of the operator. Various extensions of this landmark result were obtained for self-adjoint operators, in particular by Berger-Podolak in 1975, who gave a geometrical description of the solution set. In this thesis we show that similar theorems are valid for non self-adjoint operators. We employ techniques based on the maximum principle, which even let us obtain new results in the self-adjoint setting. In particular, we show that the semilinear operator is a fold. As a consequence, we obtain exact count of solutions for these operators even when the perturbation is non-smooth.
Al, Sheikh Lamis. "Scattering resonances and Pseudospectrum : stability and completeness aspects in optical and gravitational systems." Electronic Thesis or Diss., Bourgogne Franche-Comté, 2022. http://www.theses.fr/2022UBFCK007.
The general context of this thesis is an effort to establish a bridge between gravitational andoptical physics, specifically in the context of scattering problems using as a guideline concepts andtools taken from the theory of non-self-adjoint operators. Our focus is on Quasi-Normal Modes(QNMs), namely the natural resonant modes of open leaky structures under linear perturbationssubject to outgoing boundary conditions. They also are referred to as scattering resonances.In the conservative self-adjoint case the spectral theorem guarantees the completeness andspectral stability of the associated normal modes. In this sense, a natural question in the non-self-adjoint setting refers to the characterization and assessment of appropriate notions of QNMcompleteness and spectral stability in open non-conservative systems. This defines the generalobjective of this thesis. To this aim, and in contrast with the traditional approach to scatter-ing resonances, we adopt a methodology in which QNMs are cast as a spectral problem of anappropriate non-self-adjoint operator. Specifically this methodology is based on following threeingredients:(i) Hyperboloidal approach: The hyperboloidal slicing approach is already used in gravitationalproblems, we introduced it here to optical ones. The idea is to study the wave equationin hyperbolic slices instead of usually used Cauchy slices. The system of coordinates ismore adapted to the problem of QNMs and its outgoing boundary conditions, in particularaddressing the exploding modes in the Cauchy approach. The modes are normalizable insuch coordinates and working in these slices eliminate the need of imposing the outgoingboundary conditions.(ii) Pseudospectrum of an operator: the notion of epsilon-pseudospectrum allows to assess the (in)stabilityof eigenvalues of an operator in the complex plane due to a perturbation to the operator oforder epsilon. This thesis introduces the notion of pseudospectrum in gravitational and opticalphysics in the vicinity of the eigenvalues.(iii) Numerical Chebyshev spectral methods: On the technical level, spectral methods providesan efficient tool when translating the problem into a numerical one. In particular we usedChebyshev basis to expand our fields.The results of this work touch three areas:(i) The instability of QNMs for some class of potentials. The fundamental modes are stablespecially under small "high frequency" perturbations, whereas overtones are sensitive tosuch perturbations. The instability of the overtones increases as their imaginary part grows.(ii) The universality of the asymptotic behaviour of QNMs and pseudospectrum. We remarkan asymptotically logarithmic behavior of pseudospectrum contour lines and bounding theopening QNMs branches from below.(iii) QNMs expansion. We revisit Lax & Phillips asymptotic resonant expansions of a "scattered field" in terms of QNMs in our physical settings. In particular , we make use of Keldysh expansion of the generalizations of the expressions for normal modes of conservative systems, specifically in terms of normalizable QNM eigenfunctions and explicit expressions for the excitation coefficients
Henry, Raphaël. "Spectre et pseudospectre d'opérateurs non-autoadjoints." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00924425.
Alphonse, Paul. "Régularité des solutions et contrôlabilité d'équations d'évolution associées à des opérateursnon-autoadjoints." Thesis, Rennes 1, 2020. http://www.theses.fr/2020REN1S003.
The subject of this thesis deals with the sharp microlocal study of the smoothing and decreasing properties of evolution equations associated with two classes of non-selfadjoint operators with applications to the study of their subelliptic properties and to the null-controllability of these equations. The first class is composed of non-local operators given by the Ornstein-Uhlenbeck operators defined as the sum of a fractional diffusion and a linear transport operator. The second class is the class of accretive quadratic differential operators given by the Weyl quantization of complex-valued quadratic forms defined on the phase space with non-negative real parts. The aim of this work is to understand how the possible non-commutation phenomena between the self-adjoint and the skew-selfadjoint parts of these operators allow the associated semigroups to enjoy smoothing and decreasing properties in specific directions of the phase space that are explicitly described
Ramsey, Christopher. "Maximal ideal space techniques in non-selfadjoint operator algebras." Thesis, 2013. http://hdl.handle.net/10012/7464.
Hansmann, Marcel. "Eigenvalues of compactly perturbed linear operators." 2018. https://monarch.qucosa.de/id/qucosa%3A23447.
Книги з теми "Non-Selfadjoint operator":
Lerner, Nicolas. Metrics on the phase space and non-selfadjoint pseudo-differential operators. Basel: Birkhäuser, 2010.
Bagarello, Fabio, Jean Pierre Gazeau, Franciszek Hugon Szafraniec, and Miloslav Znojil, eds. Non-Selfadjoint Operators in Quantum Physics. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118855300.
Lerner, Nicolas. Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8510-1.
Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. Providence, Rhode Island: American Mathematical Society, 2015.
Agranovich, M. S. Non-selfadjoint Elliptic Operators. Springer-Verlag, 2007.
Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects. Wiley, 2015.
Gazeau, Jean-Pierre, Fabio Bagarello, Franciszek Hugon Szafraniec, and Miloslav Znojil. Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects. Wiley & Sons, Incorporated, John, 2015.
Gazeau, Jean-Pierre, Fabio Bagarello, Franciszek Hugon Szafraniec, and Miloslav Znojil. Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects. Wiley & Sons, Limited, John, 2015.
Gazeau, Jean-Pierre, Fabio Bagarello, Franciszek Hugon Szafraniec, and Miloslav Znojil. Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects. Wiley & Sons, Incorporated, John, 2015.
Zolotarev, V. A. Analytic Methods of Spectral Representations of Non- Selfadjoint (Non-Unitary) Operators. PH “Akademperiodyka”, 2020. http://dx.doi.org/10.15407/akademperiodika.421.433.
Частини книг з теми "Non-Selfadjoint operator":
Sakhnovich, L. "Weyl-Titchmarsh Matrix Functions and Spectrum of Non-selfadjoint Dirac Type Equation." In Current Trends in Operator Theory and its Applications, 539–51. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0348-7881-4_24.
Artamonov, Nikita. "Exponential Decay of Semigroups for Second-order Non-selfadjoint Linear Differential Equations." In Recent Progress in Operator Theory and Its Applications, 1–10. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0346-5_1.
Sakhnovich, Alexander L. "GBDT of discrete skew-selfadjoint Dirac systems and explicit solutions of the corresponding non-stationary problems." In Operator Theory, Analysis and the State Space Approach, 389–98. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04269-1_15.
Seifert, Christian, Sascha Trostorff, and Marcus Waurick. "Evolutionary Inclusions." In Evolutionary Equations, 275–97. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-89397-2_17.
Lerner, Nicolas. "Estimates for Non-Selfadjoint Operators." In Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators, 161–286. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8510-1_3.
Bagarello, F., J. P. Gazeau, F. Szafraniec, and M. Znojil. "Introduction." In Non-Selfadjoint Operators in Quantum Physics, 1–6. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118855300.ch0.
Znojil, Miloslav. "Non-self-adjoint operators in quantum physics: ideas, people, and trends." In Non-Selfadjoint Operators in Quantum Physics, 7–58. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118855300.ch1.
Szafraniec, Franciszek Hugon. "Operators of the quantum harmonic oscillator and its relatives." In Non-Selfadjoint Operators in Quantum Physics, 59–120. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118855300.ch2.
Bagarello, Fabio. "Deformed Canonical (anti-)commutation relations and non-self-adjoint hamiltonians." In Non-Selfadjoint Operators in Quantum Physics, 121–88. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118855300.ch3.
Caliceti, Emanuela, and Sandro Graffi. "Moyal brackets and the Weyl quantization." In Non-Selfadjoint Operators in Quantum Physics, 189–240. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118855300.ch4.
Тези доповідей конференцій з теми "Non-Selfadjoint operator":
Kirillov, Oleg N., and Alexander P. Seyranian. "Bifurcation of Eigenvalues of Nonselfadjoint Differential Operators in Nonconservative Stability Problems." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28076.