Tretter, Christiane

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Number of items: 43.

Journal Article

Arlinskiĭ, Yury; Tretter, Christiane (2023). Maximal sectorial operators and invariant operator ranges. Journal of mathematical analysis and applications, 528(2), p. 127475. Elsevier 10.1016/j.jmaa.2023.127475

Gerhat, Borbala; Tretter, Christiane (2022). Pseudo Numerical Ranges and Spectral Enclosures. Complex analysis and operator theory, 16(6), p. 78. Springer 10.1007/s11785-022-01232-9

Hefti, Nicolas; Tretter, Christiane (2022). Essential numerical range and C-numerical range for unbounded operators. Studia mathematica, 264(3), pp. 305-333. Polish Academy of Sciences 10.4064/sm201231-16-9

Langer, Heinz; Tretter, Christiane (2021). Maximal J-semi-definite invariant subspaces of unbounded J-selfadjoint operators in Krein spaces. Journal of mathematical analysis and applications, 494(2), p. 124597. Elsevier 10.1016/j.jmaa.2020.124597

Arlinskiĭ, Yury; Tretter, Christiane (2020). Everything is possible for the domain intersection ${\rm dom}\,T\cap{\rm dom}\,T*$. Advances in mathematics, 374, p. 107383. Elsevier 10.1016/j.aim.2020.107383

Bögli, Sabine; Marletta, Marco; Tretter, Christiane (2020). The essential numerical range for unbounded linear operators. Journal of functional analysis, 279(1), p. 108509. Elsevier 10.1016/j.jfa.2020.108509

Boegli, Sabine; Tretter, Christiane (2020). Eigenvalues of magnetohydrodynamic mean-field dynamo models: bounds and reliable computation. SIAM journal on applied mathematics, 80(5), pp. 2194-2225. Society for Industrial and Applied Mathematics 10.1137/19M1286359

Brown, B. Malcolm; Langer, Heinz; Tretter, Christiane (2019). Compressed resolvents and reduction of spectral problems on star graphs. Complex analysis and operator theory, 13(1), pp. 291-320. Birkhäuser 10.1007/s11785-018-0793-6

Freitas, Pedro; Siegl, Petr; Tretter, Christiane (2018). The damped wave equation with unbounded damping. Journal of differential equations, 264(12), pp. 7023-7054. Elsevier 10.1016/j.jde.2018.02.010

Rasulov, Tulkin; Tretter, Christiane (2018). Spectral inclusion for unbounded diagonally dominant n × n operator matrices. Rocky Mountain journal of mathematics, 48(1), pp. 279-324. Rocky Mountain Mathematics Consortium 10.1216/RMJ-2018-48-1-279

Jacob, Birgit; Tretter, Christiane; Trunk, Carsten; Vogt, Hendrik (2018). Systems with strong damping and their spectra. Mathematical methods in the applied sciences, 41(16), pp. 6546-6573. Wiley 10.1002/mma.5166

Stefani, Frank; Tretter, Christiane (2018). On a spectral problem in magnetohydrodynamics and its relevance for the geodynamo. GAMM-Mitteilungen, 41(3), e201800012. Wiley 10.1002/gamm.201800012

Bögli, Sabine; Siegl, Petr; Tretter, Christiane (2017). Approximations of spectra of Schrödinger operators with complex potentials on ℝd. Communications in partial differential equations, 42(7), pp. 1001-1041. Taylor & Francis 10.1080/03605302.2017.1330342

Ibrogimov, Orif; Tretter, Christiane (2017). Essential spectrum of elliptic systems of pseudo-differential operators on L² (RN) ⊕ L²(RN). Journal of pseudo-differential operators and applications, 8(2), pp. 147-166. Springer 10.1007/s11868-017-0198-8

Engström, Christian; Langer, Heinz; Tretter, Christiane (2017). Rational eigenvalue problems and applications to photonic crystals. Journal of mathematical analysis and applications, 445(1), pp. 240-279. Elsevier 10.1016/j.jmaa.2016.07.048

Adamyan, V.; Langer, Heinz; Tretter, Christiane; Winklmeier, Monika (2016). Dirac-Krein systems on star graphs. Integral equations and operator theory, 86(1), pp. 121-150. Birkhäuser 10.1007/s00020-016-2311-4

Ibrogimov, Orif; Siegl, Petr; Tretter, Christiane (2016). Analysis of the essential spectrum of singular matrix differential operators. Journal of differential equations, 260(4), pp. 3881-3926. Elsevier 10.1016/j.jde.2015.10.050

Cuenin, Jean-Claude; Tretter, Christiane (2016). Non-symmetric perturbations of self-adjoint operators. Journal of mathematical analysis and applications, 441(1), pp. 235-258. Elsevier 10.1016/j.jmaa.2016.03.070

Tretter, Christiane; Wyss, Christian (2014). Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Journal of evolution equations, 14(1), pp. 121-153. Birkhäuser 10.1007/s00028-013-0210-6

Radl, Agnes; Tretter, Christiane; Wagenhofer, Markus (2014). The block numerical range of analytic operator functions. Operators and Matrices, 8(4), pp. 901-934. Element 10.7153/oam-08-51

Bögli, Sabine; Brown, B. Malcolm; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus (2014). Guaranteed resonance enclosures and exclosures for atoms and molecules. Proceedings of the Royal Socociety London. Series A Mathematical and Physical Sciences, 470(2171), 20140488, 17. 10.1098/rspa.2014.0488

Cuenin, Jean-Claude; Laptev, Ari; Tretter, Christiane (2014). Eigenvalue estimates for non-selfadjoint Dirac operators on the real line. Annales Henri Poincaré, 15(4), pp. 707-736. Springer 10.1007/s00023-013-0259-3

Pivovarchik, Vyacheslav; Rozhenko, Natalia; Tretter, Christiane (2013). Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings. Linear algebra and its applications, 439(8), pp. 2263-2292. Elsevier 10.1016/j.laa.2013.07.003

Marletta, Marco; Tretter, Christiane (2013). Spectral bounds and basis results for non-self-adjoint pencils, with an application to Hagen-Poiseuille flow. Journal of functional analysis, 264(9), pp. 2136-2176. Elsevier 10.1016/j.jfa.2013.02.008

Ibrogimov, Orif; Tretter, Christiane; Langer, Heinz; Langer, Matthias (2013). Essential spectrum of systems of singular differential equations. Acta Scientiarum Mathematicarum, 79(3-4), pp. 423-465. Bolyai Institute, University of Szeged

Tretter, Christiane (2010). The quadratic numerical range of an analytic operator function. Complex analysis and operator theory, 4(2), pp. 449-469. Basel: Birkhäuser 10.1007/s11785-009-0019-z

Günther, Uwe; Langer, Heinz; Tretter, Christiane (2010). On the Spectrum of the Magnetohydrodynamic Mean-Field $\alpha^2$-Dynamo Operator. SIAM journal on mathematical analysis, 42(3), pp. 1413-1447. Philadelphia, Pa.: Society for Industrial and Applied Mathematics SIAM 10.1137/100782024

Brown, B. Malcolm; Langer, Matthias; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus (2010). Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. LMS journal of computation and mathematics, 13, pp. 65-81. London: London Mathematical Society 10.1112/S1461157008000466

Tretter, Christiane (2009). Spectral inclusion for unbounded block opeerator matrices. Journal of functional analysis, 256(11), pp. 3806-3829. Amsterdam: Elsevier 10.1016/j.jfa.2008.12.024

Tretter, Christiane (2009). In memoriam Israel Gohberg (23.8.1928-12.10.2009). Integral equations and operator theory, 65(3), pp. 305-306. Basel: Birkhäuser 10.1007/s00020-009-1730-x

Langer, Heinz; Najman, Branko; Tretter, Christiane (2008). Spectral theory of the Klein-Gordon equation in Krein spaces. Proceedings of the Edinburgh Mathematical Society, 51(3), pp. 711-750. Cambridge: Cambridge University Press 10.1017/S0013091506000150

Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane (2008). The Virozub–Matsaev Condition and Spectrum of Definite Type for Self-adjoint Operator Functions. Complex analysis and operator theory, 2(1), pp. 99-134. Basel: Birkhäuser 10.1007/s11785-007-0032-z

Li, Chi-Kwong; Rodman, Leiba; Tretter, Christiane (2008). Preface and conference report. Linear and multilinear algebra, 56(1-2), pp. 1-2. Reading, UK: Taylor & Francis 10.1080/03081080701538074

Marletta, Marco; Tretter, Christiane (2007). Essential spectra of coupled systems of differential equations and applications in hydrodynamics. Journal of differential equations, 243(1), pp. 36-69. Orlando, Fla.: Elsevier 10.1016/j.jde.2007.09.002

Langer, Matthias; Tretter, Christiane (2006). Variational principles for eigenvalues of the Klein-Gordon equation. Journal of mathematical physics, 47(10), p. 103506. Melville, N.Y.: American Institute of Physics 10.1063/1.2345108

Langer, Heinz; Najman, Branko; Tretter, Christiane (2006). Spectral theory of the Klein-Gordon equation in Pontryagin spaces. Communications in mathematical physics, 267(1), pp. 159-180. Heidelberg: Springer 10.1007/s00220-006-0022-4

Book Section

Tretter, Christiane (2021). Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLS. In: Exner, Pavel; Frank, Rupert L.; Gesztesy, Fritz; Holden, Helge; Weidl, Timo (eds.) Partial differential equations, spectral theory, and mathematical physics. EMS Series of Congress Reports (pp. 445-456). European Mathematical Society 10.4171/ECR/18-1/26

Ibrogimov, Orif; Tretter, Christiane (2018). On the spectrum of an operator in truncated Fock space. In: Alpay, Daniel; Kirstein, Bernd (eds.) Indefinite inner product spaces, Schur analysis, and differential equations. Operator Theory: Advances and Applications: Vol. 263 (pp. 321-334). Cham: Birkhäuser/Springer

Denk, Robert; Möller, Manfred; Tretter, Christiane (2006). The spectrum of the multiplication operator associated with a family of operators in a Banach space. In: Förster, Karl-Heinz; Jonas, Peter; Langer, Heinz (eds.) Operator theory in Krein spaces and nonlinear eigenvalue problems. Operator Theory: Advances and Applications: Vol. 162 (pp. 103-116). Basel: Birkhäuser 10.1007/3-7643-7453-5_6

Book

Tretter, Christiane (2012). Analysis I. Basel: Birkhäuser

Tretter, Christiane (2008). Spectral theory of block operator matrices and applications. London: Imperial College Press

Journal or Series

Ball, Joseph A.; Dym, Harry; Kaashoek, Marinus A.; Langer, Heinz; Tretter, Christiane (eds.) (2016). Operator Theory: Advances and Applications. Birkhäuser/Springer

Tretter, Christiane (ed.) (2012). Integral Equations and Operator Theory. Birkhäuser

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