Tübingen, den 16.02.2010 List of Publications [1] Idealtheorie in

Tübingen, den 16.02.2010 List of Publications [1] Idealtheorie in

Mathematische Fakultät
Arbeitsbereich Funktionalanalysis
Prof. Dr. R. Nagel
Tübingen, den 16.02.2010
List of Publications
[1] Idealtheorie in geordneten lokalkonvexen Vektorräumen. Dissertation, Tübingen 1969.
[2] Ideals in ordered locally convex spaces. Math. Scand. 29, 259–271 (1971).
[3] Abstract dynamical systems with an application to operators with discrete
spectrum. Archiv Math. 23, 170–176 (1972). (with M. Wolff)
[4] Darstellung von Verbandsoperatoren auf Banachverbänden. Revista Academia Ciencias, Zaragoza 27, 281–288 (1972).
[5] Integraldarstellung regulärer Operatoren auf Banachverbänden. Math. Z.
127, 293–300 (1972). (with U. Schlotterbeck)
[6] Beiträge zur Theorie der Banachverbände. Habilitationsschrift. Tübingen
1972.
[7] Kompaktheit von Integraloperatoren auf Banachverbänden. Math. Annalen
202, 301–306 (1973). (with U. Schlotterbeck)
[8] A Stone-Weierstrass theorem for Banach lattices. Studia Math. 47, 75–82
(1973).
[9] Ordnungsstetigkeit in Banachverbänden. Manuscripta Math. 9, 9–27 (1973).
[10] Mittelergodische Halbgruppen linearer Operatoren. Annales Institut Fourier, Grenoble 23, 75–87 (1973).
[11] Duality of cones in locally convex spaces. In: Foundations of Quantum Mechanics and Ordered Linear Spaces. Lecture Notes in Physics 29, 11–22.
Springer-Verlag 1974. (with J. Mangold)
[12] Order unit and base norm spaces. In: Lecture Notes in Physics 29, 23–29.
Springer-Verlag 1974.
[13] Mean ergodic semigroups and invariant ideals in ordered Banach spaces. In:
Lecture Notes in Physics 29, 309–315. Springer-Verlag 1974.
1
[14] Zur Approximation kompakter Operatoren durch Operatoren endlichen Ranges. Archiv Math. 25, 514–515 (1974). (mit U. Schlotterbeck).
[15] Ergodic and mixing properties of linear operators. Proc. Royal Irish Acad.
74, 245–261 (1974).
[16] Dilations of positive operators: Construction and ergodic theory. Math. Z.
156, 265–277 (1977). (with M. Kern, G. Palm)
[17] Mean ergodic semigroups on W∗ -algebras. Acta Sci. Math. 41, 151–159
(1979). (with B. Kümmerer)
[18] Der Generator stark stetiger Verbandshalbgruppen auf C(X) und dessen
Spektrum. Math. Ann. 245, 1–16 (1979). (with R. Derndinger)
[19] An abstract Kato inequality for generators of positive operator semigroups
on Banach lattices. J. Operator Theory 6, 113–123 (1981). (with H. Uhlig)
[20] Les semigroupes d’opérateurs positifs et leur générateur. Séminaire ’Initiation à l’Analyse’, Paris 1980/81. Exposé 2.
[21] Lattice dilations of positive contractions on Lp -spaces. Canadian J. Math.
25, 371–372 (1982). (with G. Palm)
[22] La loi ’zéro ou deux’ et ses consequences pour le comportement asymptotique des opérateurs positifs. J. Mathematiques Pures Appl. 64, 261–273
(1982). (with G. Greiner)
[23] Zur Charakterisierung stabiler Operatorhalbgruppen. Semesterbericht Funktionalanalysis Tübingen, Wintersemester 1981/82, 99–119.
[24] On the stability of strongly continuous semigroups of positive operators
on L2 (µ) . Ann. Scuola Normale Sup. Pisa 10, 257–262 (1983). (with G.
Greiner)
[25] Semigruppi di operatori positivi. Quaderno del’ Università di Bari, 65 pages
(1983). (with F. Altomare)
[26] Sobolev spaces and semigroups, Semesterbericht Funktionalanalysis Tübingen, Sommersemester 1983, 1–19.
[27] What can Positivity do for Stability? In: Functional Analysis: Surveys and
Recent Results III. K.-D. Bierstedt, B. Fuchssteiner (eds.), North-Holland
1984, 145–154.
[28] Asymptotic behavior of one-parameter semigroups of positive operators.
Acta Appl. Math. 2, 297–309 (1984). (with W. Kerscher)
2
[29] Ein Beweis des Satzes von Trotter-Kato. Semesterbericht Funktionalanalysis Tübingen, Wintersemester 1983/84, 259–266. (with F. Haug)
[30] On operator matrices with unbounded entries. Semesterbericht Funktionalanalysis Tübingen, Wintersemester 1984/85, 9–20.
[31] Well-posedness and positivity for systems of linear evolution equations.
Conferenze del Seminario di Matematica dell’ Università di Bari 203, 29
pages (1985).
[32] On the spectrum of certain systems of linear evolution equations. In: Differential Equations in Banach Spaces. Lecture Notes Math. 1223, 102–109,
Springer-Verlag 1986 (with K.-J. Engel)
*[33] One-parameter Semigroups of Positive Operators. Lecture Notes Math.
1184, Springer-Verlag 1986. (Editor and coauthor)
*[34] Aspects of Positivity in Functional Analysis. Math. Studies 122, NorthHolland 1986. (Editor with U. Schlotterbeck and M.P.H. Wolff)
*[35] Ergodic Theory in the Perspective of Functional Analysis. 13 Lectures.
Tübingen 1987. (with R.Derndinger und G.Palm)
[36] Positivity and stability for Cauchy problems with delay. In: F. Cardoso et
al. (eds.): Partial Differential Equations. Proc. Rio de Janeiro 1986. Lect.
Notes Math. 1324, 216–235. Springer-Verlag 1988. (with W. Kerscher)
[37] Growth of cell populations via one-parameter semigroups of positive operators. In: Mathematics Applied to Science. Academic Press 1988, 79–105.
(with G.Greiner)
[38] One-parameter semigroups of positive operators and their application to
differential equations with delay. Proc. X C.E.D.Y.A., Valencia 1987, 1–6.
[39] Towards a ”matrix theory” for unbounded operator matrices. Math. Z. 201,
57–68 (1989).
[40] The spectrum of unbounded operator matrices with non- diagonal domain.
J. Funct. Anal. 89, 291–302 (1990).
[41] Operatorhalbgruppen als ein funktionalanalytisches Modell der Wirklichkeit. Manuskript 1988.
*[42] Special Issue on Semigroups and Differential Operators. Semigroup Forum
38 (1989). (Editor with E. B. Davies und J. A. Goldstein)
3
[43] On the stability of positive semigroups generated by operator matrices. In:
V. Villani (ed.): Complex Geometry and Analysis. Lect. Notes Math. 1422,
77–83. Springer- Verlag 1990.
[44] Order structure of the semigroup dual: a counterexample. Indag. Math. 51,
199–201 (1989). (with A. Grabosch)
[45] Cauchy problems for polynomial operator matrices on abstract energy spaces.
Forum Math. 2, 89–102 (1990). (with K.-J. Engel)
[46] Positivity for operator matrices. In: A. J. Goldstein, F. Kappel, W. Schappacher (eds.): Differential Equations with Applications in Biology, Physics
and Engineering. Lect. Notes Pure Appl. Math. Vol. 133, 67–78, Marcel
Dekker 1991. (with P. Charissiadis)
[47] Order in pure and applied functional analysis. Atti. Sem. Mat. Fis. Univ.
Modena 39 (1991), 87–101.
[48] Operator matrices and reaction-diffusion systems. Rendiconti Seminario
Mat. Fis. Milano 59 (1989), 185–196.
[49] On the linear operator approach to dynamical systems. Conf. Sem. Mat.
Univ. Bari 243 (1991), 93–111.
[50] Asymptotic behavior and spectral properties of linear operators, Tübingen
1991.
[51] Superstable operators on Banach spaces. Israel J. Math. 81 (1993), 213-226.
(with F. Räbiger)
[52] Spectral and asymptotic properties of strongly continuous semigroups. In:
G.R. Goldstein, J.A. Goldstein (eds.): Semigroups of Linear and Nonlinear
Operations and Applications. 225-240. Kluwer Academic Publishers 1993.
[53] Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators. In: K.D. Bierstedt, A. Pietsch, W.M. Ruess, D. Vogt (eds.): Functional Analysis. Lect. Notes Pure Appl. Math. 150, 51-70. Marcel Dekker
1993. (with E. Sinestrari)
[54] Positivity and Liavunov’s stability conditions for linear systems. Adv. Math.
Sci. Appl. 3 (1993/94), 33-41. (with A. Rhandi)
[55] Spectral mapping theorems for C0 -groups satisfying non-quasianalytic growth conditions. Math. Nachrichten 169 (1994), 207-218. (with S. Huang)
[56] A characterization of Lipschitz continuous evolution families on Banach
spaces. Operator Theory: Advances and Applications 75 (1995), 275-288.
(with A. Rhandi)
4
[57] Semigroup methods for non-autonomous Cauchy problems. In: G. Ferreyra,
G. Ruiz Goldstein, F. Neubrander (eds.): Evolution Equations. Lect. Notes
Pure Appl. Math. 168, 301-316. Marcel Dekker 1995.
[58] Nonlinear hyperbolic Volterra integrodifferential equations, Nonlinear Analysis 27 (1996), 167-186. (with E. Sinestrari)
[59] Identification of extrapolation spaces for unbounded operators, Quaestiones
Math. 19 (1996), 83-100. (with G. Nickel, S. Romanelli)
[60] On inequalities for symmetric submarkovian operators, Arch. Math. 67
(1996), 308-311. (with J. Voigt)
[61] Characteristic equations for the spectrum of generators. Ann. Scuola Norm. Sup. Pisa 24 (1997), 703-717.
[62] Stability criteria through characteristic equations of linear operators. Rev.
Union Mat. Argentina 41 (1998), 91-98.
[63] Positivity methods for dichotomy of strongly continuous evolution families
on Hilbert spaces. Proc. Second Intern. Conf. Diff. Eq. Marrakesch. (with
A. Rhandi)
[64] Extrapolation spaces for semigroups. In: Nonlinear Evolution Equations
and Appl., RIMS Kokyuroko 1009 (1997), 181-191.
[65] On the regularity properties of perturbed semigroups. Rendiconti Circolo
Mat. Palermo. 56 (1998), 99-110. (with S. Piazzera)
[66] The critical spectrum of a strongly continuous semigroups. Adv. Math. 152
(2000), 120-133. (with J. Poland)
[67] On the spectral mapping theorem for perturbed strongly continuous semigroups. Archiv Math. 74 (2000), 365-378. (with S. Brendle und J. Poland)
[68] Exponentialfunktion und Wissenschaftlicher Determinismus - Fortschritt
oder ewige Wiederkehr des Gleichen? In: Nihil Novi Sub Sole? Kontinuität
in den Wissenschaften. I. Hosp (Hrsg.). Europäische Akademie Bozen 1999,
99-130.(with G. Nickel)
[69] On the structure of the critical spectrum of strongly continuous semigroups.
In: G. Lumer, L. Weis (eds.): Evolution Equations and their Applications.
Lect. Notes Pure Appl. Math. 215, 55-65. Marcel Dekker 2000.(with M.
Blake, S. Brendle)
*[70] One-parameter Semigroups for Linear Evolution Equations. Graduate Texts
in Math. 194, Springer-Verlag 2000. (with Klaus J. Engel)
5
[71] Partial functional differential equations with nonautonomous past. Discr.
Cont. Dyn. Systems 8 (2002), 1-24. (with S. Brendle)
[72] Well-posedness of nonautonomous Cauchy problems. Progress Nonlinear
Diff. Eqs. Appl. 50 (2002), 279-293. (with G. Nickel)
[73] A semigroup approach to boundary feedback systems. Int. Equ. Op. Theory
47(2003), 289-306. (with V.Casarino, K.-J. Engel, G. Nickel)
[74] Semigroups for initial boundary value problems, in: M. Iannelli and G. Lumer (eds.): ”Evolution Equations 2000: Applications to Physics, Industry,
Life Sciences and Economics”, Progress in Nonlinear Differential Equations,
Birkhäuser 2003, 277-297. (with M. Kramar, D. Mugnolo)
[75] Theory and applications of one-sided coupled operator matrices. Conf. Sem.
Mat. Univ. Bari 283 (2002), 1-29. (with M. Kramer, D. Mugnolo)
[76] Nonautonomous heat equations with dynamic boundary conditions. J. Evolution Equations, J. Evolution Equations 3 (2003), 321-331. (with Jin Liang,
Ti-Jun Xiao)
[77] Linear neutral partial differential equations, a semigroup approach. Int. J.
Math. Math. Sci. 23 (2003), 1433-1446. (with Nguyen Thieu Huy)
*[78] Evolution Equations, Lecture Notes Pure Appl. Math. 234 (2003). MarcelDekker. (Editor with G. Goldstein, S. Romanelli)
[79] Some open problems in the theory of C0 -semigroups, in: S. Romanelli et
al.: Interplay between C0 -semigroups and PDEs; Theory and Applications.
Bari 2004, 193-196
[80] The Miller scheme in semigroup theory. Advances Diff. Equ. 9 (2004), 387414. (with E. Sinestrari)
*[81] Functional Analytic Methods for Evolution Equations. Lecture Notes Math.
1855, Springer-Verlag 2005. (Editor with M. Iannelli, S. Piazzera)
[82] Extrapolation spaces and minimal regularity for evolution equations .J.
Evol. Equations 6 (2006), 287-303. (with E. Sinestrari)
*[83] A Short Course on Operator Semigroups. Universitext. Springer-Verlag
2006. (with Klaus J. Engel)
[84] Weakly and almost weakly stable C0 -semigroups. Int. J. Dyn. Syst. Diff.
Equ. 1(2007),44-57. (with T. Eisner, B.Farkas, A. Sereny)
6
[85] Approximation theorems for the propagators of higher order abstract Cauchy
problems. Trans. Amer. Math. Soc 360 (2008),1723-1739. (with Jin Liang,
Ti-Jun Xiao)
[86] Positive semigroups behave asymptotically as rotation groups. Positivity
12 (2008), 93-103. (with V. Keicher)
[87] Vertex control of flows in networks. J. Networks Heterogeneous Media 3
(2008), 709-722 (with K.-J. Engel, M. Kramar Fijavž, E. Sikolya)
[88] The semigroup approach to flows in networks. Physica D (with B. Dorn,
M. Kramar Fijavž, A. Radl)
[89] Maximal controllability for boundary control problems. Applied Math. Optimization ( with K.J. Engel, M. Kramar Fijavz, B. Klöss, E. Sikolya)
[90] Exponentially dichotomous generators of evolution bisemigroups on admissible function spaces. Houston J. Math. (with Nguyen Thien Huy)
7