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## Räbiger, Frank

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 Author ID: rabiger.frank Published as: Räbiger, F.; Räbiger, Frank; Räbinger, Frank
 Documents Indexed: 39 Publications since 1985, including 1 Book
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#### Co-Authors

 10 single-authored 6 Schnaubelt, Roland 6 Wolff, Manfred P. H. 3 Batty, Charles J. K. 3 Gühring, Gabriele 3 Ricker, Werner Joseph 3 van Neerven, Jan M. A. M. 2 Emel’yanov, Èduard Yur’evich 2 Huang, Senzhong 2 Hutter, Walter 2 Rhandi, Abdelaziz 1 Arendt, Wolfgang 1 Emmanuele, Giovanni 1 Hieber, Matthias 1 Köhler, Uwe 1 Latushkin, Yuri 1 Leung, Denny H. 1 Nagel, Rainer J. 1 Nguyen Van Minh 1 Ruess, Wolfgang M. 1 Sourour, Ahmed Ramzi 1 Voigt, Jurgen
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#### Serials

 4 Proceedings of the American Mathematical Society 3 Integral Equations and Operator Theory 3 Differential and Integral Equations 2 Archiv der Mathematik 2 Journal of Differential Equations 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Journal of the Australian Mathematical Society. Series A 2 Indagationes Mathematicae. New Series 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Acta Scientiarum Mathematicarum 1 Illinois Journal of Mathematics 1 Mathematische Annalen 1 Quaestiones Mathematicae 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Semigroup Forum 1 Forum Mathematicum 1 Abstract and Applied Analysis 1 Positivity
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#### Fields

 31 Operator theory (47-XX) 20 Functional analysis (46-XX) 10 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Mathematical logic and foundations (03-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

35 Publications have been cited 344 times in 263 Documents Cited by Year
Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line. Zbl 0977.34056
Nguyen Van Minh; Räbiger, Frank; Schnaubelt, Roland
1998
The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions. Zbl 0897.47037
Räbiger, Frank; Schnaubelt, Roland
1996
Spectral properties of the operator equation $$AX+XB=Y$$. Zbl 0826.47013
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed
1994
Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems. Zbl 0934.34049
Batty, Charles J. K.; Hutter, Walter; Räbiger, Frank
1999
Räbiger, Frank; Schnaubelt, Roland; Rhandi, Abdelaziz; Voigt, Jürgen
2000
Local spectra and individual stability of uniformly bounded $$C_{0}$$-semigroups. Zbl 0893.47026
Batty, Charles J. K.; van Neerven, Jan; Räbiger, Frank
1998
Tauberian theorems and stability of solutions of the Cauchy problem. Zbl 0898.44001
Batty, Charles J. K.; van Neerven, Jan; Räbiger, Frank
1998
Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations. Zbl 0987.34062
Gühring, Gabriele; Räbiger, Frank
1999
Stability and ergodicity of dominated semigroups. II: The strong case. Zbl 0788.47036
Räbiger, Frank
1993
Attractors and asymptotic periodicity of positive operators on Banach lattices. Zbl 0835.47023
Räbiger, Frank
1995
$$C_ 0$$-groups and $$C_ 0$$-semigroups of linear operators on hereditarily indecomposable Banach spaces. Zbl 0890.47023
Räbiger, F.; Ricker, W. J.
1996
Operator valued Fourier multipliers and stability of strongly continuous semigroups. Zbl 1077.47042
Latushkin, Yuri; Räbiger, Frank
2005
Perturbation and an abstract characterization of evolution semigroups. Zbl 0884.47017
Räbiger, Frank; Rhandi, Abdelaziz; Schnaubelt, Roland
1996
Superstable operators on Banach spaces. Zbl 0788.47003
Nagel, Rainer; Räbiger, Frank
1993
Stability and almost periodicity of asymptotically dominated semigroups of positive operators. Zbl 0979.47021
Emel’yanov, E. Yu.; Kohler, U.; Räbiger, F.; Wolff, M. P. H.
2001
$$C_0$$-semigroups and cosine families of linear operators in hereditarily indecomposable Banach spaces. Zbl 0921.47037
Räbiger, Frank; Ricker, Werner J.
1998
On the approximation of positive operators and the behaviour of the spectra of the approximants. Zbl 0901.47009
Räbiger, Frank; Wolff, Manfred P. H.
1997
On the Gelfand-Phillips property in $$\epsilon$$-tensor products. Zbl 0624.46048
Emmanuele, Giovanni; Räbiger, Frank
1986
A characteristic equation for non-autonomous partial functional differential equations. Zbl 1010.34076
Gühring, Gabriele; Räbiger, Frank; Schnaubelt, Roland
2002
Spectral mapping theorems for evolution semigroups on spaces of almost periodic functions. Zbl 1059.47048
Hutter, Walter; Räbiger, Frank
2003
Linearized stability for semilinear non-autonomous evolution equations with applications to retarded differential equations. Zbl 0990.34068
Gühring, Gabriele; Räbiger, Frank; Ruess, Wolfgang M.
2000
Spectral and asymptotic properties of dominated operators. Zbl 0895.47027
Räbiger, Frank; Wolff, Manfred P. H.
1997
Superstable semigroups of operators. Zbl 0849.47019
Räbiger, Frank; Wolff, Manfred P. H.
1995
Stability and ergodicity of dominated semigroups. I: The uniform case. Zbl 0792.47039
Räbiger, Frank
1993
Superstable $$C_ 0$$-semigroups on Banach spaces. Zbl 0798.47034
Huang, Senzhong; Räbiger, F.
1993
Lower 2-estimates for sequences in Banach lattices. Zbl 0728.46017
Räbiger, Frank
1991
Lower and upper 2-estimates for order bounded sequences and Dunford- Pettis operators between certain classes of Banach lattices. Zbl 0759.46028
Räbiger, Frank
1991
A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042
Hieber, Matthias; Räbiger, Frank
1992
Complemented copies of $$c_ 0$$ in $$\ell ^{\infty}$$-sums of Banach spaces. Zbl 0723.46013
Leung, Denny; Räbiger, Frank
1990
Beiträge zur Strukturtheorie der Grothendieck-Räume. (Contributions to the structure theory of Grothendieck spaces). Zbl 0597.46021
Räbiger, Frank
1985
Asymptotic behavior of positive operators on Banach lattices. Zbl 0984.47029
Emel’yanov, E. Yu.; Räbiger, F.; Wolff, M. P. H.
2000
Absorption evolution families and exponential stability of non-autonomous diffusion equations. Zbl 1015.34041
Räbiger, Frank; Schnaubelt, Roland
1999
Ditkin’s condition for certain Beurling algebras. Zbl 0886.43007
Huang, Sen-Zhong; van Neerven, Jan; Räbiger, Frank
1998
Aspects of operator theory in hereditarily indecomposable Banach spaces. Zbl 1098.47512
Ricker, Werner J.; Räbinger, Frank
1997
Ergodic Banach lattices. Zbl 0728.47004
Räbiger, Frank
1990
Operator valued Fourier multipliers and stability of strongly continuous semigroups. Zbl 1077.47042
Latushkin, Yuri; Räbiger, Frank
2005
Spectral mapping theorems for evolution semigroups on spaces of almost periodic functions. Zbl 1059.47048
Hutter, Walter; Räbiger, Frank
2003
A characteristic equation for non-autonomous partial functional differential equations. Zbl 1010.34076
Gühring, Gabriele; Räbiger, Frank; Schnaubelt, Roland
2002
Stability and almost periodicity of asymptotically dominated semigroups of positive operators. Zbl 0979.47021
Emel’yanov, E. Yu.; Kohler, U.; Räbiger, F.; Wolff, M. P. H.
2001
Räbiger, Frank; Schnaubelt, Roland; Rhandi, Abdelaziz; Voigt, Jürgen
2000
Linearized stability for semilinear non-autonomous evolution equations with applications to retarded differential equations. Zbl 0990.34068
Gühring, Gabriele; Räbiger, Frank; Ruess, Wolfgang M.
2000
Asymptotic behavior of positive operators on Banach lattices. Zbl 0984.47029
Emel’yanov, E. Yu.; Räbiger, F.; Wolff, M. P. H.
2000
Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems. Zbl 0934.34049
Batty, Charles J. K.; Hutter, Walter; Räbiger, Frank
1999
Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations. Zbl 0987.34062
Gühring, Gabriele; Räbiger, Frank
1999
Absorption evolution families and exponential stability of non-autonomous diffusion equations. Zbl 1015.34041
Räbiger, Frank; Schnaubelt, Roland
1999
Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line. Zbl 0977.34056
Nguyen Van Minh; Räbiger, Frank; Schnaubelt, Roland
1998
Local spectra and individual stability of uniformly bounded $$C_{0}$$-semigroups. Zbl 0893.47026
Batty, Charles J. K.; van Neerven, Jan; Räbiger, Frank
1998
Tauberian theorems and stability of solutions of the Cauchy problem. Zbl 0898.44001
Batty, Charles J. K.; van Neerven, Jan; Räbiger, Frank
1998
$$C_0$$-semigroups and cosine families of linear operators in hereditarily indecomposable Banach spaces. Zbl 0921.47037
Räbiger, Frank; Ricker, Werner J.
1998
Ditkin’s condition for certain Beurling algebras. Zbl 0886.43007
Huang, Sen-Zhong; van Neerven, Jan; Räbiger, Frank
1998
On the approximation of positive operators and the behaviour of the spectra of the approximants. Zbl 0901.47009
Räbiger, Frank; Wolff, Manfred P. H.
1997
Spectral and asymptotic properties of dominated operators. Zbl 0895.47027
Räbiger, Frank; Wolff, Manfred P. H.
1997
Aspects of operator theory in hereditarily indecomposable Banach spaces. Zbl 1098.47512
Ricker, Werner J.; Räbinger, Frank
1997
The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions. Zbl 0897.47037
Räbiger, Frank; Schnaubelt, Roland
1996
$$C_ 0$$-groups and $$C_ 0$$-semigroups of linear operators on hereditarily indecomposable Banach spaces. Zbl 0890.47023
Räbiger, F.; Ricker, W. J.
1996
Perturbation and an abstract characterization of evolution semigroups. Zbl 0884.47017
Räbiger, Frank; Rhandi, Abdelaziz; Schnaubelt, Roland
1996
Attractors and asymptotic periodicity of positive operators on Banach lattices. Zbl 0835.47023
Räbiger, Frank
1995
Superstable semigroups of operators. Zbl 0849.47019
Räbiger, Frank; Wolff, Manfred P. H.
1995
Spectral properties of the operator equation $$AX+XB=Y$$. Zbl 0826.47013
Arendt, Wolfgang; Räbiger, Frank; Sourour, Ahmed
1994
Stability and ergodicity of dominated semigroups. II: The strong case. Zbl 0788.47036
Räbiger, Frank
1993
Superstable operators on Banach spaces. Zbl 0788.47003
Nagel, Rainer; Räbiger, Frank
1993
Stability and ergodicity of dominated semigroups. I: The uniform case. Zbl 0792.47039
Räbiger, Frank
1993
Superstable $$C_ 0$$-semigroups on Banach spaces. Zbl 0798.47034
Huang, Senzhong; Räbiger, F.
1993
A remark on the abstract Cauchy problem on spaces of Hölder continuous functions. Zbl 0765.34042
Hieber, Matthias; Räbiger, Frank
1992
Lower 2-estimates for sequences in Banach lattices. Zbl 0728.46017
Räbiger, Frank
1991
Lower and upper 2-estimates for order bounded sequences and Dunford- Pettis operators between certain classes of Banach lattices. Zbl 0759.46028
Räbiger, Frank
1991
Complemented copies of $$c_ 0$$ in $$\ell ^{\infty}$$-sums of Banach spaces. Zbl 0723.46013
Leung, Denny; Räbiger, Frank
1990
Ergodic Banach lattices. Zbl 0728.47004
Räbiger, Frank
1990
On the Gelfand-Phillips property in $$\epsilon$$-tensor products. Zbl 0624.46048
Emmanuele, Giovanni; Räbiger, Frank
1986
Beiträge zur Strukturtheorie der Grothendieck-Räume. (Contributions to the structure theory of Grothendieck spaces). Zbl 0597.46021
Räbiger, Frank
1985
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#### Cited by 285 Authors

 20 Nguyen Thieu Huy 19 Nguyen Van Minh 16 Preda, Ciprian 15 Sasu, Adina Luminiţa 15 Sasu, Bogdan 10 Preda, Petre 10 Räbiger, Frank 9 Barreira, Luis Manuel 9 Valls Anglés, Cláudia 8 Dragičević, Davor 8 Schnaubelt, Roland 7 Batty, Charles J. K. 7 Emel’yanov, Èduard Yur’evich 7 Erkurşun Özcan, Nazife 6 Buşe, Constantin 6 Maniar, Lahcen 6 Megan, Mihail 5 Naito, Toshiki 5 Vu Thi Ngoc Ha 4 Baskakov, Anatoliĭ Grigor’evich 4 Boulite, Said 4 Gulisashvili, Archil 4 van Neerven, Jan M. A. M. 4 Wolff, Manfred P. H. 3 Basit, Bolis 3 Boumenir, Amin A. 3 Cao, Junfei 3 Chen, Jianhua 3 Dieu, Bui Xuan 3 Glück, Jochen 3 Lassoued, Dhaou 3 Latushkin, Yuri 3 Lupa, Nicolae 3 Metafune, Giorgio 3 N’Guérékata, Gaston Mandata 3 O’Regan, Donal 3 Pham Viet Hai 3 Pogan, Alin 3 Popescu, Liviu Horia 3 Saierli, Olivia 3 Seifert, David 3 Siegmund, Stefan 3 Tomilov, Yuri 3 Zhang, Weinian 2 Alaminos, Jerónimo 2 Alpay, Safak 2 Arlotti, Luisa 2 Babuţia, Mihai Gabriel 2 Bătăran, Florin 2 Binhadjah, Ali 2 Chill, Ralph 2 Cuevas, Claudio 2 Drewnowski, Lech 2 Emmanuele, Giovanni 2 Extremera, José 2 Ferenczi, Valentin 2 Halloumi, M. 2 Huang, Zaitang 2 Jendoubi, Chiraz 2 Krishtal, Ilya Arkadievich 2 Leung, Denny H. 2 Lindström, Mikael 2 Liu, James Hetao 2 Morariu, Claudia Isabela 2 Moşincat, Răzvan O. 2 Mouton, Sonja 2 Mukhamedov, Farruh Maksutovich 2 Ngo Quy Dang 2 Nguyen, Thi Loan 2 Phong, Vu Quoc 2 Pötzsche, Christian 2 Prüß, Jan Wilhelm 2 Pryde, Alan J. 2 Rahmat, Gul 2 Sobajima, Motohiro 2 Song, Xiaoqiu 2 Spina, Chiara 2 Tabassum, Afshan 2 Thieu Huy Nguyen 2 Trinh Viet Duoc 2 Villena, Armando R. 2 Vu Kim Tuan 2 Vu Trong Luong 2 Vu, Quoc-Phong 2 Zada, Akbar 2 Zheng, Quan 2 Zhou, Linfeng 2 Zitane, Mohamed 1 Abu Alhalawa, Muna 1 Akrid, Thami 1 Al-Rawashdeh, Ahmed S. 1 Amin, Rohul 1 Andrade, Bruno 1 Andreu, Fuensanta 1 Arendt, Wolfgang 1 Arif, Muhammad 1 Banasiak, Jacek 1 Barbu, Dorel 1 Baroun, Mahmoud 1 Bartoszek, Wojciech ...and 185 more Authors
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#### Cited in 90 Serials

 33 Journal of Mathematical Analysis and Applications 25 Journal of Differential Equations 13 Journal of Functional Analysis 12 Proceedings of the American Mathematical Society 9 Semigroup Forum 9 Positivity 8 Advances in Difference Equations 7 Integral Equations and Operator Theory 7 Transactions of the American Mathematical Society 6 Applicable Analysis 6 Mediterranean Journal of Mathematics 5 Mathematische Zeitschrift 5 Journal of Difference Equations and Applications 4 Monatshefte für Mathematik 4 Qualitative Theory of Dynamical Systems 3 Acta Mathematica Vietnamica 3 Annales Polonici Mathematici 3 Siberian Mathematical Journal 3 Indagationes Mathematicae. New Series 3 Abstract and Applied Analysis 3 Journal of Evolution Equations 3 Communications on Pure and Applied Analysis 2 Computers & Mathematics with Applications 2 Studia Mathematica 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Computation 2 Mathematische Annalen 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 MCSS. Mathematics of Control, Signals, and Systems 2 Forum Mathematicum 2 Journal of Integral Equations and Applications 2 Linear Algebra and its Applications 2 Bulletin des Sciences Mathématiques 2 Vietnam Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Discrete and Continuous Dynamical Systems. Series B 2 Asian-European Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Zeitschrift für Analysis und ihre Anwendungen 1 International Journal of Mathematics 1 Siberian Advances in Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Chinese Science Bulletin 1 Journal of Mathematical Sciences (New York) 1 Advances in Differential Equations 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 International Journal of Applied Mathematics and Computer Science 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Function Spaces and Applications 1 African Diaspora Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Differential Equations and Applications 1 Science China. Mathematics 1 Eurasian Mathematical Journal 1 Nonautonomous Dynamical Systems 1 Journal of Function Spaces 1 Korean Journal of Mathematics
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#### Cited in 33 Fields

 147 Operator theory (47-XX) 125 Ordinary differential equations (34-XX) 54 Partial differential equations (35-XX) 44 Functional analysis (46-XX) 38 Dynamical systems and ergodic theory (37-XX) 27 Difference and functional equations (39-XX) 16 Systems theory; control (93-XX) 9 Probability theory and stochastic processes (60-XX) 7 Abstract harmonic analysis (43-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Integral equations (45-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Sequences, series, summability (40-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)