Edit Profile (opens in new tab) Brøndsted, Arne Co-Author Distance Author ID: brondsted.arne Published as: Brøndsted, Arne; Brøndsted, A. Documents Indexed: 26 Publications since 1964, including 2 Books Co-Authors: 4 Co-Authors with 3 Joint Publications 68 Co-Co-Authors Co-Authors 21 single-authored 1 Bondesen, Aage 1 Coquet, Gerard 1 Dupin, Jean-Claude 1 Kashin, Boris Sergeevich 1 Rockafellar, Ralph Tyrrell all top 5 Serials 6 Mathematica Scandinavica 3 Proceedings of the American Mathematical Society 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Pacific Journal of Mathematics 1 Bulletin de la Société Royale des Sciences de Liège 1 Expositiones Mathematicae 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Graduate Texts in Mathematics all top 5 Fields 15 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 3 Combinatorics (05-XX) 2 General topology (54-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 564 times in 524 Documents Cited by ▼ Year ▼ An introduction to convex polytopes. Zbl 0509.52001 Brøndsted, Arne 225 1983 On the subdifferentiability of convex functions. Zbl 0141.11801 Brøndsted, Arne; Rockafellar, R. T. 161 1965 On a lemma of Bishop and Phelps. Zbl 0248.46009 Brøndsted, Arne 60 1974 Fixed points and partial orders. Zbl 0343.47043 Brøndsted, Arne 25 1977 Conjugate convex functions in topological vector spaces. Zbl 0119.10004 Brøndsted, Arne 21 1964 On the subdifferential of the supremum of two convex functions. Zbl 0253.46101 Brøndsted, Arne 17 1972 Common fixed points and partial orders. Zbl 0385.54030 Brøndsted, Arne 11 1979 The inner aperture of a convex set. Zbl 0357.52005 Brøndsted, Arne 8 1977 Convex sets and Chebyshev sets. II. Zbl 0151.17504 Brøndsted, Arne 7 1966 Convex sets and Chebyshev sets. Zbl 0151.17503 Brøndsted, Arne 6 1965 Milman’s theorem for convex functions. Zbl 0162.44201 Brøndsted, A. 4 1966 An introduction to the theory of convex polytopes. Transl. from the English by K. I. Oskolkov. Transl. ed. and with a preface by B. S. Kashin. (Введение в теорию выпуклых многогранников.) Zbl 0733.52002 Brøndsted, Arne 4 1988 A new proof of the \(d\)-connectedness of \(d\)-polytopes. Zbl 0751.52005 Brøndsted, A.; Maxwell, G. 3 1989 Convexification of conjugate functions. Zbl 0298.46005 Brøndsted, Arne 2 1975 A dual proof of the upper bound conjecture for convex polytopes. Zbl 0437.52001 Bondesen, Aage; Brøndsted, Arne 2 1980 A note on best simultaneous approximation in normed linear spaces. Zbl 0346.52001 Brøndsted, Arne 2 1976 Barrier cones and intersections of translates of convex sets. Zbl 0384.52006 Brøndsted, Arne 2 1978 Continuous barycenter functions on convex polytopes. Zbl 0592.52004 Brøndsted, Arne 1 1986 Les faces d’un cône convexe abstrait. Zbl 0297.52002 Brøndsted, Arne 1 1975 Intersections of translates of convex sets. Zbl 0348.52007 Brøndsted, Arne 1 1977 A new proof of the \(d\)-connectedness of \(d\)-polytopes. Zbl 0751.52005 Brøndsted, A.; Maxwell, G. 3 1989 An introduction to the theory of convex polytopes. Transl. from the English by K. I. Oskolkov. Transl. ed. and with a preface by B. S. Kashin. (Введение в теорию выпуклых многогранников.) Zbl 0733.52002 Brøndsted, Arne 4 1988 Continuous barycenter functions on convex polytopes. Zbl 0592.52004 Brøndsted, Arne 1 1986 An introduction to convex polytopes. Zbl 0509.52001 Brøndsted, Arne 225 1983 A dual proof of the upper bound conjecture for convex polytopes. Zbl 0437.52001 Bondesen, Aage; Brøndsted, Arne 2 1980 Common fixed points and partial orders. Zbl 0385.54030 Brøndsted, Arne 11 1979 Barrier cones and intersections of translates of convex sets. Zbl 0384.52006 Brøndsted, Arne 2 1978 Fixed points and partial orders. Zbl 0343.47043 Brøndsted, Arne 25 1977 The inner aperture of a convex set. Zbl 0357.52005 Brøndsted, Arne 8 1977 Intersections of translates of convex sets. Zbl 0348.52007 Brøndsted, Arne 1 1977 A note on best simultaneous approximation in normed linear spaces. Zbl 0346.52001 Brøndsted, Arne 2 1976 Convexification of conjugate functions. Zbl 0298.46005 Brøndsted, Arne 2 1975 Les faces d’un cône convexe abstrait. Zbl 0297.52002 Brøndsted, Arne 1 1975 On a lemma of Bishop and Phelps. Zbl 0248.46009 Brøndsted, Arne 60 1974 On the subdifferential of the supremum of two convex functions. Zbl 0253.46101 Brøndsted, Arne 17 1972 Convex sets and Chebyshev sets. II. Zbl 0151.17504 Brøndsted, Arne 7 1966 Milman’s theorem for convex functions. Zbl 0162.44201 Brøndsted, A. 4 1966 On the subdifferentiability of convex functions. Zbl 0141.11801 Brøndsted, Arne; Rockafellar, R. T. 161 1965 Convex sets and Chebyshev sets. Zbl 0151.17503 Brøndsted, Arne 6 1965 Conjugate convex functions in topological vector spaces. Zbl 0119.10004 Brøndsted, Arne 21 1964 all cited Publications top 5 cited Publications all top 5 Cited by 648 Authors 16 Hantoute, Abderrahim 15 Turinici, Mihai 12 Correa, Rafael Augusto Couceiro 12 López-Cerdá, Marco Antonio 8 Cheng, Lixin 8 Pineda-Villavicencio, Guillermo 8 Yost, David T. 6 Romanowska, Anna B. 6 Simons, Stephen 6 Studený, Milan 6 Thibault, Lionel 6 Ugon, Julien 6 Villarreal, Rafael Heraclio 6 Yao, Jen-Chih 5 Khamsi, Mohamed Amine 5 Novo-Sanjurjo, Vicente 5 Penot, Jean-Paul 5 Rockafellar, Ralph Tyrrell 4 Alfuraidan, Monther Rashed 4 Blind, Gerd 4 Blind, Roswitha 4 Burachik, Regina Sandra 4 Ceng, Lu-Chuan 4 Chaira, Karim 4 Chen, Beifang 4 Fomenko, Tat’yana Nikolaevna 4 Huerga, Lidia 4 Kalai, Gil 4 McLinden, Lynn 4 Park, Sehie 3 Alimov, Alexey R. 3 Asplund, Edgar 3 Bair, Jacques 3 Boţ, Radu Ioan 3 Browder, Felix Earl 3 Csetnek, Ernö Robert 3 Fang, Yaping 3 Fierro, Raúl 3 Goberna, Miguel Angel 3 Gorokhovik, Valentin Vikent’evich 3 Gossez, Jean-Pierre 3 Gutiérrez, César 3 Kamenev, Georgy K. 3 Lazaiz, Samih 3 Matczak, Katarzyna 3 Mućka, Anna 3 Nevo, Eran 3 Nguyen, Bao Tran Nhan 3 Pérez-Aros, Pedro 3 Phelps, Robert Ralph 3 Rezaie, Mahboubeh 3 Svaiter, Benar Fux 3 Théra, Michel A. 3 Volle, Michel 3 Vom Ende, Frederik 3 Yan, Min 2 Alimohammady, Mohsen 2 Altun, Ishak 2 Alves, M. Marques 2 Asarin, Eugene 2 Bach, Francis R. 2 Barré, Mathieu 2 Bednov, Borislav Borisovich 2 Benoist, Joël 2 Bisztriczky, Tibor 2 Cabot, A. 2 Carrizosa, Emilio 2 Cattani, Carlo 2 Chaira, Soumia 2 Cussens, James 2 Davis, Michael W. 2 Du, Wei-Shih 2 Dwyer, Rex A. 2 Dyer, Matthew J. 2 Edelsbrunner, Herbert 2 Ekeland, Ivar 2 Flores-Bazán, Fabián 2 Gitler, Isidoro 2 Globevnik, Josip 2 Glöckner, Helge 2 González-Torres, Raúl Ernesto 2 Gritzmann, Peter 2 Hai, Le Phuoc 2 He, Binwu 2 Hiriart-Urruty, Jean-Baptiste 2 Huang, Nan-Jing 2 Jachymsky, Jacek R. 2 Januszkiewicz, Tadeusz 2 Jeyakumar, Vaithilingam 2 Kempner, Yulia 2 Khanh, Pham Duy 2 Klee, Victor LaRue 2 Kohsaka, Fumiaki 2 Kratochvíl, Václav 2 Lee, Carl W. 2 Lee, E. Stanley 2 Lee, Gue Myung 2 Levit, Vadim E. 2 López de Medrano, Santiago 2 Lucet, Yves ...and 548 more Authors all top 5 Cited in 186 Serials 25 Journal of Optimization Theory and Applications 23 Journal of Mathematical Analysis and Applications 17 Set-Valued and Variational Analysis 15 Linear Algebra and its Applications 15 Mathematical Programming. Series A. Series B 12 Optimization 11 Proceedings of the American Mathematical Society 11 Discrete & Computational Geometry 11 Nonlinear Analysis. Theory, Methods & Applications 10 Transactions of the American Mathematical Society 10 Journal of Global Optimization 9 Discrete Mathematics 9 European Journal of Combinatorics 9 Journal of Convex Analysis 7 Bulletin of the Australian Mathematical Society 7 Journal of Combinatorial Theory. Series A 6 Discrete Applied Mathematics 6 Advances in Mathematics 6 Automatica 6 Journal of Approximation Theory 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Archiv der Mathematik 5 Geometriae Dedicata 5 Mathematika 5 Set-Valued Analysis 5 Acta Mathematica Sinica. English Series 5 Fixed Point Theory and Applications 4 Israel Journal of Mathematics 4 Journal of Functional Analysis 4 Journal of Pure and Applied Algebra 4 Mathematische Annalen 4 International Journal of Approximate Reasoning 4 SIAM Journal on Optimization 4 Computational Optimization and Applications 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Journal of Algebra 3 Advances in Applied Mathematics 3 Probability Theory and Related Fields 3 International Journal of Algebra and Computation 3 Journal of Mathematical Sciences (New York) 3 Vietnam Journal of Mathematics 3 Positivity 3 Journal of Inequalities and Applications 3 Bulletin of the American Mathematical Society 3 Journal of Fixed Point Theory and Applications 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 Computers & Mathematics with Applications 2 Linear and Multilinear Algebra 2 Moscow University Mathematics Bulletin 2 Periodica Mathematica Hungarica 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Bulletin de la Société Mathématique de France 2 International Journal of Mathematics and Mathematical Sciences 2 Inventiones Mathematicae 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Multivariate Analysis 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Theoretical Computer Science 2 Topology and its Applications 2 Zeitschrift für Analysis und ihre Anwendungen 2 Statistics & Probability Letters 2 Journal of Symbolic Computation 2 Computational Mathematics and Mathematical Physics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Geometry & Topology 2 Annals of Combinatorics 2 Journal of Applied Mathematics 2 Proyecciones 2 Proceedings of the Steklov Institute of Mathematics 2 Optimization Letters 2 Groups, Geometry, and Dynamics 2 Science China. Mathematics 1 American Mathematical Monthly 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Communications in Algebra 1 Communications in Mathematical Physics 1 International Journal of General Systems 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Aplikace Matematiky 1 Applied Mathematics and Optimization 1 Calcolo 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae ...and 86 more Serials all top 5 Cited in 50 Fields 147 Convex and discrete geometry (52-XX) 130 Operations research, mathematical programming (90-XX) 106 Calculus of variations and optimal control; optimization (49-XX) 97 Operator theory (47-XX) 68 Functional analysis (46-XX) 52 General topology (54-XX) 36 Real functions (26-XX) 29 Combinatorics (05-XX) 24 Numerical analysis (65-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 19 Manifolds and cell complexes (57-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Computer science (68-XX) 17 Group theory and generalizations (20-XX) 16 Commutative algebra (13-XX) 16 Systems theory; control (93-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 14 Algebraic geometry (14-XX) 13 Approximations and expansions (41-XX) 13 Probability theory and stochastic processes (60-XX) 10 Geometry (51-XX) 10 Statistics (62-XX) 8 Mathematical logic and foundations (03-XX) 8 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Differential geometry (53-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Partial differential equations (35-XX) 6 Number theory (11-XX) 6 Algebraic topology (55-XX) 5 General algebraic systems (08-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Quantum theory (81-XX) 4 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of deformable solids (74-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year