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Author ID: brondsted.arne Recent zbMATH articles by "Brøndsted, 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

Publications by Year

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
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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