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Author ID: alfsen.erik-m Recent zbMATH articles by "Alfsen, Erik M."
Published as: Alfsen, Erik M.; Alfsen, Erik
External Links: Wikidata · GND · IdRef
Documents Indexed: 51 Publications since 1951, including 4 Books
1 Further Contribution
Co-Authors: 12 Co-Authors with 24 Joint Publications
157 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 1,228 times in 895 Documents Cited by Year
Compact convex sets and boundary integrals. Zbl 0209.42601
Alfsen, Erik M.
463
1971
Structure in real Banach spaces. I and II. Zbl 0248.46019
Alfsen, Erik M.; Effros, Edward G.
139
1972
A Gelfand-Neumark theorem for Jordan algebras. Zbl 0397.46065
Alfsen, Erik M.; Shultz, Frederic W.; Størmer, Erling
87
1978
Geometry of state spaces of operator algebras. Zbl 1042.46001
Alfsen, Erik M.; Shultz, Frederic W.
82
2003
State spaces of operator algebras. Basic theory, orientations, and \(C^*\)-products. Zbl 0983.46047
Alfsen, Erik M.; Shultz, Frederic W.
82
2001
Non-commutative spectral theory for affine function spaces on convex sets. Zbl 0337.46013
Alfsen, Erik M.; Shultz, Frederic W.
40
1976
State spaces of Jordan algebras. Zbl 0397.46066
Alfsen, Erik M.; Schultz, F. W.
39
1978
State space of C*-algebras. Zbl 0458.46047
Alfsen, Erik M.; Hanche-Olsen, Harald; Shultz, Frederic W.
35
1980
On non-commutative spectral theory and Jordan algebras. Zbl 0404.46028
Alfsen, Erik M.; Shultz, Frederic W.
27
1979
A note on compact representations and almost periodicity in topological groups. Zbl 0132.36102
Alfsen, Erik M.; Holm, Per
24
1962
On the geometry of Choquet simplexes. Zbl 0189.42802
Alfsen, Erik M.
22
1964
Split faces of compact convex sets. Zbl 0207.12204
Alfsen, Erik M.; Andersen, T. B.
21
1970
Unique decompositions, faces, and automorphisms of separable states. Zbl 1310.81025
Alfsen, Erik; Shultz, Fred
17
2010
Order theoretic foundations of integration. Zbl 0111.25605
Alfsen, Erik M.
12
1963
On the equivalence between proximity structures and totally bounded uniform structures. Zbl 0095.37203
Alfsen, Erik M.; Fenstad, Jens Erik
11
1960
On dominated extensions in linear subspaces of \({\mathcal C}_ c(X)\). Zbl 0228.46049
Alfsen, Erik M.; Hirsberg, B.
11
1971
On the concept of centre in A(K). Zbl 0232.46016
Alfsen, Erik M.; Andersen, Tage Bai
11
1972
A note on completion and compactification. Zbl 0141.20502
Alfsen, Erik M.; Fenstad, Jens Erik
10
1960
Boundary values for homomorphisms of compact convex sets. Zbl 0152.11703
Alfsen, Erik M.
9
1966
On the Dirichlet problem of the Choquet boundary. Zbl 0165.15903
Alfsen, Erik M.
9
1968
Facial structure of compact convex sets. Zbl 0159.17801
Alfsen, Erik M.
9
1968
Finding decompositions of a class of separable states. Zbl 1257.81006
Alfsen, Erik; Shultz, Fred
9
2012
On the decomposition of a Choquet simplex into a direct convex sum of complementary faces. Zbl 0189.42801
Alfsen, Erik M.
7
1965
Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001
7
1976
Totality of uniform structures with linearly ordered base. Zbl 0117.39901
Alfsen, Erik M.; Njåstad, Olav
6
1963
Orientation in operator algebras. Zbl 0903.46055
Alfsen, Erik M.; Shultz, Frederic W.
6
1998
On orientation and dynamics in operator algebras. I. Zbl 0918.46060
Alfsen, Erik M.; Shultz, Frederic W.
6
1998
Proximity and generalized uniformity. Zbl 0122.41401
Alfsen, Erik M.; Njåstad, Olav
5
1963
A note on the Borel structure of a metrizable Choquet simplex and of its extreme boundary. Zbl 0149.33702
Alfsen, Erik M.
5
1966
On the geometry of noncommutative spectral theory. Zbl 0337.46014
Alfsen, Erik M.; Shultz, Frederic W.
4
1975
A simplified constructive proof of the existence and uniqueness of Haar measure. Zbl 0274.43001
Alfsen, Erik M.
3
1964
A measure theoretic characterization of Choquet simplexes. Zbl 0189.42702
Alfsen, Erik M.
3
1965
Existence et unicité des représentations intégrales par les mesures simpliciales sur la frontière extremale d’un convexe compact. Zbl 0175.13105
Alfsen, Erik M.; Skau, Ch.
3
1969
On a general theory of integration based on order. Zbl 0083.27401
Alfsen, Erik M.
2
1958
Simplicial decomposition of boundary measures on convex compact sets. Zbl 0193.40805
Alfsen, Erik M.; Skau, C. F.
2
1970
A remark concerning the article: ’On a general theory of integration based on order’. Zbl 0173.05202
Alfsen, Erik M.
2
1959
On the state spaces of Jordan and \(C^*\)-algebras. Zbl 0436.46051
Alfsen, Erik M.
1
1979
Schéma lagrangien de la théorie de l’électron de Flint. Zbl 0042.21704
Alfsen, Erik M.
1
1951
Un théorème de Weierstrass-Stone pour les sous-espaces vectoriels de \(C^ R(X)\). Zbl 0198.45701
Alfsen, Erik M.
1
1970
The optimal Lebesgue-Radon-Nikodym inequality. Zbl 0129.27103
Alfsen, Erik M.
1
1962
Vertices of Choquet simplexes. Zbl 0188.19003
Alfsen, Erik M.; Nordseth, T.
1
1968
Finding decompositions of a class of separable states. Zbl 1257.81006
Alfsen, Erik; Shultz, Fred
9
2012
Unique decompositions, faces, and automorphisms of separable states. Zbl 1310.81025
Alfsen, Erik; Shultz, Fred
17
2010
Geometry of state spaces of operator algebras. Zbl 1042.46001
Alfsen, Erik M.; Shultz, Frederic W.
82
2003
State spaces of operator algebras. Basic theory, orientations, and \(C^*\)-products. Zbl 0983.46047
Alfsen, Erik M.; Shultz, Frederic W.
82
2001
Orientation in operator algebras. Zbl 0903.46055
Alfsen, Erik M.; Shultz, Frederic W.
6
1998
On orientation and dynamics in operator algebras. I. Zbl 0918.46060
Alfsen, Erik M.; Shultz, Frederic W.
6
1998
State space of C*-algebras. Zbl 0458.46047
Alfsen, Erik M.; Hanche-Olsen, Harald; Shultz, Frederic W.
35
1980
On non-commutative spectral theory and Jordan algebras. Zbl 0404.46028
Alfsen, Erik M.; Shultz, Frederic W.
27
1979
On the state spaces of Jordan and \(C^*\)-algebras. Zbl 0436.46051
Alfsen, Erik M.
1
1979
A Gelfand-Neumark theorem for Jordan algebras. Zbl 0397.46065
Alfsen, Erik M.; Shultz, Frederic W.; Størmer, Erling
87
1978
State spaces of Jordan algebras. Zbl 0397.46066
Alfsen, Erik M.; Schultz, F. W.
39
1978
Non-commutative spectral theory for affine function spaces on convex sets. Zbl 0337.46013
Alfsen, Erik M.; Shultz, Frederic W.
40
1976
Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001
7
1976
On the geometry of noncommutative spectral theory. Zbl 0337.46014
Alfsen, Erik M.; Shultz, Frederic W.
4
1975
Structure in real Banach spaces. I and II. Zbl 0248.46019
Alfsen, Erik M.; Effros, Edward G.
139
1972
On the concept of centre in A(K). Zbl 0232.46016
Alfsen, Erik M.; Andersen, Tage Bai
11
1972
Compact convex sets and boundary integrals. Zbl 0209.42601
Alfsen, Erik M.
463
1971
On dominated extensions in linear subspaces of \({\mathcal C}_ c(X)\). Zbl 0228.46049
Alfsen, Erik M.; Hirsberg, B.
11
1971
Split faces of compact convex sets. Zbl 0207.12204
Alfsen, Erik M.; Andersen, T. B.
21
1970
Simplicial decomposition of boundary measures on convex compact sets. Zbl 0193.40805
Alfsen, Erik M.; Skau, C. F.
2
1970
Un théorème de Weierstrass-Stone pour les sous-espaces vectoriels de \(C^ R(X)\). Zbl 0198.45701
Alfsen, Erik M.
1
1970
Existence et unicité des représentations intégrales par les mesures simpliciales sur la frontière extremale d’un convexe compact. Zbl 0175.13105
Alfsen, Erik M.; Skau, Ch.
3
1969
On the Dirichlet problem of the Choquet boundary. Zbl 0165.15903
Alfsen, Erik M.
9
1968
Facial structure of compact convex sets. Zbl 0159.17801
Alfsen, Erik M.
9
1968
Vertices of Choquet simplexes. Zbl 0188.19003
Alfsen, Erik M.; Nordseth, T.
1
1968
Boundary values for homomorphisms of compact convex sets. Zbl 0152.11703
Alfsen, Erik M.
9
1966
A note on the Borel structure of a metrizable Choquet simplex and of its extreme boundary. Zbl 0149.33702
Alfsen, Erik M.
5
1966
On the decomposition of a Choquet simplex into a direct convex sum of complementary faces. Zbl 0189.42801
Alfsen, Erik M.
7
1965
A measure theoretic characterization of Choquet simplexes. Zbl 0189.42702
Alfsen, Erik M.
3
1965
On the geometry of Choquet simplexes. Zbl 0189.42802
Alfsen, Erik M.
22
1964
A simplified constructive proof of the existence and uniqueness of Haar measure. Zbl 0274.43001
Alfsen, Erik M.
3
1964
Order theoretic foundations of integration. Zbl 0111.25605
Alfsen, Erik M.
12
1963
Totality of uniform structures with linearly ordered base. Zbl 0117.39901
Alfsen, Erik M.; Njåstad, Olav
6
1963
Proximity and generalized uniformity. Zbl 0122.41401
Alfsen, Erik M.; Njåstad, Olav
5
1963
A note on compact representations and almost periodicity in topological groups. Zbl 0132.36102
Alfsen, Erik M.; Holm, Per
24
1962
The optimal Lebesgue-Radon-Nikodym inequality. Zbl 0129.27103
Alfsen, Erik M.
1
1962
On the equivalence between proximity structures and totally bounded uniform structures. Zbl 0095.37203
Alfsen, Erik M.; Fenstad, Jens Erik
11
1960
A note on completion and compactification. Zbl 0141.20502
Alfsen, Erik M.; Fenstad, Jens Erik
10
1960
A remark concerning the article: ’On a general theory of integration based on order’. Zbl 0173.05202
Alfsen, Erik M.
2
1959
On a general theory of integration based on order. Zbl 0083.27401
Alfsen, Erik M.
2
1958
Schéma lagrangien de la théorie de l’électron de Flint. Zbl 0042.21704
Alfsen, Erik M.
1
1951
all top 5

Cited by 743 Authors

30 Spurný, Jiří
22 Edwards, Christopher Martin
22 Pulmannová, Sylvia
20 Dvurečenskij, Anatolij
17 Foulis, David James
12 Alfsen, Erik M.
11 Mukhamedov, Farruh Maksutovich
11 Rüttimann, Gottfried Traugott
10 Batty, Charles J. K.
10 Lima, Asvald
10 Niestegge, Gerd
10 Rao, T. S. S. R. K.
10 Weis, Stephan
9 Peralta, Antonio M.
9 Rodríguez Palacios, Angel
9 Roy, Ashoke K.
9 Shultz, Frederic W.
8 Ellis, Alan John
8 Jenčová, Anna
8 Kutateladze, Semën Samsonovich
8 Kye, Seunghyeok
8 Lin, Huaxin
8 Rondoš, Jakub
7 Bugajski, Sławomir
7 Fuchssteiner, Benno
7 Kalenda, Ondřej F. K.
7 Lupini, Martino
7 Payá, Rafael
7 Wu, Wei
6 Ayupov, Shavkat Abdullaevich
6 Behrends, Ehrhard
6 Bunce, Leslie J.
6 Chu, Choho
6 Effros, Edward George
6 Hamhalter, Jan
6 Kaniuth, Eberhard
6 Karn, Anil Kumar
6 Müller, Markus P.
6 Riečan, Beloslav
6 Wright, John David Maitland
5 Barnum, Howard
5 Briem, Eggert
5 Cook, Thurlow A.
5 Erkurşun Özcan, Nazife
5 Friedman, Yaakov
5 Goodearl, Kenneth R.
5 Iochum, Bruno
5 Kumar, Amit
5 Kusraev, Anatoliĭ Georgievich
5 Lazar, Aldo J.
5 Mena Jurado, Juan Francisco
5 Roelands, Mark
5 Størmer, Erling
5 Wilce, Alexander
4 Blecher, David Peter
4 Cabrera-Serrano, Ana M.
4 Chen, Lin
4 Di Concilio, Anna
4 Elliott, George A.
4 Han, Kyung Hoon
4 Handelman, David E.
4 Latrémolière, Frédéric
4 Lemmens, Bas
4 Mach, Jaroslav
4 Majewski, Wladyslaw Adam
4 Ng, Chi-Keung
4 Oja, Eve
4 Perera, Francesc
4 Roth, Walter J.
4 Russo, Bernard
4 Smith, Roger R.
4 Thiel, Hannes
4 Ustinov, G. M.
4 Youngson, Martin A.
3 Abbati, Maria Cristina
3 Al-Rawashdeh, Ahmad Saleh
3 Ando, Tsuyoshi
3 Bikchentaev, Aĭrat Midkhatovich
3 Chetcuti, Emmanuel
3 Ciaglia, Florio Maria
3 Davies, Edward Brian
3 Deutsch, Frank
3 Döring, Andreas
3 El Kadiri, Mohamed
3 Feintzeig, Benjamin H.
3 Flor, Peter
3 Frembs, Markus
3 Ghatak, Anindya
3 Guadagni, Clara
3 Ha, Kilchan
3 Hauenschild, Wilfried
3 Hejazian, Shirin
3 Hess, Hans-Ulrich
3 Ibort, Alberto
3 Jacobs, Bart
3 Kennedy, Matthew
3 Kong, Otto C. W.
3 Lim, Yongdo
3 Liu, Wei-Yin
3 Long, Botao
...and 643 more Authors
all top 5

Cited in 188 Serials

60 Journal of Functional Analysis
52 Mathematische Annalen
42 Mathematische Zeitschrift
33 Journal of Mathematical Analysis and Applications
32 International Journal of Theoretical Physics
26 Israel Journal of Mathematics
21 Journal of Mathematical Physics
21 Mathematical Proceedings of the Cambridge Philosophical Society
21 Proceedings of the American Mathematical Society
18 Communications in Mathematical Physics
18 Reports on Mathematical Physics
17 Transactions of the American Mathematical Society
17 Positivity
16 Archiv der Mathematik
16 Foundations of Physics
15 Siberian Mathematical Journal
13 Annales de l’Institut Fourier
13 Linear Algebra and its Applications
11 Mathematical Notes
11 Journal of Algebra
11 Journal of Approximation Theory
10 Advances in Mathematics
9 Bulletin of the Australian Mathematical Society
9 Acta Mathematica
9 Mathematica Slovaca
9 Journal of Physics A: Mathematical and Theoretical
8 Inventiones Mathematicae
8 Topology and its Applications
7 Monatshefte für Mathematik
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Journal of Convex Analysis
6 Reviews in Mathematical Physics
6 Glasgow Mathematical Journal
5 Rocky Mountain Journal of Mathematics
5 Fuzzy Sets and Systems
5 Journal of Multivariate Analysis
5 Manuscripta Mathematica
5 Results in Mathematics
5 New Journal of Physics
5 Bulletin of the American Mathematical Society
5 Banach Journal of Mathematical Analysis
5 Advances in Operator Theory
4 Communications in Algebra
4 Journal of Geometry and Physics
4 Canadian Journal of Mathematics
4 Duke Mathematical Journal
4 Integral Equations and Operator Theory
4 Journal of Soviet Mathematics
4 Mathematische Nachrichten
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Acta Mathematica Hungarica
4 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Expositiones Mathematicae
4 Potential Analysis
4 Quantum Information Processing
4 Matematický Časopis, Slovenskej Akadémie Vied
3 Linear and Multilinear Algebra
3 Studia Mathematica
3 Arkiv för Matematik
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
3 International Journal of Mathematics and Mathematical Sciences
3 Semigroup Forum
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Soft Computing
3 Revista Matemática Complutense
3 Journal of the Australian Mathematical Society
3 Operators and Matrices
3 Chinese Journal of Physics (Taipei)
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Algebra Universalis
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Statistics
2 Dissertationes Mathematicae
2 Functional Analysis and its Applications
2 Illinois Journal of Mathematics
2 Journal of Pure and Applied Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Mathematica Scandinavica
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Rendiconti del Seminario Matematico della Università di Padova
2 Synthese
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Order
2 \(K\)-Theory
2 International Journal of Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Bulletin des Sciences Mathématiques
2 Open Systems & Information Dynamics
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Central European Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Mediterranean Journal of Mathematics
2 Asian-European Journal of Mathematics
...and 88 more Serials
all top 5

Cited in 54 Fields

577 Functional analysis (46-XX)
167 Quantum theory (81-XX)
145 Operator theory (47-XX)
124 Nonassociative rings and algebras (17-XX)
61 Order, lattices, ordered algebraic structures (06-XX)
55 General topology (54-XX)
54 Mathematical logic and foundations (03-XX)
52 Measure and integration (28-XX)
52 Convex and discrete geometry (52-XX)
44 Probability theory and stochastic processes (60-XX)
35 Approximations and expansions (41-XX)
32 Topological groups, Lie groups (22-XX)
21 Differential geometry (53-XX)
19 Potential theory (31-XX)
19 Abstract harmonic analysis (43-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Real functions (26-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Statistics (62-XX)
14 Information and communication theory, circuits (94-XX)
13 Category theory; homological algebra (18-XX)
12 Associative rings and algebras (16-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Operations research, mathematical programming (90-XX)
7 \(K\)-theory (19-XX)
7 Group theory and generalizations (20-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Partial differential equations (35-XX)
6 Computer science (68-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Combinatorics (05-XX)
4 Functions of a complex variable (30-XX)
3 Integral transforms, operational calculus (44-XX)
3 Mechanics of particles and systems (70-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 General algebraic systems (08-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Numerical analysis (65-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)

Citations by Year

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