Edit Profile (opens in new tab) Alfsen, Erik M. Co-Author Distance Author ID: 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 155 Co-Co-Authors all top 5 Co-Authors 27 single-authored 10 Shultz, Frederic W. 2 Andersen, Tage Bai 2 Fenstad, Jens Erik 2 Njåstad, Olav 2 Shultz, Fred 2 Skau, Christian Fredrik 1 Aitchison, Peter W. 1 Beauzamy, Bernard 1 Bessaga, Czeslaw 1 Burton, Geoffrey R. 1 Choquet, Gustave 1 Davis, William Jay 1 Day, Mahlon Marsh 1 Effros, Edward George 1 Erdős, Pál 1 Ewald, Günter 1 Figiel, Tadeusz 1 Fourneau, Rene 1 Garling, D. J. H. 1 Grünbaum, Branko 1 Guy, Richard Kenneth 1 Hanche-Olsen, Harald 1 Haydon, Richard G. 1 Hirsberg, Bent 1 Holm, Per 1 James, Robert C. 1 Klee, Victor LaRue 1 Larman, David G. 1 Lindenstrauss, Joram 1 Mani-Levitska, Peter 1 Nordseth, T. 1 Pełczyński, Aleksander 1 Petty, Clinton M. 1 Phelps, Robert Ralph 1 Rogers, Claude Ambrose 1 Rosenthal, Haskell P. 1 Størmer, Erling 1 Tzafriri, Lior 1 Wright, John David Maitland all top 5 Serials 14 Mathematica Scandinavica 3 Acta Mathematica 3 Proceedings of the London Mathematical Society. Third Series 2 Fundamenta Mathematicae 2 Mathematische Annalen 2 Normat 2 Bulletin of the American Mathematical Society 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annals of Mathematics. Second Series 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Ergebnisse der Mathematik und ihrer Grenzgebiete all top 5 Fields 21 Functional analysis (46-XX) 8 Nonassociative rings and algebras (17-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 1,113 times in 816 Documents Cited by ▼ Year ▼ Compact convex sets and boundary integrals. Zbl 0209.42601Alfsen, Erik M. 430 1971 Structure in real Banach spaces. I and II. Zbl 0248.46019Alfsen, Erik M.; Effros, Edward G. 132 1972 A Gelfand-Neumark theorem for Jordan algebras. Zbl 0397.46065Alfsen, Erik M.; Shultz, Frederic W.; Størmer, Erling 85 1978 State spaces of operator algebras. Basic theory, orientations, and \(C^*\)-products. Zbl 0983.46047Alfsen, Erik M.; Shultz, Frederic W. 58 2001 Geometry of state spaces of operator algebras. Zbl 1042.46001Alfsen, Erik M.; Shultz, Frederic W. 50 2003 State spaces of Jordan algebras. Zbl 0397.46066Alfsen, Erik M.; Schultz, F. W. 38 1978 Non-commutative spectral theory for affine function spaces on convex sets. Zbl 0337.46013Alfsen, Erik M.; Shultz, Frederic W. 37 1976 State space of C*-algebras. Zbl 0458.46047Alfsen, Erik M.; Hanche-Olsen, Harald; Shultz, Frederic W. 31 1980 On non-commutative spectral theory and Jordan algebras. Zbl 0404.46028Alfsen, Erik M.; Shultz, Frederic W. 25 1979 A note on compact representations and almost periodicity in topological groups. Zbl 0132.36102Alfsen, Erik M.; Holm, Per 24 1962 On the geometry of Choquet simplexes. Zbl 0189.42802Alfsen, Erik M. 22 1964 Split faces of compact convex sets. Zbl 0207.12204Alfsen, Erik M.; Andersen, T. B. 21 1970 Unique decompositions, faces, and automorphisms of separable states. Zbl 1310.81025Alfsen, Erik; Shultz, Fred 17 2010 Order theoretic foundations of integration. Zbl 0111.25605Alfsen, Erik M. 12 1963 On the equivalence between proximity structures and totally bounded uniform structures. Zbl 0095.37203Alfsen, Erik M.; Fenstad, Jens Erik 11 1960 On dominated extensions in linear subspaces of \({\mathcal C}_ c(X)\). Zbl 0228.46049Alfsen, Erik M.; Hirsberg, B. 11 1971 On the concept of centre in A(K). Zbl 0232.46016Alfsen, Erik M.; Andersen, Tage Bai 11 1972 A note on completion and compactification. Zbl 0141.20502Alfsen, Erik M.; Fenstad, Jens Erik 10 1960 Finding decompositions of a class of separable states. Zbl 1257.81006Alfsen, Erik; Shultz, Fred 9 2012 Boundary values for homomorphisms of compact convex sets. Zbl 0152.11703Alfsen, Erik M. 9 1966 Facial structure of compact convex sets. Zbl 0159.17801Alfsen, Erik M. 9 1968 On the Dirichlet problem of the Choquet boundary. Zbl 0165.15903Alfsen, Erik M. 9 1968 Durham symposium on the relations between infinite-dimensional and finite-dimensional convexity. Zbl 0323.52001 7 1976 On the decomposition of a Choquet simplex into a direct convex sum of complementary faces. Zbl 0189.42801Alfsen, Erik M. 7 1965 Totality of uniform structures with linearly ordered base. Zbl 0117.39901Alfsen, Erik M.; Njåstad, Olav 6 1963 Proximity and generalized uniformity. Zbl 0122.41401Alfsen, Erik M.; Njåstad, Olav 5 1963 A note on the Borel structure of a metrizable Choquet simplex and of its extreme boundary. Zbl 0149.33702Alfsen, Erik M. 5 1966 On orientation and dynamics in operator algebras. I. Zbl 0918.46060Alfsen, Erik M.; Shultz, Frederic W. 4 1998 On the geometry of noncommutative spectral theory. Zbl 0337.46014Alfsen, Erik M.; Shultz, Frederic W. 4 1975 A simplified constructive proof of the existence and uniqueness of Haar measure. Zbl 0274.43001Alfsen, Erik M. 3 1964 Existence et unicité des représentations intégrales par les mesures simpliciales sur la frontière extremale d’un convexe compact. Zbl 0175.13105Alfsen, Erik M.; Skau, Ch. 3 1969 A measure theoretic characterization of Choquet simplexes. Zbl 0189.42702Alfsen, Erik M. 3 1965 Orientation in operator algebras. Zbl 0903.46055Alfsen, Erik M.; Shultz, Frederic W. 2 1998 A remark concerning the article: ’On a general theory of integration based on order’. Zbl 0173.05202Alfsen, Erik M. 2 1959 Simplicial decomposition of boundary measures on convex compact sets. Zbl 0193.40805Alfsen, Erik M.; Skau, C. F. 2 1970 On a general theory of integration based on order. Zbl 0083.27401Alfsen, Erik M. 2 1958 The optimal Lebesgue-Radon-Nikodym inequality. Zbl 0129.27103Alfsen, Erik M. 1 1962 Vertices of Choquet simplexes. Zbl 0188.19003Alfsen, Erik M.; Nordseth, T. 1 1968 Un théorème de Weierstrass-Stone pour les sous-espaces vectoriels de \(C^ R(X)\). Zbl 0198.45701Alfsen, Erik M. 1 1970 Schéma lagrangien de la théorie de l’électron de Flint. Zbl 0042.21704Alfsen, Erik M. 1 1951 Finding decompositions of a class of separable states. Zbl 1257.81006Alfsen, Erik; Shultz, Fred 9 2012 Unique decompositions, faces, and automorphisms of separable states. Zbl 1310.81025Alfsen, Erik; Shultz, Fred 17 2010 Geometry of state spaces of operator algebras. Zbl 1042.46001Alfsen, Erik M.; Shultz, Frederic W. 50 2003 State spaces of operator algebras. Basic theory, orientations, and \(C^*\)-products. Zbl 0983.46047Alfsen, Erik M.; Shultz, Frederic W. 58 2001 On orientation and dynamics in operator algebras. I. Zbl 0918.46060Alfsen, Erik M.; Shultz, Frederic W. 4 1998 Orientation in operator algebras. Zbl 0903.46055Alfsen, Erik M.; Shultz, Frederic W. 2 1998 State space of C*-algebras. Zbl 0458.46047Alfsen, Erik M.; Hanche-Olsen, Harald; Shultz, Frederic W. 31 1980 On non-commutative spectral theory and Jordan algebras. Zbl 0404.46028Alfsen, Erik M.; Shultz, Frederic W. 25 1979 A Gelfand-Neumark theorem for Jordan algebras. Zbl 0397.46065Alfsen, Erik M.; Shultz, Frederic W.; Størmer, Erling 85 1978 State spaces of Jordan algebras. Zbl 0397.46066Alfsen, Erik M.; Schultz, F. W. 38 1978 Non-commutative spectral theory for affine function spaces on convex sets. Zbl 0337.46013Alfsen, Erik M.; Shultz, Frederic W. 37 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 0337.46014Alfsen, Erik M.; Shultz, Frederic W. 4 1975 Structure in real Banach spaces. I and II. Zbl 0248.46019Alfsen, Erik M.; Effros, Edward G. 132 1972 On the concept of centre in A(K). Zbl 0232.46016Alfsen, Erik M.; Andersen, Tage Bai 11 1972 Compact convex sets and boundary integrals. Zbl 0209.42601Alfsen, Erik M. 430 1971 On dominated extensions in linear subspaces of \({\mathcal C}_ c(X)\). Zbl 0228.46049Alfsen, Erik M.; Hirsberg, B. 11 1971 Split faces of compact convex sets. Zbl 0207.12204Alfsen, Erik M.; Andersen, T. B. 21 1970 Simplicial decomposition of boundary measures on convex compact sets. Zbl 0193.40805Alfsen, Erik M.; Skau, C. F. 2 1970 Un théorème de Weierstrass-Stone pour les sous-espaces vectoriels de \(C^ R(X)\). Zbl 0198.45701Alfsen, Erik M. 1 1970 Existence et unicité des représentations intégrales par les mesures simpliciales sur la frontière extremale d’un convexe compact. Zbl 0175.13105Alfsen, Erik M.; Skau, Ch. 3 1969 Facial structure of compact convex sets. Zbl 0159.17801Alfsen, Erik M. 9 1968 On the Dirichlet problem of the Choquet boundary. Zbl 0165.15903Alfsen, Erik M. 9 1968 Vertices of Choquet simplexes. Zbl 0188.19003Alfsen, Erik M.; Nordseth, T. 1 1968 Boundary values for homomorphisms of compact convex sets. Zbl 0152.11703Alfsen, Erik M. 9 1966 A note on the Borel structure of a metrizable Choquet simplex and of its extreme boundary. Zbl 0149.33702Alfsen, Erik M. 5 1966 On the decomposition of a Choquet simplex into a direct convex sum of complementary faces. Zbl 0189.42801Alfsen, Erik M. 7 1965 A measure theoretic characterization of Choquet simplexes. Zbl 0189.42702Alfsen, Erik M. 3 1965 On the geometry of Choquet simplexes. Zbl 0189.42802Alfsen, Erik M. 22 1964 A simplified constructive proof of the existence and uniqueness of Haar measure. Zbl 0274.43001Alfsen, Erik M. 3 1964 Order theoretic foundations of integration. Zbl 0111.25605Alfsen, Erik M. 12 1963 Totality of uniform structures with linearly ordered base. Zbl 0117.39901Alfsen, Erik M.; Njåstad, Olav 6 1963 Proximity and generalized uniformity. Zbl 0122.41401Alfsen, Erik M.; Njåstad, Olav 5 1963 A note on compact representations and almost periodicity in topological groups. Zbl 0132.36102Alfsen, Erik M.; Holm, Per 24 1962 The optimal Lebesgue-Radon-Nikodym inequality. Zbl 0129.27103Alfsen, Erik M. 1 1962 On the equivalence between proximity structures and totally bounded uniform structures. Zbl 0095.37203Alfsen, Erik M.; Fenstad, Jens Erik 11 1960 A note on completion and compactification. Zbl 0141.20502Alfsen, Erik M.; Fenstad, Jens Erik 10 1960 A remark concerning the article: ’On a general theory of integration based on order’. Zbl 0173.05202Alfsen, Erik M. 2 1959 On a general theory of integration based on order. Zbl 0083.27401Alfsen, Erik M. 2 1958 Schéma lagrangien de la théorie de l’électron de Flint. Zbl 0042.21704Alfsen, Erik M. 1 1951 all cited Publications top 5 cited Publications all top 5 Cited by 689 Authors 30 Spurný, Jiří 22 Edwards, Christopher Martin 22 Pulmannová, Sylvia 17 Dvurečenskij, Anatolij 16 Foulis, David James 13 Rao, T. S. S. R. K. 12 Alfsen, Erik M. 11 Rüttimann, Gottfried Traugott 10 Batty, Charles J. K. 10 Lima, Asvald 9 Niestegge, Gerd 9 Roy, Ashoke K. 9 Shultz, Frederic W. 9 Weis, Stephan 8 Ellis, Alan John 8 Mukhamedov, Farruh Maksutovich 8 Rodríguez Palacios, Angel 8 Rondoš, Jakub 7 Bugajski, Sławomir 7 Fuchssteiner, Benno 7 Jenčová, Anna 7 Kalenda, Ondřej F. K. 7 Kutateladze, Semën Samsonovich 7 Kye, Seunghyeok 7 Payá, Rafael 6 Ayupov, Shavkat Abdullaevich 6 Behrends, Ehrhard 6 Bunce, Leslie J. 6 Kaniuth, Eberhard 6 Lin, Huaxin 6 Lupini, Martino 6 Peralta, Antonio M. 6 Riečan, Beloslav 6 Wright, John David Maitland 6 Wu, Wei 5 Barnum, Howard 5 Briem, Eggert 5 Chu, Choho 5 Cook, Thurlow A. 5 Effros, Edward George 5 Friedman, Yaakov 5 Goodearl, Kenneth R. 5 Iochum, Bruno 5 Lazar, Aldo J. 5 Størmer, Erling 5 Wilce, Alexander 4 Blecher, David P. 4 Di Concilio, Anna 4 Handelman, David E. 4 Karn, Anil Kumar 4 Kusraev, Anatoly Georgievich 4 Mach, Jaroslav 4 Majewski, Wladyslaw Adam 4 Mena Jurado, Juan Francisco 4 Ng, Chi-Keung 4 Oja, Eve 4 Russo, Bernard 4 Smith, Roger R. 4 Ustinov, G. M. 4 Youngson, Martin A. 3 Abbati, Maria Cristina 3 Bikchentaev, Aĭrat Midkhatovich 3 Cabrera-Serrano, Ana M. 3 Chen, Lin 3 Davies, Edward Brian 3 Deutsch, Frank 3 El Kadiri, Mohamed 3 Erkurşun Özcan, Nazife 3 Flor, Peter 3 Ghatak, Anindya 3 Guadagni, Clara 3 Ha, Kilchan 3 Hamhalter, Jan 3 Han, Kyung Hoon 3 Hauenschild, Wilfried 3 Hess, Hans-Ulrich 3 Jacobs, Bart 3 Kennedy, Matthew 3 Latrémolière, Frédéric 3 Lemmens, Bas 3 Lim, Yongdo 3 Loupias, Guy 3 Lukes, Jaroslav 3 Mai, Jan-Frederik 3 Manià, Alessandro 3 Matsuoka, Cho-ichiro 3 Müller, Markus P. 3 Njåstad, Olav 3 Perera, Francesc 3 Posiewnik, Andrzej 3 Remus, Dieter 3 Roelands, Mark 3 Rogalski, Marc 3 Roth, Walter J. 3 Saatkamp, Klaus 3 Shultz, Fred 3 Stacey, Peter J. 3 Thiel, Hannes 3 Tylec, Tomasz I. 3 Upmeier, Harald ...and 589 more Authors all top 5 Cited in 173 Serials 55 Journal of Functional Analysis 52 Mathematische Annalen 42 Mathematische Zeitschrift 32 International Journal of Theoretical Physics 30 Journal of Mathematical Analysis and Applications 24 Israel Journal of Mathematics 21 Mathematical Proceedings of the Cambridge Philosophical Society 21 Proceedings of the American Mathematical Society 18 Communications in Mathematical Physics 18 Journal of Mathematical Physics 17 Reports on Mathematical Physics 17 Transactions of the American Mathematical Society 16 Archiv der Mathematik 15 Foundations of Physics 14 Siberian Mathematical Journal 13 Annales de l’Institut Fourier 13 Positivity 12 Linear Algebra and its Applications 11 Mathematical Notes 11 Journal of Algebra 11 Journal of Approximation Theory 9 Bulletin of the Australian Mathematical Society 9 Acta Mathematica 9 Mathematica Slovaca 8 Advances in Mathematics 8 Inventiones Mathematicae 8 Topology and its Applications 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Reviews in Mathematical Physics 6 Glasgow Mathematical Journal 6 Monatshefte für Mathematik 5 Rocky Mountain Journal of Mathematics 5 Fuzzy Sets and Systems 5 Manuscripta Mathematica 5 Bulletin of the American Mathematical Society 5 Advances in Operator Theory 4 Communications in Algebra 4 Duke Mathematical Journal 4 Journal of Multivariate Analysis 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 Journal of Convex Analysis 4 Quantum Information Processing 4 Matematický Časopis, Slovenskej Akadémie Vied 4 Banach Journal of Mathematical Analysis 3 Studia Mathematica 3 Arkiv för Matematik 3 Journal of Geometry and Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Canadian Journal of Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 Results in Mathematics 3 Semigroup Forum 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Soft Computing 3 Revista Matemática Complutense 3 Journal of the Australian Mathematical Society 2 Linear and Multilinear Algebra 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Statistics 2 Bulletin of the London Mathematical Society 2 Dissertationes Mathematicae 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Integral Equations and Operator Theory 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 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 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 New Journal of Physics 2 Central European Journal of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Asian-European Journal of Mathematics 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Analysis Mathematica 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Statistical Physics 1 Physics Letters. A ...and 73 more Serials all top 5 Cited in 54 Fields 530 Functional analysis (46-XX) 138 Quantum theory (81-XX) 128 Operator theory (47-XX) 108 Nonassociative rings and algebras (17-XX) 56 Order, lattices, ordered algebraic structures (06-XX) 53 Mathematical logic and foundations (03-XX) 52 General topology (54-XX) 49 Measure and integration (28-XX) 49 Convex and discrete geometry (52-XX) 37 Probability theory and stochastic processes (60-XX) 35 Approximations and expansions (41-XX) 30 Topological groups, Lie groups (22-XX) 19 Potential theory (31-XX) 19 Abstract harmonic analysis (43-XX) 17 Real functions (26-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Information and communication theory, circuits (94-XX) 12 Category theory; homological algebra (18-XX) 12 Differential geometry (53-XX) 10 Associative rings and algebras (16-XX) 10 Statistics (62-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Group theory and generalizations (20-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Operations research, mathematical programming (90-XX) 6 Computer science (68-XX) 5 \(K\)-theory (19-XX) 5 Partial differential equations (35-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-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 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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