Edit Profile (opens in new tab) Bernau, Simon J. Compute Distance To: Compute Author ID: bernau.simon-j Published as: Bernau, S. J.; Bernau, Simon J. External Links: MGP Documents Indexed: 46 Publications since 1963 Reviewing Activity: 1 Review Co-Authors: 6 Co-Authors with 15 Joint Publications 109 Co-Co-Authors all top 5 Co-Authors 31 single-authored 6 Huijsmans, Charles Boudewijn 6 Lacey, H. Elton 1 Abian, Alexander 1 de Pagter, Bernardus 1 Smithies, Frank 1 Wojciechowski, Piotr J. all top 5 Serials 5 Pacific Journal of Mathematics 4 Proceedings of the American Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematische Annalen 3 Journal of the Australian Mathematical Society 3 Proceedings of the Cambridge Philosophical Society 2 American Mathematical Monthly 2 Studia Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of the London Mathematical Society 1 Advances in Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Acta Applicandae Mathematicae 1 Journal of the Australian Mathematical Society. Series A 1 Indagationes Mathematicae. New Series 1 Bulletin of the American Mathematical Society 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae all top 5 Fields 20 Functional analysis (46-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 8 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 340 times in 286 Documents Cited by ▼ Year ▼ Unique representation of Archimedean lattice groups and normal Archimedean lattige rings. Zbl 0134.10802Bernau, S. J. 58 1966 Almost f-algebras and d-algebras. Zbl 0707.06009Bernau, S. J.; Huijsmans, C. B. 37 1990 Lateral and Dedekind completion of Archimedean lattice groups. Zbl 0333.06008Bernau, S. J. 23 1976 The lateral completion of an arbitrary lattice group. Zbl 0314.06011Bernau, S. J. 19 1975 The square root of a positive self-adjoint operator. Zbl 0153.45104Bernau, S. J. 17 1968 The order bidual of almost \(f\)-algebras and \(d\)-algebras. Zbl 0851.46003Bernau, S. J.; Huijsmans, C. B. 16 1995 Orthocompletion of lattice groups. Zbl 0136.29103Bernau, S. J. 14 1966 Orthomorphisms of archimedean vector lattices. Zbl 0463.46002Bernau, S. J. 13 1981 Bicontractive projections and reordering of Lsub(p)-spaces. Zbl 0351.46005Bernau, S. J.; Lacey, H. Elton 12 1977 Sums of lattice homomorphisms. Zbl 0780.46004Bernau, S. J.; Huijsmans, C. B.; De Pagter, B. 10 1992 Free abelian lattice groups. Zbl 0157.36801Bernau, S. J. 10 1969 The range of a contractive projection on an L\(_p\)-space. Zbl 0287.46038Bernau, S. J.; Lacey, H. Elton 9 1974 A unified approach to the principle of local reflexivity. Zbl 0473.46010Bernau, S. J. 9 1980 The spectral theorem for normal operators. Zbl 0131.12402Bernau, S. J. 9 1965 Theorems of Korovkin type for L\(_p\)-spaces. Zbl 0259.46030Bernau, S. J. 8 1974 A note on normal operators. Zbl 0161.34901Bernau, S. J.; Smithies, F. 8 1963 Topologies on structure spaces of lattice groups. Zbl 0217.31303Bernau, S. J. 6 1972 Characterizations and classifications of some classical Banach spaces. Zbl 0278.46027Lacey, H. Elton; Bernau, S. J. 5 1974 Jordan canonical forms of matrices AB and BA. Zbl 0693.15005Bernau, Simon J.; Abian, Alexander 5 1988 On the positivity of the unit element in a normed lattice ordered algebra. Zbl 0782.47031Bernau, S. J.; Huijsmans, C. B. 5 1990 On semi-normal lattice rings. Zbl 0128.26202Bernau, S. J. 5 1965 Isotone projection cones. Zbl 0798.46002Bernau, S. J. 4 1993 Hyper-Archimedean vector lattices. Zbl 0274.46010Bernau, S. J. 4 1974 Lateral completion for arbitrary lattice groups. Zbl 0289.06020Bernau, S. J. 4 1974 A note on \(L_p\)-spaces. Zbl 0234.46031Bernau, S. J. 4 1973 Extension of vector lattice homomorphisms. Zbl 0555.47023Bernau, S. J. 3 1986 Images of bilinear mappings into \(\mathbf R^ 3\). Zbl 0860.15029Bernau, S. J.; Wojciechowski, Piotr J. 3 1996 A note on (M)-spaces. Zbl 0196.13403Bernau, S. J. 3 1964 Varieties of lattice groups are closed under \(\mathfrak L\)-completion. Zbl 0374.06010Bernau, S. J. 2 1977 The Schwarz inequality in Archimedean \(f\)-algebras. Zbl 0861.46002Bernau, S. J.; Huijsmans, C. B. 2 1996 A local characterization of Banach lattices with order continuous norm. Zbl 0425.46013Bernau, S. J.; Lacey, H. Elton 2 1976 Extreme eigenvectors of a normal operator. Zbl 0146.12702Bernau, S. J. 2 1967 The spectral theorem for unbounded normal operators. Zbl 0171.12204Bernau, S. J. 2 1966 Free non-abelian lattice groups. Zbl 0185.07501Bernau, S. J. 2 1970 Sums and extensions of vector lattice homomorphisms. Zbl 0788.47027Bernau, S. J. 1 1992 The evaluation of a Putnam integral. Zbl 0676.41035Bernau, S. J. 1 1988 An unbounded spectral mapping theorem. Zbl 0153.45103Bernau, S. J. 1 1968 On bare points. Zbl 0172.16103Bernau, S. J. 1 1969 Products of positive operators. Zbl 0294.47025Bernau, S. J. 1 1974 Images of bilinear mappings into \(\mathbf R^ 3\). Zbl 0860.15029Bernau, S. J.; Wojciechowski, Piotr J. 3 1996 The Schwarz inequality in Archimedean \(f\)-algebras. Zbl 0861.46002Bernau, S. J.; Huijsmans, C. B. 2 1996 The order bidual of almost \(f\)-algebras and \(d\)-algebras. Zbl 0851.46003Bernau, S. J.; Huijsmans, C. B. 16 1995 Isotone projection cones. Zbl 0798.46002Bernau, S. J. 4 1993 Sums of lattice homomorphisms. Zbl 0780.46004Bernau, S. J.; Huijsmans, C. B.; De Pagter, B. 10 1992 Sums and extensions of vector lattice homomorphisms. Zbl 0788.47027Bernau, S. J. 1 1992 Almost f-algebras and d-algebras. Zbl 0707.06009Bernau, S. J.; Huijsmans, C. B. 37 1990 On the positivity of the unit element in a normed lattice ordered algebra. Zbl 0782.47031Bernau, S. J.; Huijsmans, C. B. 5 1990 Jordan canonical forms of matrices AB and BA. Zbl 0693.15005Bernau, Simon J.; Abian, Alexander 5 1988 The evaluation of a Putnam integral. Zbl 0676.41035Bernau, S. J. 1 1988 Extension of vector lattice homomorphisms. Zbl 0555.47023Bernau, S. J. 3 1986 Orthomorphisms of archimedean vector lattices. Zbl 0463.46002Bernau, S. J. 13 1981 A unified approach to the principle of local reflexivity. Zbl 0473.46010Bernau, S. J. 9 1980 Bicontractive projections and reordering of Lsub(p)-spaces. Zbl 0351.46005Bernau, S. J.; Lacey, H. Elton 12 1977 Varieties of lattice groups are closed under \(\mathfrak L\)-completion. Zbl 0374.06010Bernau, S. J. 2 1977 Lateral and Dedekind completion of Archimedean lattice groups. Zbl 0333.06008Bernau, S. J. 23 1976 A local characterization of Banach lattices with order continuous norm. Zbl 0425.46013Bernau, S. J.; Lacey, H. Elton 2 1976 The lateral completion of an arbitrary lattice group. Zbl 0314.06011Bernau, S. J. 19 1975 The range of a contractive projection on an L\(_p\)-space. Zbl 0287.46038Bernau, S. J.; Lacey, H. Elton 9 1974 Theorems of Korovkin type for L\(_p\)-spaces. Zbl 0259.46030Bernau, S. J. 8 1974 Characterizations and classifications of some classical Banach spaces. Zbl 0278.46027Lacey, H. Elton; Bernau, S. J. 5 1974 Hyper-Archimedean vector lattices. Zbl 0274.46010Bernau, S. J. 4 1974 Lateral completion for arbitrary lattice groups. Zbl 0289.06020Bernau, S. J. 4 1974 Products of positive operators. Zbl 0294.47025Bernau, S. J. 1 1974 A note on \(L_p\)-spaces. Zbl 0234.46031Bernau, S. J. 4 1973 Topologies on structure spaces of lattice groups. Zbl 0217.31303Bernau, S. J. 6 1972 Free non-abelian lattice groups. Zbl 0185.07501Bernau, S. J. 2 1970 Free abelian lattice groups. Zbl 0157.36801Bernau, S. J. 10 1969 On bare points. Zbl 0172.16103Bernau, S. J. 1 1969 The square root of a positive self-adjoint operator. Zbl 0153.45104Bernau, S. J. 17 1968 An unbounded spectral mapping theorem. Zbl 0153.45103Bernau, S. J. 1 1968 Extreme eigenvectors of a normal operator. Zbl 0146.12702Bernau, S. J. 2 1967 Unique representation of Archimedean lattice groups and normal Archimedean lattige rings. Zbl 0134.10802Bernau, S. J. 58 1966 Orthocompletion of lattice groups. Zbl 0136.29103Bernau, S. J. 14 1966 The spectral theorem for unbounded normal operators. Zbl 0171.12204Bernau, S. J. 2 1966 The spectral theorem for normal operators. Zbl 0131.12402Bernau, S. J. 9 1965 On semi-normal lattice rings. Zbl 0128.26202Bernau, S. J. 5 1965 A note on (M)-spaces. Zbl 0196.13403Bernau, S. J. 3 1964 A note on normal operators. Zbl 0161.34901Bernau, S. J.; Smithies, F. 8 1963 all cited Publications top 5 cited Publications all top 5 Cited by 268 Authors 14 Conrad, Paul F. 14 Toumi, Mohamed Ali 13 Bernau, Simon J. 11 Jakubík, Ján 10 Boccuto, Antonio 10 Huijsmans, Charles Boudewijn 9 Boulabiar, Karim Mohamed 9 Martínez, Jorge L. 8 Kusraev, Anatoly Georgievich 6 de Pagter, Bernardus 6 Toumi, Nedra 5 Buskes, Gerard J. H. M. 5 Filter, Wolfgang 5 Hager, Anthony W. 4 Ball, Richard N. 4 Jakubikova, Maria 4 Kusraeva, Zalina Anatol’evna 4 Kutateladze, Semën Samsonovich 4 Ma, Jingjing 4 Ramesh, Golla 4 Ton, Daorong 3 Botelho, Fernanda 3 Dimitriou, Xenofon 3 Ercan, Zafer 3 Ganesh, Jadav 3 Jaber, Jamel 3 Johnson, Donald Glen 3 Marra, Vincenzo 3 Oja, Eve 3 Sik, Frantisek 3 Sukumar, Daniel 3 Yılmaz, Ruṣen 2 Baklouti, Hamadi 2 Baronti, Marco 2 Ben Amor, Mohamed Amine 2 Bhunia, Pintu 2 Bigard, Alain 2 Bukhvalov, Alexander V. 2 Byrd, Richard D. 2 Candeloro, Domenico 2 Chil, Elmiloud 2 da Silva, Eduardo Brandani 2 Darnel, Michael R. 2 Das, Kiran Chandra 2 de Andrade Neves, Marcus Vinícius 2 Feki, Kais 2 Fernandez, Dicesar Lass 2 Geyler, Vladimir A. 2 Harte, Robin E. 2 Howard, Peter 2 Jamison, James Edward 2 Lemmens, Bas 2 Lloyd, Justin T. 2 McCleary, Stephen H. 2 Mortad, Mohammed Hichem 2 Nayak, Raj Kumar 2 Németh, Sándor Zoltán 2 Orhon, Mehmet 2 Papanastassiou, Nikolaos 2 Papini, Pier Luigi 2 Paul, Kallol 2 Rennie, Adam 2 Riečan, Beloslav 2 Rump, Wolfgang 2 Russo, Bernard 2 Scheffold, Egon 2 Toumi, Adel 2 Tsinakis, Constantine 2 van den Dungen, Koenraad Lambertus 2 van Gaans, Onno Ward 2 van Rooij, Arnoud C. M. 2 Veksler, Alexander I. 2 Volauf, Peter 2 Wehrung, Friedrich 2 Wolfenstein, Samuel 1 Abbas, Mujahid 1 Abramovich, Yuriĭ Aleksandrovich 1 Aliprantis, Charalambos Dionisios 1 Alpay, Safak 1 Anebri, Adam 1 Applebaum, David B. 1 Aral, Ali 1 Aslantaş, Mustafa 1 Aydin, Abdullah 1 Baker, Abdullah Bin Abu 1 Banaschewski, Bernhard 1 Bandara, Lashi 1 Barbieri, Giuseppina Gerarda 1 Beauzamy, Bernard 1 Ben Amor, Fethi 1 Berberian, Sterling K. 1 Berens, Hubert Anton 1 Beukers, Frits 1 Bixler, J. Patrick 1 Blecher, David P. 1 Bleier, Roger D. 1 Bolaños-Servin, Jorge R. 1 Boyd, Christopher 1 Braunleder, Bruno 1 Bredies, Kristian ...and 168 more Authors all top 5 Cited in 94 Serials 26 Positivity 24 Czechoslovak Mathematical Journal 17 Proceedings of the American Mathematical Society 16 Journal of Mathematical Analysis and Applications 16 Algebra Universalis 10 Mathematica Slovaca 9 Indagationes Mathematicae. New Series 8 Journal of the Australian Mathematical Society 6 Mathematische Zeitschrift 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Linear Algebra and its Applications 5 Journal of Pure and Applied Algebra 5 Journal of Soviet Mathematics 5 Siberian Mathematical Journal 5 Acta Applicandae Mathematicae 4 Communications in Algebra 4 Rocky Mountain Journal of Mathematics 4 Journal of Functional Analysis 4 Mathematische Annalen 4 Quaestiones Mathematicae 4 Transactions of the American Mathematical Society 4 Order 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Periodica Mathematica Hungarica 3 Compositio Mathematica 3 Journal of Algebra 3 Bulletin of the American Mathematical Society 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Journal of Approximation Theory 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Forum Mathematicum 2 The Journal of Analysis 2 Central European Journal of Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Banach Journal of Mathematical Analysis 2 Advances in Operator Theory 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 International Journal of General Systems 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Computing 1 Fuzzy Sets and Systems 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Real Analysis Exchange 1 SIAM Journal on Control and Optimization 1 Tôhoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Tatra Mountains Mathematical Publications 1 Applied Categorical Structures 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 ELA. The Electronic Journal of Linear Algebra 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Analysis (München) 1 Communications of the Korean Mathematical Society 1 Annales Henri Poincaré 1 Quantum Information Processing 1 Journal of Algebra and its Applications 1 Analysis in Theory and Applications 1 International Journal of Number Theory 1 Matematický Časopis, Slovenskej Akadémie Vied 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Journal of Applied and Industrial Mathematics 1 Asian-European Journal of Mathematics 1 Journal of Commutative Algebra 1 Afrika Matematika 1 Carpathian Mathematical Publications 1 Khayyam Journal of Mathematics 1 AIMS Mathematics all top 5 Cited in 40 Fields 129 Order, lattices, ordered algebraic structures (06-XX) 117 Functional analysis (46-XX) 92 Operator theory (47-XX) 15 Measure and integration (28-XX) 14 General topology (54-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Mathematical logic and foundations (03-XX) 8 Commutative algebra (13-XX) 8 Approximations and expansions (41-XX) 7 Associative rings and algebras (16-XX) 5 General algebraic systems (08-XX) 5 Category theory; homological algebra (18-XX) 5 Group theory and generalizations (20-XX) 5 Partial differential equations (35-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Convex and discrete geometry (52-XX) 4 Probability theory and stochastic processes (60-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year