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Author ID: bernau.simon-j Recent zbMATH articles by "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

Publications by Year

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 0134.10802
Bernau, S. J.
58
1966
Almost f-algebras and d-algebras. Zbl 0707.06009
Bernau, S. J.; Huijsmans, C. B.
37
1990
Lateral and Dedekind completion of Archimedean lattice groups. Zbl 0333.06008
Bernau, S. J.
23
1976
The lateral completion of an arbitrary lattice group. Zbl 0314.06011
Bernau, S. J.
19
1975
The square root of a positive self-adjoint operator. Zbl 0153.45104
Bernau, S. J.
17
1968
The order bidual of almost \(f\)-algebras and \(d\)-algebras. Zbl 0851.46003
Bernau, S. J.; Huijsmans, C. B.
16
1995
Orthocompletion of lattice groups. Zbl 0136.29103
Bernau, S. J.
14
1966
Orthomorphisms of archimedean vector lattices. Zbl 0463.46002
Bernau, S. J.
13
1981
Bicontractive projections and reordering of Lsub(p)-spaces. Zbl 0351.46005
Bernau, S. J.; Lacey, H. Elton
12
1977
Sums of lattice homomorphisms. Zbl 0780.46004
Bernau, S. J.; Huijsmans, C. B.; De Pagter, B.
10
1992
Free abelian lattice groups. Zbl 0157.36801
Bernau, S. J.
10
1969
The range of a contractive projection on an L\(_p\)-space. Zbl 0287.46038
Bernau, S. J.; Lacey, H. Elton
9
1974
A unified approach to the principle of local reflexivity. Zbl 0473.46010
Bernau, S. J.
9
1980
The spectral theorem for normal operators. Zbl 0131.12402
Bernau, S. J.
9
1965
Theorems of Korovkin type for L\(_p\)-spaces. Zbl 0259.46030
Bernau, S. J.
8
1974
A note on normal operators. Zbl 0161.34901
Bernau, S. J.; Smithies, F.
8
1963
Topologies on structure spaces of lattice groups. Zbl 0217.31303
Bernau, S. J.
6
1972
Characterizations and classifications of some classical Banach spaces. Zbl 0278.46027
Lacey, H. Elton; Bernau, S. J.
5
1974
Jordan canonical forms of matrices AB and BA. Zbl 0693.15005
Bernau, Simon J.; Abian, Alexander
5
1988
On the positivity of the unit element in a normed lattice ordered algebra. Zbl 0782.47031
Bernau, S. J.; Huijsmans, C. B.
5
1990
On semi-normal lattice rings. Zbl 0128.26202
Bernau, S. J.
5
1965
Isotone projection cones. Zbl 0798.46002
Bernau, S. J.
4
1993
Hyper-Archimedean vector lattices. Zbl 0274.46010
Bernau, S. J.
4
1974
Lateral completion for arbitrary lattice groups. Zbl 0289.06020
Bernau, S. J.
4
1974
A note on \(L_p\)-spaces. Zbl 0234.46031
Bernau, S. J.
4
1973
Extension of vector lattice homomorphisms. Zbl 0555.47023
Bernau, S. J.
3
1986
Images of bilinear mappings into \(\mathbf R^ 3\). Zbl 0860.15029
Bernau, S. J.; Wojciechowski, Piotr J.
3
1996
A note on (M)-spaces. Zbl 0196.13403
Bernau, S. J.
3
1964
Varieties of lattice groups are closed under \(\mathfrak L\)-completion. Zbl 0374.06010
Bernau, S. J.
2
1977
The Schwarz inequality in Archimedean \(f\)-algebras. Zbl 0861.46002
Bernau, S. J.; Huijsmans, C. B.
2
1996
A local characterization of Banach lattices with order continuous norm. Zbl 0425.46013
Bernau, S. J.; Lacey, H. Elton
2
1976
Extreme eigenvectors of a normal operator. Zbl 0146.12702
Bernau, S. J.
2
1967
The spectral theorem for unbounded normal operators. Zbl 0171.12204
Bernau, S. J.
2
1966
Free non-abelian lattice groups. Zbl 0185.07501
Bernau, S. J.
2
1970
Sums and extensions of vector lattice homomorphisms. Zbl 0788.47027
Bernau, S. J.
1
1992
The evaluation of a Putnam integral. Zbl 0676.41035
Bernau, S. J.
1
1988
An unbounded spectral mapping theorem. Zbl 0153.45103
Bernau, S. J.
1
1968
On bare points. Zbl 0172.16103
Bernau, S. J.
1
1969
Products of positive operators. Zbl 0294.47025
Bernau, S. J.
1
1974
Images of bilinear mappings into \(\mathbf R^ 3\). Zbl 0860.15029
Bernau, S. J.; Wojciechowski, Piotr J.
3
1996
The Schwarz inequality in Archimedean \(f\)-algebras. Zbl 0861.46002
Bernau, S. J.; Huijsmans, C. B.
2
1996
The order bidual of almost \(f\)-algebras and \(d\)-algebras. Zbl 0851.46003
Bernau, S. J.; Huijsmans, C. B.
16
1995
Isotone projection cones. Zbl 0798.46002
Bernau, S. J.
4
1993
Sums of lattice homomorphisms. Zbl 0780.46004
Bernau, S. J.; Huijsmans, C. B.; De Pagter, B.
10
1992
Sums and extensions of vector lattice homomorphisms. Zbl 0788.47027
Bernau, S. J.
1
1992
Almost f-algebras and d-algebras. Zbl 0707.06009
Bernau, S. J.; Huijsmans, C. B.
37
1990
On the positivity of the unit element in a normed lattice ordered algebra. Zbl 0782.47031
Bernau, S. J.; Huijsmans, C. B.
5
1990
Jordan canonical forms of matrices AB and BA. Zbl 0693.15005
Bernau, Simon J.; Abian, Alexander
5
1988
The evaluation of a Putnam integral. Zbl 0676.41035
Bernau, S. J.
1
1988
Extension of vector lattice homomorphisms. Zbl 0555.47023
Bernau, S. J.
3
1986
Orthomorphisms of archimedean vector lattices. Zbl 0463.46002
Bernau, S. J.
13
1981
A unified approach to the principle of local reflexivity. Zbl 0473.46010
Bernau, S. J.
9
1980
Bicontractive projections and reordering of Lsub(p)-spaces. Zbl 0351.46005
Bernau, S. J.; Lacey, H. Elton
12
1977
Varieties of lattice groups are closed under \(\mathfrak L\)-completion. Zbl 0374.06010
Bernau, S. J.
2
1977
Lateral and Dedekind completion of Archimedean lattice groups. Zbl 0333.06008
Bernau, S. J.
23
1976
A local characterization of Banach lattices with order continuous norm. Zbl 0425.46013
Bernau, S. J.; Lacey, H. Elton
2
1976
The lateral completion of an arbitrary lattice group. Zbl 0314.06011
Bernau, S. J.
19
1975
The range of a contractive projection on an L\(_p\)-space. Zbl 0287.46038
Bernau, S. J.; Lacey, H. Elton
9
1974
Theorems of Korovkin type for L\(_p\)-spaces. Zbl 0259.46030
Bernau, S. J.
8
1974
Characterizations and classifications of some classical Banach spaces. Zbl 0278.46027
Lacey, H. Elton; Bernau, S. J.
5
1974
Hyper-Archimedean vector lattices. Zbl 0274.46010
Bernau, S. J.
4
1974
Lateral completion for arbitrary lattice groups. Zbl 0289.06020
Bernau, S. J.
4
1974
Products of positive operators. Zbl 0294.47025
Bernau, S. J.
1
1974
A note on \(L_p\)-spaces. Zbl 0234.46031
Bernau, S. J.
4
1973
Topologies on structure spaces of lattice groups. Zbl 0217.31303
Bernau, S. J.
6
1972
Free non-abelian lattice groups. Zbl 0185.07501
Bernau, S. J.
2
1970
Free abelian lattice groups. Zbl 0157.36801
Bernau, S. J.
10
1969
On bare points. Zbl 0172.16103
Bernau, S. J.
1
1969
The square root of a positive self-adjoint operator. Zbl 0153.45104
Bernau, S. J.
17
1968
An unbounded spectral mapping theorem. Zbl 0153.45103
Bernau, S. J.
1
1968
Extreme eigenvectors of a normal operator. Zbl 0146.12702
Bernau, S. J.
2
1967
Unique representation of Archimedean lattice groups and normal Archimedean lattige rings. Zbl 0134.10802
Bernau, S. J.
58
1966
Orthocompletion of lattice groups. Zbl 0136.29103
Bernau, S. J.
14
1966
The spectral theorem for unbounded normal operators. Zbl 0171.12204
Bernau, S. J.
2
1966
The spectral theorem for normal operators. Zbl 0131.12402
Bernau, S. J.
9
1965
On semi-normal lattice rings. Zbl 0128.26202
Bernau, S. J.
5
1965
A note on (M)-spaces. Zbl 0196.13403
Bernau, S. J.
3
1964
A note on normal operators. Zbl 0161.34901
Bernau, S. J.; Smithies, F.
8
1963
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