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Paterson, Alan L. T.

Author ID: paterson.alan-l-t Recent zbMATH articles by "Paterson, Alan L. T."
Published as: Paterson, Alan L. T.; Paterson, A. L. T.; Paterson, Alan L. T

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 700 times in 618 Documents Cited by Year
Amenability. Zbl 0648.43001
Paterson, Alan L. T.
225
1988
Groupoids, inverse semigroups, and their operator algebras. Zbl 0913.22001
Paterson, Alan L. T.
179
1999
Amenability for discrete convolution semigroup algebras. Zbl 0748.46027
Duncan, J.; Paterson, A. L. T.
54
1990
Graph inverse semigroups, groupoids and their \(C^*\)-algebras. Zbl 1031.46060
Paterson, Alan L. T.
49
2002
A review of manufacturing flexibility. Zbl 0968.90042
Beach, R.; Muhlemann, A. P.; Price, D. H. R.; Paterson, A.; Sharp, J. A.
25
2000
Inner amenable locally compact groups. Zbl 0718.43002
Lau, Anthony To-Ming; Paterson, Alan L. T.
20
1991
Isometries between \(B^*\)-algebras. Zbl 0181.14301
Paterson, Alan L. T.
17
1969
The exact cardinality of the set of topological left invariant means of an amenable locally compact group. Zbl 0595.43003
Lau, Anthony To-Ming; Paterson, Alan L. T.
16
1986
\(C^*\)-algebra of inverse semigroups. Zbl 0551.46045
Duncan, J.; Paterson, A. L. T.
15
1985
Characterisation of isometries between C\(^*\)-algebras. Zbl 0248.46046
Paterson, Alan L. T.; Sinclair, A. M.
12
1972
Contractive spectral triples for crossed products. Zbl 1316.58006
Paterson, Alan L. T.
9
2014
Continuous family groupoids. Zbl 0992.22001
Paterson, Alan L. T.
8
2000
Nuclear \(C^*\)-algebras have amenable unitary groups. Zbl 0786.46046
Paterson, Alan L. T.
8
1992
Operator theoretic characterizations of [IN]-groups and inner amenability. Zbl 0644.43002
Lau, Anthony To-Ming; Paterson, Alan L. T.
8
1988
Group amenability properties for von Neumann algebras. Zbl 1106.22008
Lau, Anthony T.; Paterson, Alan L. T.
7
2006
Weak containment and Clifford semigroups. Zbl 0396.43006
Paterson, Alan L. T.
6
1978
The Fourier algebra for locally compact groupoids. Zbl 1061.43008
Paterson, Alan L. T.
6
2004
The class of locally compact groups G for which \(C^*(G)\) is amenable. Zbl 0667.43002
Paterson, Alan L. T.
6
1988
Invariant subspace theorems for amenable groups. Zbl 0703.47004
Lau, A. T.; Paterson, A. L. T.; Wong, J. C. S.
4
1989
Invariant measure semigroups. Zbl 0355.22003
Paterson, Alan L. T.
4
1977
Virtual diagonals and \(n\)-amenability for Banach algebras. Zbl 0886.46053
Paterson, Alan L. T.
4
1996
Cross-sections and an explicit formula for the Plancherel measure on a nilpotent Lie group. Zbl 0627.43006
Paterson, Alan L. T.
4
1988
Monogenic inverse semigroups and their \(C^*\)-algebras. Zbl 0557.47027
Conway, J. B.; Duncan, J.; Paterson, A. L. T.
4
1984
The analytic index for proper, Lie groupoid actions. Zbl 0995.19005
Paterson, Alan L. T.
3
2001
Amenability for twisted covariance algebras and group \(C^*\)-algebras. Zbl 0737.43003
Lau, Anthony T.; Paterson, Alan L. T.
3
1991
Higher-dimensional virtual diagonals and ideal cohomology for triangular algebras. Zbl 0873.47028
Paterson, Alan L. T.; Smith, Roger R.
3
1997
A non-probabilistic approach to Poisson spaces. Zbl 0511.43001
Paterson, Alan L. T.
3
1983
Tychonoff’s theorem for locally compact spaces and an elementary approach to the topology of path spaces. Zbl 1099.54010
Paterson, Alan L. T.; Welch, Amy E.
3
2005
The equivariant analytic index for proper groupoid actions. Zbl 1075.19002
Paterson, Alan L. T.
3
2004
Nonamenability and Borel paradoxical decompositions for locally compact groups. Zbl 0604.28011
Paterson, Alan L. T.
3
1986
A system to support the enhancement of strategic flexibility in manufacturing enterprises. Zbl 0937.90026
Price, D. H. R.; Beach, R.; Muhlemann, A. P.; Sharp, J. A.; Paterson, A.
2
1998
Harmonic analysis on unitary groups. Zbl 0526.22004
Paterson, Alan L. T.
2
1983
Amenable groups for which every topological left invariant mean is invariant. Zbl 0429.43001
Paterson, Alan L. T.
2
1979
Amenability and locally compact semigroups. Zbl 0396.43005
Paterson, Alan L. T.
2
1978
Ergodic sequences and a subspace of B(G). Zbl 0671.43002
Milnes, Paul; Paterson, Alan L. T.
2
1988
The cardinality of the set of left invariant means on a left amenable semigroup. Zbl 0562.43002
Paterson, Alan L. T.
2
1985
\(C^*\)-algebras of Clifford semigroups. Zbl 0681.46052
Duncan, John; Paterson, A. L. T.
1
1989
Solutions of equations involving analytic functions defined on subsets of a Banach algebra. Zbl 0212.15202
Paterson, A. L. T.
1
1971
The E-theoretic descent functor for groupoids. Zbl 1168.19003
Paterson, Alan L. T.
1
2008
An integral representation of positive definite functions on a Clifford semigroup. Zbl 0358.43003
Paterson, Alan L. T.
1
1978
Contractive spectral triples for crossed products. Zbl 1316.58006
Paterson, Alan L. T.
9
2014
The E-theoretic descent functor for groupoids. Zbl 1168.19003
Paterson, Alan L. T.
1
2008
Group amenability properties for von Neumann algebras. Zbl 1106.22008
Lau, Anthony T.; Paterson, Alan L. T.
7
2006
Tychonoff’s theorem for locally compact spaces and an elementary approach to the topology of path spaces. Zbl 1099.54010
Paterson, Alan L. T.; Welch, Amy E.
3
2005
The Fourier algebra for locally compact groupoids. Zbl 1061.43008
Paterson, Alan L. T.
6
2004
The equivariant analytic index for proper groupoid actions. Zbl 1075.19002
Paterson, Alan L. T.
3
2004
Graph inverse semigroups, groupoids and their \(C^*\)-algebras. Zbl 1031.46060
Paterson, Alan L. T.
49
2002
The analytic index for proper, Lie groupoid actions. Zbl 0995.19005
Paterson, Alan L. T.
3
2001
A review of manufacturing flexibility. Zbl 0968.90042
Beach, R.; Muhlemann, A. P.; Price, D. H. R.; Paterson, A.; Sharp, J. A.
25
2000
Continuous family groupoids. Zbl 0992.22001
Paterson, Alan L. T.
8
2000
Groupoids, inverse semigroups, and their operator algebras. Zbl 0913.22001
Paterson, Alan L. T.
179
1999
A system to support the enhancement of strategic flexibility in manufacturing enterprises. Zbl 0937.90026
Price, D. H. R.; Beach, R.; Muhlemann, A. P.; Sharp, J. A.; Paterson, A.
2
1998
Higher-dimensional virtual diagonals and ideal cohomology for triangular algebras. Zbl 0873.47028
Paterson, Alan L. T.; Smith, Roger R.
3
1997
Virtual diagonals and \(n\)-amenability for Banach algebras. Zbl 0886.46053
Paterson, Alan L. T.
4
1996
Nuclear \(C^*\)-algebras have amenable unitary groups. Zbl 0786.46046
Paterson, Alan L. T.
8
1992
Inner amenable locally compact groups. Zbl 0718.43002
Lau, Anthony To-Ming; Paterson, Alan L. T.
20
1991
Amenability for twisted covariance algebras and group \(C^*\)-algebras. Zbl 0737.43003
Lau, Anthony T.; Paterson, Alan L. T.
3
1991
Amenability for discrete convolution semigroup algebras. Zbl 0748.46027
Duncan, J.; Paterson, A. L. T.
54
1990
Invariant subspace theorems for amenable groups. Zbl 0703.47004
Lau, A. T.; Paterson, A. L. T.; Wong, J. C. S.
4
1989
\(C^*\)-algebras of Clifford semigroups. Zbl 0681.46052
Duncan, John; Paterson, A. L. T.
1
1989
Amenability. Zbl 0648.43001
Paterson, Alan L. T.
225
1988
Operator theoretic characterizations of [IN]-groups and inner amenability. Zbl 0644.43002
Lau, Anthony To-Ming; Paterson, Alan L. T.
8
1988
The class of locally compact groups G for which \(C^*(G)\) is amenable. Zbl 0667.43002
Paterson, Alan L. T.
6
1988
Cross-sections and an explicit formula for the Plancherel measure on a nilpotent Lie group. Zbl 0627.43006
Paterson, Alan L. T.
4
1988
Ergodic sequences and a subspace of B(G). Zbl 0671.43002
Milnes, Paul; Paterson, Alan L. T.
2
1988
The exact cardinality of the set of topological left invariant means of an amenable locally compact group. Zbl 0595.43003
Lau, Anthony To-Ming; Paterson, Alan L. T.
16
1986
Nonamenability and Borel paradoxical decompositions for locally compact groups. Zbl 0604.28011
Paterson, Alan L. T.
3
1986
\(C^*\)-algebra of inverse semigroups. Zbl 0551.46045
Duncan, J.; Paterson, A. L. T.
15
1985
The cardinality of the set of left invariant means on a left amenable semigroup. Zbl 0562.43002
Paterson, Alan L. T.
2
1985
Monogenic inverse semigroups and their \(C^*\)-algebras. Zbl 0557.47027
Conway, J. B.; Duncan, J.; Paterson, A. L. T.
4
1984
A non-probabilistic approach to Poisson spaces. Zbl 0511.43001
Paterson, Alan L. T.
3
1983
Harmonic analysis on unitary groups. Zbl 0526.22004
Paterson, Alan L. T.
2
1983
Amenable groups for which every topological left invariant mean is invariant. Zbl 0429.43001
Paterson, Alan L. T.
2
1979
Weak containment and Clifford semigroups. Zbl 0396.43006
Paterson, Alan L. T.
6
1978
Amenability and locally compact semigroups. Zbl 0396.43005
Paterson, Alan L. T.
2
1978
An integral representation of positive definite functions on a Clifford semigroup. Zbl 0358.43003
Paterson, Alan L. T.
1
1978
Invariant measure semigroups. Zbl 0355.22003
Paterson, Alan L. T.
4
1977
Characterisation of isometries between C\(^*\)-algebras. Zbl 0248.46046
Paterson, Alan L. T.; Sinclair, A. M.
12
1972
Solutions of equations involving analytic functions defined on subsets of a Banach algebra. Zbl 0212.15202
Paterson, A. L. T.
1
1971
Isometries between \(B^*\)-algebras. Zbl 0181.14301
Paterson, Alan L. T.
17
1969
all top 5

Cited by 634 Authors

24 Lau, Anthony To-Ming
14 Steinberg, Benjamin
11 Ara, Pere
11 Exel, Ruy
10 Amini, Massoud
10 Clark, Lisa Orloff
10 Shtern, Aleksandr Isaakovich
10 Sims, Aidan
9 Resende, Pedro
8 Lawson, Mark Verus
8 Paterson, Alan L. T.
7 Kaniuth, Eberhard
7 Lledó, Fernando
7 Zhang, Yong
6 Bergelson, Vitaly
6 Bingham, Nicholas Hugh
6 de Castro, Gilles Gonçalves
6 Hazrat, Roozbeh
6 Meyer, Ralf
6 Nam, Tran Giang
6 Ostaszewski, Adam J.
5 Bardyla, Serhii
5 Bédos, Erik
5 Beltiţă, Daniel
5 Burgstaller, Bernhard
5 Buss, Alcides
5 Carrillo-Rouse, Paulo
5 Peralta, Antonio M.
5 Pysiak, Leszek
5 Spronk, Nico
5 Strauss, Dona
5 Tootkaboni, Mohammad Akbari
4 Behrouzi, Farid
4 Bekka, Mohammed el Bachir
4 Carlsen, Toke Meier
4 Cherubini, Alessandra
4 Cordeiro, Luiz Gustavo
4 Crann, Jason
4 Debord, Claire
4 Downarowicz, Tomasz
4 Filali, Mahmoud
4 Ghaffari, Ali
4 Ghahramani, Fereidoun
4 Guido, Daniele
4 Isola, Tommaso
4 Li, Hanfeng
4 Loy, Richard J.
4 Medghalchi, Ali Reza
4 Mesyan, Zachary
4 Nasr-Isfahani, Rasoul
4 Ng, Chi-Keung
4 Pestov, Vladimir G.
4 Raeburn, Iain
4 Rostami, Mehdi
4 Sahami, Amir
4 Soroushmehr, Maedeh
4 Starling, Charles
4 Timmermann, Thomas
3 Aiello, Valeriano
3 an Huef, Astrid
3 Araújo, João
3 Askari-Sayah, M.
3 Banakh, Taras Onufrievich
3 Beltiţă, Ingrid
3 Boccuto, Antonio
3 Bodaghi, Abasalt
3 Bönicke, Christian
3 Ceccherini-Silberstein, Tullio G.
3 Dales, Harold Garth
3 Gonçalves, Daniel
3 Heller, Michał Kazimierz
3 Hindman, Neil
3 Hopfensperger, John
3 Hou, Chengjun
3 Ilie, Monica
3 Jabbari, Ali
3 Lashkarizadeh Bami, M.
3 Lescure, Jean-Marie
3 Li, Kang
3 Li, Xin
3 Miao, Tianxuan
3 Mitchell, James D.
3 Neufang, Matthias
3 Pardo, Enrique
3 Peres, Yuval
3 Popov, Alexey I.
3 Pourabbas, Abdolrasoul
3 Rodaro, Emanuele
3 Runde, Volker
3 Sangani-Monfared, Mehdi
3 Sasin, Wiesław
3 Schlichting, Günter
3 Shi, Enhui
3 Skandalis, Georges
3 Smith, Roger R.
3 Ulger, Ali
3 Wang, Zhengpan
3 Wong, Ngai-Ching
3 Yan, Kesong
3 Yi, Inhyeop
...and 534 more Authors
all top 5

Cited in 179 Serials

55 Journal of Functional Analysis
44 Semigroup Forum
34 Advances in Mathematics
25 Proceedings of the American Mathematical Society
25 Transactions of the American Mathematical Society
22 Journal of Mathematical Analysis and Applications
17 Israel Journal of Mathematics
15 Journal of Algebra
14 Journal of Pure and Applied Algebra
14 Topology and its Applications
13 Journal of Noncommutative Geometry
9 International Journal of Mathematics
8 Ergodic Theory and Dynamical Systems
8 Russian Journal of Mathematical Physics
8 Journal of the Australian Mathematical Society
7 Bulletin of the Australian Mathematical Society
7 Rocky Mountain Journal of Mathematics
6 Journal of Geometry and Physics
6 Expositiones Mathematicae
6 Acta Mathematica Sinica. English Series
6 Groups, Geometry, and Dynamics
4 Communications in Mathematical Physics
4 Journal d’Analyse Mathématique
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Studia Mathematica
4 Archiv der Mathematik
4 Illinois Journal of Mathematics
4 Journal of the London Mathematical Society. Second Series
4 Mathematische Nachrichten
4 Indagationes Mathematicae. New Series
3 Communications in Algebra
3 Annales de l’Institut Fourier
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Demonstratio Mathematica
3 Dissertationes Mathematicae
3 Memoirs of the American Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Journal of the American Mathematical Society
3 International Journal of Algebra and Computation
3 Bulletin des Sciences Mathématiques
3 The Journal of Fourier Analysis and Applications
3 Abstract and Applied Analysis
3 Annals of Mathematics. Second Series
3 Banach Journal of Mathematical Analysis
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 European Journal of Mathematics
2 Houston Journal of Mathematics
2 International Journal of Theoretical Physics
2 Periodica Mathematica Hungarica
2 Bulletin of the London Mathematical Society
2 Commentationes Mathematicae Universitatis Carolinae
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 International Journal of Mathematics and Mathematical Sciences
2 Integral Equations and Operator Theory
2 Journal of Combinatorial Theory. Series A
2 Mathematische Zeitschrift
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Siberian Mathematical Journal
2 Bulletin of the Korean Mathematical Society
2 Information and Computation
2 Forum Mathematicum
2 Tatra Mountains Mathematical Publications
2 Journal of Mathematical Sciences (New York)
2 Discrete and Continuous Dynamical Systems
2 Documenta Mathematica
2 Positivity
2 Matematychni Studiï
2 Journal of Dynamical and Control Systems
2 Lobachevskii Journal of Mathematics
2 Annales Henri Poincaré
2 Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Sarajevo Journal of Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Fixed Point Theory and Applications
2 Operators and Matrices
2 Asian-European Journal of Mathematics
2 Journal of Topology and Analysis
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Algebra Universalis
1 The Annals of Probability
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Functional Analysis and its Applications
1 Fundamenta Mathematicae
1 Indiana University Mathematics Journal
...and 79 more Serials
all top 5

Cited in 46 Fields

297 Functional analysis (46-XX)
224 Abstract harmonic analysis (43-XX)
208 Topological groups, Lie groups (22-XX)
163 Group theory and generalizations (20-XX)
85 Operator theory (47-XX)
72 Dynamical systems and ergodic theory (37-XX)
49 Associative rings and algebras (16-XX)
41 General topology (54-XX)
39 Category theory; homological algebra (18-XX)
33 Combinatorics (05-XX)
30 Global analysis, analysis on manifolds (58-XX)
27 Measure and integration (28-XX)
25 \(K\)-theory (19-XX)
22 Order, lattices, ordered algebraic structures (06-XX)
16 Probability theory and stochastic processes (60-XX)
14 Quantum theory (81-XX)
12 Manifolds and cell complexes (57-XX)
11 Mathematical logic and foundations (03-XX)
8 Number theory (11-XX)
8 Algebraic topology (55-XX)
7 Differential geometry (53-XX)
7 Computer science (68-XX)
5 Nonassociative rings and algebras (17-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Partial differential equations (35-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Functions of a complex variable (30-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General algebraic systems (08-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Convex and discrete geometry (52-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year