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Author ID: murphy.gerard-j Recent zbMATH articles by "Murphy, Gerard J."
Published as: Murphy, G. J.; Murphy, Gerard J.; Murphy, Gerald J.
Documents Indexed: 75 Publications since 1937, including 2 Books
2 Further Contributions
Biographic References: 1 Publication
Co-Authors: 11 Co-Authors with 22 Joint Publications
165 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 732 times in 598 Documents Cited by Year
C\({}^*\)-algebras and operator theory. Zbl 0714.46041
Murphy, Gerard J.
251
1990
Co-amenability of compact quantum groups. Zbl 1011.46056
Bédos, E.; Murphy, G. J.; Tuset, L.
48
2001
Ordered groups and Toeplitz algebras. Zbl 0656.47020
Murphy, G. J.
45
1987
Riesz and Fredholm theory in Banach algebras. Zbl 0534.46034
Barnes, B. A.; Murphy, G. J.; Smyth, M. R. F.; West, T. T.
38
1982
Differential calculi over quantum groups and twisted cyclic cocycles. Zbl 1029.46114
Kustermans, J.; Murphy, G. J.; Tuset, L.
32
2003
Positive definite kernels and Hilbert \(C^*\)-modules. Zbl 0886.46057
Murphy, Gerard J.
31
1997
Crossed products of \(C^*\)-algebras by endomorphisms. Zbl 0843.46050
Murphy, Gerard J.
25
1996
Derivations mapping into the radical. Zbl 0714.46038
Mathieu, Martin; Murphy, Gerard J.
24
1991
Crossed products of \(C^*\)-algebras by semigroups of automorphisms. Zbl 0801.46077
Murphy, Gerard J.
18
1994
Ordered groups and crossed products of \(C^*\)-algebras. Zbl 0741.46026
Murphy, G. J.
18
1991
Toeplitz operators and algebras. Zbl 0725.47026
Murphy, G. J.
12
1991
Diagonality in \(C^*\)-algebras. Zbl 0658.46051
Murphy, G. J.
11
1988
Continuity of the spectrum and spectral radius. Zbl 0474.46038
Murphy, Gerard J.
10
1981
Amenability and coamenability of algebraic quantum groups. Zbl 1022.46043
Bédos, Erik; Murphy, Gerard J.; Tuset, Lars
10
2002
Amenability and co-amenability of algebraic quantum groups II. Zbl 1034.46063
Bédos, E.; Murphy, G. J.; Tuset, L.
10
2003
Unitarily-invariant linear spaces in \(C^*\)-algebras. Zbl 0905.46035
Marcoux, L. W.; Murphy, G. J.
9
1998
\(C^*\)-algebras generated by commuting isometries. Zbl 0853.46055
Murphy, Gerard J.
8
1996
Quantum groups, differential calculi and the eigenvalues of the Laplacian. Zbl 1082.58005
Kustermans, J.; Murphy, G. J.; Tuset, L.
8
2005
Toeplitz operators on generalised \(H^ 2\) spaces. Zbl 0797.47013
Murphy, Gerard J.
7
1992
Spectral radius formulae. Zbl 0453.46037
Murphy, G. J.; West, T. T.
7
1979
Averages of projections. Zbl 0614.47011
Fong, C. K.; Murphy, G. J.
6
1985
Triangularizable algebras of compact operators. Zbl 0492.47023
Murphy, G. J.
6
1982
Uniqueness of the trace and simplicity. Zbl 0963.46041
Murphy, Gerard J.
6
2000
An index theorem for Toeplitz operators. Zbl 1052.47509
Murphy, Gerard J.
6
1993
Fredholm index theory and the trace. Zbl 0853.47008
Murphy, Gerard J.
6
1994
Primitivity conditions for full group \(C^*\)-algebras. Zbl 1060.46041
Murphy, G. J.
6
2003
Aspects of compact quantum group theory. Zbl 1052.46060
Murphy, G. J.; Tuset, L.
5
2004
Topological and analytical indices in \(C^{\ast}\)-algebras. Zbl 1100.47026
Murphy, G. J.
5
2006
Inner functions and Toeplitz operators. Zbl 0792.47029
Murphy, Gerard J.
4
1993
The analytic rank of a \(C^*\)-algebra. Zbl 0810.46066
Murphy, Gerard J.
4
1992
Extensions of multipliers and dilations of projective isometric representations. Zbl 0860.47003
Murphy, Gerard J.
4
1997
Optimal synthesis of linear pulse-width-modulated computer-controlled systems. Zbl 0143.13002
Murphy, G. J.; Meksawan, T.
4
1964
Spectral and index theory for Toeplitz operators. Zbl 0706.47015
Murphy, G. J.
4
1991
Decomposition of index-zero Fredholm operators. Zbl 0474.47007
Murphy, G. J.; West, T. T.
3
1981
Lie ideals in associative algebras. Zbl 0544.16013
Murphy, G. J.
3
1984
Aspects of the theory of derivations. Zbl 0811.46045
Murphy, Gerard J.
3
1994
Almost-invertible Toeplitz operators and K-theory. Zbl 0779.47024
Murphy, Gerard J.
3
1992
Simplicity of crossed products by endomorphisms. Zbl 1018.46035
Murphy, Gerard J.
3
2002
Toeplitz operators associated to unimodular algebras. Zbl 1044.46042
Murphy, Gerard J.
3
2003
Associative and Lie subalgebras of finite codimension. Zbl 0556.46031
Murphy, G. J.; Radjavi, H.
2
1985
Self-dual subnormal operators. Zbl 0505.47014
Murphy, G. J.
2
1982
Partially ordered groups. Zbl 0804.06016
Murphy, Gerard J.
2
1992
Commutative non-Archimedean \(C^*\)-algebras. Zbl 0393.46054
Murphy, Gerard J.
2
1978
The index theory associated to a non-finite trace on a \(C^*\)-algebra. Zbl 1087.46040
Murphy, G. J.
2
2005
Invariant ideals in Toeplitz algebras. Zbl 0951.46030
Murphy, Gerard J.
2
1999
Ideals and Lie ideals of operators. Zbl 0659.47040
Fong, C. K.; Murphy, G. J.
2
1987
The index group, the exponential spectrum, and some spectral containment theorems. Zbl 0741.47001
Murphy, Gerald J.
2
1992
Lifting sets and the Calkin algebra. Zbl 0483.47002
Murphy, G. J.
1
1982
Hyperinvariant subspaces and the topology on Lat A. Zbl 0488.47003
Murphy, G. J.
1
1984
\(C^*\)-dynamical systems and covariance algebras. Zbl 0771.46034
Murphy, G. J.
1
1991
Decomposition algebras of Riesz operators. Zbl 0448.47011
Murphy, G. J.; West, T. T.
1
1980
Products of positive operators. Zbl 0887.47018
Murphy, Gerard J.
1
1997
Products of Toeplitz operators. Zbl 0902.47027
Murphy, Gerard J.
1
1997
Toeplitz operators. Zbl 0962.47503
Murphy, G. J.
1
1989
Compact topological semigroups. Zbl 0909.22005
Abodayeh, K.; Murphy, G. J.
1
1997
Representation and index theory for Toeplitz operators. Zbl 1202.47033
Murphy, G. J.
1
2010
Optimum design of nonlinear sampled-data control systems. Zbl 0112.06204
Meksawan, T.; Murphy, G. J.
1
1963
Representation and index theory for Toeplitz operators. Zbl 1202.47033
Murphy, G. J.
1
2010
Topological and analytical indices in \(C^{\ast}\)-algebras. Zbl 1100.47026
Murphy, G. J.
5
2006
Quantum groups, differential calculi and the eigenvalues of the Laplacian. Zbl 1082.58005
Kustermans, J.; Murphy, G. J.; Tuset, L.
8
2005
The index theory associated to a non-finite trace on a \(C^*\)-algebra. Zbl 1087.46040
Murphy, G. J.
2
2005
Aspects of compact quantum group theory. Zbl 1052.46060
Murphy, G. J.; Tuset, L.
5
2004
Differential calculi over quantum groups and twisted cyclic cocycles. Zbl 1029.46114
Kustermans, J.; Murphy, G. J.; Tuset, L.
32
2003
Amenability and co-amenability of algebraic quantum groups II. Zbl 1034.46063
Bédos, E.; Murphy, G. J.; Tuset, L.
10
2003
Primitivity conditions for full group \(C^*\)-algebras. Zbl 1060.46041
Murphy, G. J.
6
2003
Toeplitz operators associated to unimodular algebras. Zbl 1044.46042
Murphy, Gerard J.
3
2003
Amenability and coamenability of algebraic quantum groups. Zbl 1022.46043
Bédos, Erik; Murphy, Gerard J.; Tuset, Lars
10
2002
Simplicity of crossed products by endomorphisms. Zbl 1018.46035
Murphy, Gerard J.
3
2002
Co-amenability of compact quantum groups. Zbl 1011.46056
Bédos, E.; Murphy, G. J.; Tuset, L.
48
2001
Uniqueness of the trace and simplicity. Zbl 0963.46041
Murphy, Gerard J.
6
2000
Invariant ideals in Toeplitz algebras. Zbl 0951.46030
Murphy, Gerard J.
2
1999
Unitarily-invariant linear spaces in \(C^*\)-algebras. Zbl 0905.46035
Marcoux, L. W.; Murphy, G. J.
9
1998
Positive definite kernels and Hilbert \(C^*\)-modules. Zbl 0886.46057
Murphy, Gerard J.
31
1997
Extensions of multipliers and dilations of projective isometric representations. Zbl 0860.47003
Murphy, Gerard J.
4
1997
Products of positive operators. Zbl 0887.47018
Murphy, Gerard J.
1
1997
Products of Toeplitz operators. Zbl 0902.47027
Murphy, Gerard J.
1
1997
Compact topological semigroups. Zbl 0909.22005
Abodayeh, K.; Murphy, G. J.
1
1997
Crossed products of \(C^*\)-algebras by endomorphisms. Zbl 0843.46050
Murphy, Gerard J.
25
1996
\(C^*\)-algebras generated by commuting isometries. Zbl 0853.46055
Murphy, Gerard J.
8
1996
Crossed products of \(C^*\)-algebras by semigroups of automorphisms. Zbl 0801.46077
Murphy, Gerard J.
18
1994
Fredholm index theory and the trace. Zbl 0853.47008
Murphy, Gerard J.
6
1994
Aspects of the theory of derivations. Zbl 0811.46045
Murphy, Gerard J.
3
1994
An index theorem for Toeplitz operators. Zbl 1052.47509
Murphy, Gerard J.
6
1993
Inner functions and Toeplitz operators. Zbl 0792.47029
Murphy, Gerard J.
4
1993
Toeplitz operators on generalised \(H^ 2\) spaces. Zbl 0797.47013
Murphy, Gerard J.
7
1992
The analytic rank of a \(C^*\)-algebra. Zbl 0810.46066
Murphy, Gerard J.
4
1992
Almost-invertible Toeplitz operators and K-theory. Zbl 0779.47024
Murphy, Gerard J.
3
1992
Partially ordered groups. Zbl 0804.06016
Murphy, Gerard J.
2
1992
The index group, the exponential spectrum, and some spectral containment theorems. Zbl 0741.47001
Murphy, Gerald J.
2
1992
Derivations mapping into the radical. Zbl 0714.46038
Mathieu, Martin; Murphy, Gerard J.
24
1991
Ordered groups and crossed products of \(C^*\)-algebras. Zbl 0741.46026
Murphy, G. J.
18
1991
Toeplitz operators and algebras. Zbl 0725.47026
Murphy, G. J.
12
1991
Spectral and index theory for Toeplitz operators. Zbl 0706.47015
Murphy, G. J.
4
1991
\(C^*\)-dynamical systems and covariance algebras. Zbl 0771.46034
Murphy, G. J.
1
1991
C\({}^*\)-algebras and operator theory. Zbl 0714.46041
Murphy, Gerard J.
251
1990
Toeplitz operators. Zbl 0962.47503
Murphy, G. J.
1
1989
Diagonality in \(C^*\)-algebras. Zbl 0658.46051
Murphy, G. J.
11
1988
Ordered groups and Toeplitz algebras. Zbl 0656.47020
Murphy, G. J.
45
1987
Ideals and Lie ideals of operators. Zbl 0659.47040
Fong, C. K.; Murphy, G. J.
2
1987
Averages of projections. Zbl 0614.47011
Fong, C. K.; Murphy, G. J.
6
1985
Associative and Lie subalgebras of finite codimension. Zbl 0556.46031
Murphy, G. J.; Radjavi, H.
2
1985
Lie ideals in associative algebras. Zbl 0544.16013
Murphy, G. J.
3
1984
Hyperinvariant subspaces and the topology on Lat A. Zbl 0488.47003
Murphy, G. J.
1
1984
Riesz and Fredholm theory in Banach algebras. Zbl 0534.46034
Barnes, B. A.; Murphy, G. J.; Smyth, M. R. F.; West, T. T.
38
1982
Triangularizable algebras of compact operators. Zbl 0492.47023
Murphy, G. J.
6
1982
Self-dual subnormal operators. Zbl 0505.47014
Murphy, G. J.
2
1982
Lifting sets and the Calkin algebra. Zbl 0483.47002
Murphy, G. J.
1
1982
Continuity of the spectrum and spectral radius. Zbl 0474.46038
Murphy, Gerard J.
10
1981
Decomposition of index-zero Fredholm operators. Zbl 0474.47007
Murphy, G. J.; West, T. T.
3
1981
Decomposition algebras of Riesz operators. Zbl 0448.47011
Murphy, G. J.; West, T. T.
1
1980
Spectral radius formulae. Zbl 0453.46037
Murphy, G. J.; West, T. T.
7
1979
Commutative non-Archimedean \(C^*\)-algebras. Zbl 0393.46054
Murphy, Gerard J.
2
1978
Optimal synthesis of linear pulse-width-modulated computer-controlled systems. Zbl 0143.13002
Murphy, G. J.; Meksawan, T.
4
1964
Optimum design of nonlinear sampled-data control systems. Zbl 0112.06204
Meksawan, T.; Murphy, G. J.
1
1963
all top 5

Cited by 669 Authors

15 Murphy, Gerard J.
13 Lipacheva, E. V.
10 Skalski, Adam G.
9 Bikchentaev, Aĭrat Midkhatovich
9 Moslehian, Mohammad Sal
9 Raeburn, Iain
8 Sołtan, Piotr Mikołaj
7 Gumerov, Renat N.
7 Laca, Marcelo
7 Liu, Cheng-Kai
7 Raubenheimer, Heinrich
7 Tomatsu, Reiji
7 Tuset, Lars
6 Aiena, Pietro
6 Deng, Chunyuan
6 Grigoryan, Suren Arshakovich
6 Krähmer, Ulrich
6 Raza, Mohd Arif
6 Shul’man, Viktor Semënovich
5 Barnes, Bruce A.
5 Bédos, Erik
5 Franz, Uwe
5 Hadfield, Tom
5 Heo, Jaeseong
5 Kwaśniewski, Bartosz Kosma
5 Li, Xin
5 Ng, Ping Wong
5 Skeide, Michael
5 Turovskii, Yuri V.
5 Zampini, Alessandro
5 Zhang, Shuang
4 Ay, Serdar
4 Bhat, B. V. Rajarama
4 Burlando, Laura
4 Chirvăsitu, Alexandru
4 Daws, Matthew
4 Gheondea, Aurelian
4 Harte, Robin E.
4 Hosseini, Amin
4 Kaftal, Victor G.
4 Kasprzak, Paweł
4 Kuznetsova, Alla. Yu.
4 Kyed, David
4 Mabrouk, Mohamed
4 Manuĭlov, Vladimir Markovich
4 Marcoux, Laurent W.
4 Pasnicu, Cornel
4 Phillips, N. Christopher
4 Nadeem-Ur-Rehman
4 Winter, Wilhelm
3 Aguilar, Konrad
3 Ahmed, Mamoon A.
3 Ali, Shakir
3 an Huef, Astrid
3 Arambašić, Ljiljana
3 Banica, Teodor
3 Brešar, Matej
3 Carey, Alan L.
3 Farashahi, Arash Ghaani
3 Foulis, David James
3 Grigoryan, T. A.
3 Hovsepyan, Karen H.
3 Ji, Un Cig
3 Kakariadis, Evgenios T. A.
3 Karlovich, Yuri I.
3 Kissin, Edward V.
3 Larsen, Nadia S.
3 Liau, Pao-Kuei
3 Magajna, Bojan
3 Majid, Shahn
3 Mehdipour, Mohammad Javad
3 Molnár, Lajos
3 Neshveyev, Sergey V.
3 Pellonpää, Juha-Pekka
3 Pulmannová, Sylvia
3 Rahimi, Asghar
3 Rajić, Rajna
3 Rennie, Adam
3 Rezapour, Reza
3 Šemrl, Peter
3 Sudo, Takahiro
3 Tepoyan, Vardan Hakobi
3 Xu, Qingxiang
2 Adji, Sriwulan
2 Akbarov, Sergei S.
2 Amini, Massoud
2 Antonevich, Anatolij Borisovich
2 Asadi, Mohammad B.
2 Aukhadiev, M. A.
2 Badi, Adel B.
2 Beltiţă, Daniel
2 Bice, Tristan Matthew
2 Bourhim, Abdellatif
2 Bračič, Janko
2 Brownlowe, Nathan
2 Burgos, María J.
2 Chigogidze, Alex Ch.
2 Das, Biswarup
2 De Commer, Kenny
2 Dehghan, Hossein
...and 569 more Authors
all top 5

Cited in 169 Serials

47 Journal of Functional Analysis
39 Proceedings of the American Mathematical Society
32 Integral Equations and Operator Theory
19 Journal of Mathematical Analysis and Applications
15 Linear Algebra and its Applications
14 Transactions of the American Mathematical Society
14 Lobachevskii Journal of Mathematics
13 Communications in Mathematical Physics
13 Journal of Geometry and Physics
12 Journal of Noncommutative Geometry
10 Positivity
9 International Journal of Theoretical Physics
9 Journal of Mathematical Physics
9 Rocky Mountain Journal of Mathematics
9 International Journal of Mathematics
8 Letters in Mathematical Physics
7 Advances in Mathematics
7 Russian Mathematics
6 Mathematische Zeitschrift
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Acta Mathematica Sinica. English Series
6 Complex Analysis and Operator Theory
5 Communications in Algebra
5 Mathematical Notes
5 Archiv der Mathematik
5 Czechoslovak Mathematical Journal
5 Illinois Journal of Mathematics
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Siberian Mathematical Journal
5 Mediterranean Journal of Mathematics
4 Studia Mathematica
4 Reviews in Mathematical Physics
4 Journal of Pure and Applied Algebra
4 Quaestiones Mathematicae
4 Abstract and Applied Analysis
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Operators and Matrices
4 Annals of Functional Analysis
3 Indian Journal of Pure & Applied Mathematics
3 Applied Mathematics and Computation
3 Journal of Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Memoirs of the American Mathematical Society
3 Ergodic Theory and Dynamical Systems
3 Bulletin of the Iranian Mathematical Society
3 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Journal of Mathematical Sciences (New York)
3 Documenta Mathematica
3 Journal of the Australian Mathematical Society
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Algebra and its Applications
3 Fixed Point Theory and Applications
3 International Journal of Control, I. Series
3 Banach Journal of Mathematical Analysis
3 Journal of \(K\)-Theory
3 Sahand Communications in Mathematical Analysis
3 Advances in Operator Theory
2 General Relativity and Gravitation
2 Houston Journal of Mathematics
2 Linear and Multilinear Algebra
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Dissertationes Mathematicae
2 Glasgow Mathematical Journal
2 Journal of the Mathematical Society of Japan
2 Mathematische Annalen
2 Results in Mathematics
2 Tokyo Journal of Mathematics
2 Topology and its Applications
2 Acta Mathematica Hungarica
2 \(K\)-Theory
2 Revista Matemática Iberoamericana
2 Journal of the Ramanujan Mathematical Society
2 Science in China. Series A
2 Aequationes Mathematicae
2 Indagationes Mathematicae. New Series
2 Filomat
2 Algebras and Representation Theory
2 Nihonkai Mathematical Journal
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Central European Journal of Mathematics
2 Thai Journal of Mathematics
2 International Journal of Wavelets, Multiresolution and Information Processing
2 International Journal of Geometric Methods in Modern Physics
2 Foundations of Physics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Mathematical Extension
2 Korean Journal of Mathematics
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Algebra Universalis
1 Annales de l’Institut Fourier
1 The Annals of Probability
...and 69 more Serials
all top 5

Cited in 48 Fields

423 Functional analysis (46-XX)
240 Operator theory (47-XX)
63 Associative rings and algebras (16-XX)
61 Quantum theory (81-XX)
42 Global analysis, analysis on manifolds (58-XX)
41 Abstract harmonic analysis (43-XX)
39 Topological groups, Lie groups (22-XX)
37 Nonassociative rings and algebras (17-XX)
30 Group theory and generalizations (20-XX)
26 \(K\)-theory (19-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Category theory; homological algebra (18-XX)
15 Probability theory and stochastic processes (60-XX)
13 General topology (54-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
11 Mathematical logic and foundations (03-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Real functions (26-XX)
6 Partial differential equations (35-XX)
6 Differential geometry (53-XX)
5 Combinatorics (05-XX)
5 Number theory (11-XX)
5 Difference and functional equations (39-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Statistics (62-XX)
3 Commutative algebra (13-XX)
3 Measure and integration (28-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Algebraic topology (55-XX)
3 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Numerical analysis (65-XX)
2 Operations research, mathematical programming (90-XX)
2 Systems theory; control (93-XX)
1 Algebraic geometry (14-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year