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Araki, Huzihiro

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Author ID: araki.huzihiro Recent zbMATH articles by "Araki, Huzihiro"
Published as: Araki, H.; Araki, Huzihiro
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 137 Publications since 1954, including 15 Books
Reviewing Activity: 71 Reviews
Biographic References: 3 Publications

Publications by Year

Citations contained in zbMATH

100 Publications have been cited 1,878 times in 1,329 Documents Cited by Year
Relative entropy of states of von Neumann algebras. Zbl 0326.46031
Araki, Huzihiro
111
1976
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061
Araki, Huzihiro
94
1971
A classification of factors. Zbl 0206.12901
Araki, H.; Woods, E. J.
76
1968
On an inequality of Lieb and Thirring. Zbl 0705.47020
Araki, Huzihiro
75
1990
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074
Araki, Huzihiro
75
1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054
Araki, Huzihiro
74
1973
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805
Araki, H.
61
1963
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055
Araki, Huzihiro
57
1977
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501
Araki, Huzihiro
56
1999
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401
Araki, H.
52
1964
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906
Araki, H.
52
1960
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001
Araki, H.
50
1969
A remark on Piron’s paper. Zbl 0177.16103
Amemiya, I.; Araki, H.
48
1966
Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014
Araki, Huzihiro
47
1970
On the algebra of all local observables. Zbl 0125.21904
Araki, H.
43
1964
Representations of canonical anticommutation relations. Zbl 0137.23903
Araki, H.; Wyss, W.
38
1964
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003
Araki, Huzihiro; Moriya, Hajime
34
2003
Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046
Araki, Huzihiro; Masuda, Tetsuya
34
1982
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013
Araki, Huzihiro; Yamagami, Shigeru
32
1981
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054
Araki, Huzihiro
31
1975
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066
Araki, Huzihiro; Shiraishi, Masafumi
31
1971
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601
Araki, H.; Woods, E. J.
30
1966
Ground states of the XY-model. Zbl 0581.46058
Araki, Huzihiro; Matsui, Taku
28
1985
Expansional in Banach algebras. Zbl 0257.46054
Araki, Huzihiro
28
1973
Measurement of quantum mechanical operators. Zbl 0095.42502
Araki, Huzihiro; Yanase, Mutsuo M.
28
1960
On the XY-model on two-sided infinite chain. Zbl 0544.46040
Araki, Huzihiro
25
1984
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048
Araki, Huzihiro
24
1973
Type of von Neumann algebra associated with free field. Zbl 0132.43901
Araki, H.
23
1964
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067
Araki, Huzihiro
22
1971
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032
Araki, Huzihiro; Zsidó, László
21
2005
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017
Araki, Huzihiro
20
1985
On a characterization of the state space of quantum mechanics. Zbl 0443.46046
Araki, Huzihiro
20
1980
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048
Araki, Huzihiro
18
1974
Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008
Ho, T. G.; Araki, Huzihiro
16
2000
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101
Araki, H.
16
1968
On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046
Araki, Huzihiro; Evans, David E.
15
1983
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004
Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry
15
1971
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701
Araki, Huzihiro
14
1968
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058
Araki, Huzihiro
13
1987
A remark on transition probability. Zbl 0515.46063
Araki, Huzihiro; Raggio, Guido A.
13
1982
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075
Araki, Huzihiro
13
1972
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201
Araki, H.
13
1960
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029
Araki, Huzihiro; Jurzak, Jean Paul
12
1982
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503
Araki, Huzihiro
11
1980
Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100
Araki, Huzihiro
11
1971
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038
Araki, Huzihiro; Moriya, Hajime
10
2003
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019
Araki, Huzihiro; Barouch, Eytan
10
1983
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048
Araki, Huzihiro
10
1973
On weak time-symmetric gravitational waves. Zbl 0087.23002
Araki, Huzihiro
10
1959
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001
Araki, Huzihiro
9
2009
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052
Araki, Huzihiro; Yamagami, Shigeru
9
1982
On the definition of \(C^*\)-algebras. Zbl 0272.46033
Araki, Huzihiro; Elliott, George A.
9
1973
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093
Araki, Huzihiro
9
1972
On KMS boundary condition. Zbl 0195.28702
Araki, Huzihiro; Miyata, Hideo
9
1968
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
8
2000
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057
Araki, Huzihiro
8
1987
On \({\mathcal O}_{n+1}\). Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
8
1984
On the connection of spin and commutation relations between different fields. Zbl 0119.43901
Araki, Huzihiro
8
1961
Properties of the momentum space analytic function. Zbl 0098.43105
Araki, H.; Burgoyne, N.
8
1960
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006
Araki, Huzihiro
7
2004
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002
Araki, Huzihiro; Moriya, Hajime
7
2002
Symmetry and equilibrium states. Zbl 0341.46043
Araki, Huzihiro; Kishimoto, Akitaka
7
1977
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
7
1962
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040
Araki, Huzihiro
6
1992
Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043
Araki, H.
6
1976
A classification of factors. II. Zbl 0198.17803
Araki, H.
6
1969
Quantum field theory of unstable particles. Zbl 0077.43202
Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo
6
1957
On a pathology in indefinite metric inner product space. Zbl 0505.47028
Araki, Huzihiro
5
1982
On representations of the canonical commutation relations. Zbl 0203.57101
Araki, H.
5
1971
Master symmetries of the XY model. Zbl 0718.46049
Araki, Huzihiro
4
1990
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044
Araki, Huzihiro
4
1989
Analyticity of ground states of the XY-model. Zbl 0591.58018
Araki, Huzihiro; Matsui, Taku
4
1986
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050
Araki, Huzihiro
4
1973
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602
Araki, H.; Woods, E. J.
4
1966
A generalization of Borchers theorem. Zbl 0112.43203
Araki, H.
4
1963
The determination of a local or almost local field from a given current. Zbl 0149.46405
Araki, Huzihiro; Haag, Rudolf; Schroer, Bert
4
1961
Standard potentials for non-even dynamics. Zbl 1113.82037
Araki, Huzihiro
3
2006
Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005
Araki, H. (ed.); Moore, C. C. (ed.); Strătilă, Ş. (ed.); Voiculescu, D. (ed.)
3
1985
On clustering property. Zbl 0342.46048
Araki, Huzihiro; Kishimoto, Akitaka
3
1976
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009
Araki, H. (ed.)
3
1975
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051
Araki, H.; Woods, E. J.
3
1973
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097
Araki, Huzihiro; Nakagami, Yoshiomi
3
1972
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049
Araki, Huzihiro
2
1990
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095
Araki, Huzihiro
2
1986
Positive cones for von Neumann algebras. Zbl 0498.46046
Araki, Huzihiro
2
1982
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064
Araki, Huzihiro
2
1976
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065
Araki, Huzihiro
2
1974
A remark on Bures distance function for normal states. Zbl 0225.46065
Araki, Huzihiro
2
1971
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303
Araki, Huzihiro
2
1957
Super-derivations and associated standard super-potentials. Zbl 1134.82002
Araki, H.
1
2007
Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030
Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel
1
1998
A remark on a connection of return to equilibrium and multiple ground states in some perturbed \(XY\)-model. Zbl 0942.82506
Araki, Huzihiro
1
1994
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057
Araki, Huzihiro
1
1993
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039
Araki, Huzihiro
1
1989
Some contact points of mathematics and physics. Zbl 0515.46062
Araki, Huzihiro
1
1983
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053
Araki, H.
1
1982
Some topics in quantum statistical mechanics. Zbl 0434.46049
Araki, Huzihiro
1
1980
On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054
Araki, Huzihiro
1
1978
One dimensional quantum lattice system. Zbl 0239.46068
Araki, Huzihiro
1
1971
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101
Araki, H.
1
1961
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001
Araki, Huzihiro
9
2009
Super-derivations and associated standard super-potentials. Zbl 1134.82002
Araki, H.
1
2007
Standard potentials for non-even dynamics. Zbl 1113.82037
Araki, Huzihiro
3
2006
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032
Araki, Huzihiro; Zsidó, László
21
2005
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006
Araki, Huzihiro
7
2004
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003
Araki, Huzihiro; Moriya, Hajime
34
2003
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038
Araki, Huzihiro; Moriya, Hajime
10
2003
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002
Araki, Huzihiro; Moriya, Hajime
7
2002
Asymptotic time evolution of a partitioned infinite two-sided isotropic \(XY\)-chain. Zbl 1034.82008
Ho, T. G.; Araki, Huzihiro
16
2000
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
8
2000
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501
Araki, Huzihiro
56
1999
Some infinite-dimensional algebras arising in spin systems and in particle physics and their grand algebra. Zbl 0974.17030
Araki, Huzihiro; Flato, Moshé; Michéa, Sébastien; Sternheimer, Daniel
1
1998
A remark on a connection of return to equilibrium and multiple ground states in some perturbed \(XY\)-model. Zbl 0942.82506
Araki, Huzihiro
1
1994
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057
Araki, Huzihiro
1
1993
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040
Araki, Huzihiro
6
1992
On an inequality of Lieb and Thirring. Zbl 0705.47020
Araki, Huzihiro
75
1990
Master symmetries of the XY model. Zbl 0718.46049
Araki, Huzihiro
4
1990
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics. Zbl 0707.46049
Araki, Huzihiro
2
1990
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044
Araki, Huzihiro
4
1989
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039
Araki, Huzihiro
1
1989
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058
Araki, Huzihiro
13
1987
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057
Araki, Huzihiro
8
1987
Analyticity of ground states of the XY-model. Zbl 0591.58018
Araki, Huzihiro; Matsui, Taku
4
1986
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095
Araki, Huzihiro
2
1986
Ground states of the XY-model. Zbl 0581.46058
Araki, Huzihiro; Matsui, Taku
28
1985
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017
Araki, Huzihiro
20
1985
Operator algebras and their connections with topology and ergodic theory. Proceedings of the OATE Conference held in Buşteni, Romania, August 29 - September 9, 1983. With the assistance of Gr. Arsene. Zbl 0562.00005
Araki, H. (ed.); Moore, C. C. (ed.); Strătilă, Ş. (ed.); Voiculescu, D. (ed.)
3
1985
On the XY-model on two-sided infinite chain. Zbl 0544.46040
Araki, Huzihiro
25
1984
On \({\mathcal O}_{n+1}\). Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
8
1984
On a \(C^*\)-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046
Araki, Huzihiro; Evans, David E.
15
1983
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019
Araki, Huzihiro; Barouch, Eytan
10
1983
Some contact points of mathematics and physics. Zbl 0515.46062
Araki, Huzihiro
1
1983
Positive cones and \(L^p\)-spaces for von Neumann algebras. Zbl 0505.46046
Araki, Huzihiro; Masuda, Tetsuya
34
1982
A remark on transition probability. Zbl 0515.46063
Araki, Huzihiro; Raggio, Guido A.
13
1982
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029
Araki, Huzihiro; Jurzak, Jean Paul
12
1982
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052
Araki, Huzihiro; Yamagami, Shigeru
9
1982
On a pathology in indefinite metric inner product space. Zbl 0505.47028
Araki, Huzihiro
5
1982
Positive cones for von Neumann algebras. Zbl 0498.46046
Araki, Huzihiro
2
1982
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053
Araki, H.
1
1982
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013
Araki, Huzihiro; Yamagami, Shigeru
32
1981
On a characterization of the state space of quantum mechanics. Zbl 0443.46046
Araki, Huzihiro
20
1980
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503
Araki, Huzihiro
11
1980
Some topics in quantum statistical mechanics. Zbl 0434.46049
Araki, Huzihiro
1
1980
On KMS states of a \(C^*\) dynamical system. Zbl 0389.46054
Araki, Huzihiro
1
1978
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055
Araki, Huzihiro
57
1977
Symmetry and equilibrium states. Zbl 0341.46043
Araki, Huzihiro; Kishimoto, Akitaka
7
1977
Relative entropy of states of von Neumann algebras. Zbl 0326.46031
Araki, Huzihiro
111
1976
Positive cone, Radon-Nikodym theorems, relative Hamiltonian and the Gibbs condition in statistical mechanics, an application of the Tomita-Takesaki theory. Zbl 0392.46043
Araki, H.
6
1976
On clustering property. Zbl 0342.46048
Araki, Huzihiro; Kishimoto, Akitaka
3
1976
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064
Araki, Huzihiro
2
1976
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054
Araki, Huzihiro
31
1975
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009
Araki, H. (ed.)
3
1975
Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule. Zbl 0287.46074
Araki, Huzihiro
75
1974
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048
Araki, Huzihiro
18
1974
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065
Araki, Huzihiro
2
1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054
Araki, Huzihiro
74
1973
Expansional in Banach algebras. Zbl 0257.46054
Araki, Huzihiro
28
1973
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048
Araki, Huzihiro
24
1973
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048
Araki, Huzihiro
10
1973
On the definition of \(C^*\)-algebras. Zbl 0272.46033
Araki, Huzihiro; Elliott, George A.
9
1973
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050
Araki, Huzihiro
4
1973
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051
Araki, H.; Woods, E. J.
3
1973
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075
Araki, Huzihiro
13
1972
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093
Araki, Huzihiro
9
1972
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097
Araki, Huzihiro; Nakagami, Yoshiomi
3
1972
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061
Araki, Huzihiro
94
1971
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066
Araki, Huzihiro; Shiraishi, Masafumi
31
1971
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067
Araki, Huzihiro
22
1971
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004
Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry
15
1971
Asymptotic ratio set and property \(L_ \lambda^ \prime\). Zbl 0231.46100
Araki, Huzihiro
11
1971
On representations of the canonical commutation relations. Zbl 0203.57101
Araki, H.
5
1971
A remark on Bures distance function for normal states. Zbl 0225.46065
Araki, Huzihiro
2
1971
One dimensional quantum lattice system. Zbl 0239.46068
Araki, Huzihiro
1
1971
Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space. Zbl 0238.22014
Araki, Huzihiro
47
1970
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001
Araki, H.
50
1969
A classification of factors. II. Zbl 0198.17803
Araki, H.
6
1969
A classification of factors. Zbl 0206.12901
Araki, H.; Woods, E. J.
76
1968
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101
Araki, H.
16
1968
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701
Araki, Huzihiro
14
1968
On KMS boundary condition. Zbl 0195.28702
Araki, Huzihiro; Miyata, Hideo
9
1968
A remark on Piron’s paper. Zbl 0177.16103
Amemiya, I.; Araki, H.
48
1966
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601
Araki, H.; Woods, E. J.
30
1966
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602
Araki, H.; Woods, E. J.
4
1966
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401
Araki, H.
52
1964
On the algebra of all local observables. Zbl 0125.21904
Araki, H.
43
1964
Representations of canonical anticommutation relations. Zbl 0137.23903
Araki, H.; Wyss, W.
38
1964
Type of von Neumann algebra associated with free field. Zbl 0132.43901
Araki, H.
23
1964
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805
Araki, H.
61
1963
A generalization of Borchers theorem. Zbl 0112.43203
Araki, H.
4
1963
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
7
1962
On the connection of spin and commutation relations between different fields. Zbl 0119.43901
Araki, Huzihiro
8
1961
The determination of a local or almost local field from a given current. Zbl 0149.46405
Araki, Huzihiro; Haag, Rudolf; Schroer, Bert
4
1961
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101
Araki, H.
1
1961
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906
Araki, H.
52
1960
Measurement of quantum mechanical operators. Zbl 0095.42502
Araki, Huzihiro; Yanase, Mutsuo M.
28
1960
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201
Araki, H.
13
1960
Properties of the momentum space analytic function. Zbl 0098.43105
Araki, H.; Burgoyne, N.
8
1960
On weak time-symmetric gravitational waves. Zbl 0087.23002
Araki, Huzihiro
10
1959
Quantum field theory of unstable particles. Zbl 0077.43202
Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo
6
1957
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303
Araki, Huzihiro
2
1957
all top 5

Cited by 1,121 Authors

33 Araki, Huzihiro
30 Hiai, Fumio
29 Longo, Roberto
27 Petz, Dénes
18 Buchholz, Detlev
16 Summers, Stephen Jeffrey
15 Carey, Alan L.
15 Matsui, Taku
14 Pillet, Claude-Alain
14 Werner, Reinhard F.
13 Albeverio, Sergio A.
13 Connes, Alain
12 Bru, Jean-Bernard
12 Merkli, Marco
12 Ohya, Masanori
11 Evans, David E.
11 Jakšić, Vojkan
11 Jørgensen, Palle E. T.
11 Vershik, Anatoliĭ Moiseevich
10 Doplicher, Sergio
10 Kosaki, Hideki
10 Narnhofer, Heide
10 Park, Yong Moon
10 Streater, Raymond F.
9 Bratteli, Ola
9 Dvurečenskij, Anatolij
9 Dybalski, Wojciech
9 Fröhlich, Jürg Martin
9 Kishimoto, Akitaka
9 Kittaneh, Fuad
9 Klauder, John Rider
9 Ogata, Yoshiko
9 Robinson, Derek W.
9 Tanimoto, Yoh
9 Yamagami, Shigeru
8 Accardi, Luigi
8 Borchers, Hans-Jürgen
8 Fidaleo, Francesco
8 Fredenhagen, Klaus
8 Graev, Mark Iosifovich
8 Høegh-Krohn, Raphael J.
8 Størmer, Erling
8 Takesaki, Masamichi
8 Tomamichel, Marco
8 Watanabe, Noboru
8 Wichmann, Eyvind H.
7 Bruneau, Laurent
7 Chetcuti, Emmanuel
7 D’Antoni, Claudio
7 Golodets, Valentin Yakovlevich
7 Haagerup, Uffe Valentin
7 Hansen, Frank-Peter
7 Lechner, Gandalf
7 Mukhamedov, Farruh Maksutovich
7 Nakagami, Yoshiomi
7 Olkiewicz, Robert
7 Schroer, Bert
6 Berta, Mario
6 Dappiaggi, Claudio
6 De Siqueira Pedra, Walter
6 Drago, Nicolò
6 Gérard, Christian
6 Guido, Daniele
6 Joye, Alain
6 Junge, Marius
6 Lieb, Elliott H.
6 Moretti, Valter
6 Moriya, Hajime
6 Mosonyi, Milán
6 Neeb, Karl-Hermann
6 Ozawa, Masanao
6 Pedra, W.de Siqueira
6 Pinamonti, Nicola
6 Streit, Ludwig
6 Thirring, Walter E.
6 Verch, Rainer
5 Aschbacher, Walter H.
5 Barnum, Howard
5 Belavkin, Viacheslav
5 Bhatia, Rajendra
5 Bros, Jacques
5 Buhagiar, David
5 Carlen, Eric Anders
5 Dereziński, Jan
5 Driessler, Wulf
5 Epstein, Henri
5 Fewster, Christopher John
5 Hegerfeldt, Gerhard C.
5 Hollands, Stefan
5 Iochum, Bruno
5 Jäkel, Christian D.
5 Kawamura, Katsunori
5 Pedersen, Gert Kjærgård
5 Raggio, Guido A.
5 Roberts, John Elias
5 Ruskai, Mary Beth
5 Ruzzi, Giuseppe
5 Seo, Yuki
5 Vasselli, Ezio
5 Xu, Feng
...and 1,021 more Authors
all top 5

Cited in 162 Serials

252 Communications in Mathematical Physics
147 Journal of Mathematical Physics
86 Journal of Functional Analysis
58 Letters in Mathematical Physics
55 Reviews in Mathematical Physics
53 Publications of the Research Institute for Mathematical Sciences, Kyoto University
36 Linear Algebra and its Applications
35 Journal of Statistical Physics
34 Annales Henri Poincaré
29 International Journal of Theoretical Physics
20 Infinite Dimensional Analysis, Quantum Probability and Related Topics
20 Journal of High Energy Physics
19 Foundations of Physics
18 Annales de l’Institut Henri Poincaré. Physique Théorique
16 Proceedings of the American Mathematical Society
15 Transactions of the American Mathematical Society
14 Reports on Mathematical Physics
14 Functional Analysis and its Applications
13 Journal of Mathematical Analysis and Applications
13 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
12 Theoretical and Mathematical Physics
10 Journal of Geometry and Physics
10 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
9 Open Systems & Information Dynamics
9 Il Nuovo Cimento, X. Series, A
8 Advances in Mathematics
8 Journal of Soviet Mathematics
8 Mathematische Annalen
7 International Journal of Mathematics
7 Il Nuovo Cimento, X. Series
6 Nuclear Physics. B
6 Annales de l’Institut Fourier
5 Linear and Multilinear Algebra
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Physics Reports
5 Ukrainian Mathematical Journal
5 Acta Mathematica
5 Quantum Information Processing
5 Physical Review, II. Series
5 Journal of Physics A: Mathematical and Theoretical
4 General Relativity and Gravitation
4 Reviews of Modern Physics
4 Inventiones Mathematicae
4 Mathematische Nachrichten
4 Mathematische Zeitschrift
4 Tohoku Mathematical Journal. Second Series
4 Acta Applicandae Mathematicae
4 Probability Theory and Related Fields
4 Expositiones Mathematicae
4 New Journal of Physics
4 International Journal of Quantum Information
4 Bulletin of the American Mathematical Society
4 Proceedings of the Japan Academy
4 Journal of Noncommutative Geometry
3 Communications on Pure and Applied Mathematics
3 Israel Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 The Annals of Probability
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Bulletin de la Société Mathématique de France
3 Integral Equations and Operator Theory
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Ergodic Theory and Dynamical Systems
3 Acta Mathematica Hungarica
3 Annals of Physics
3 Algebras and Representation Theory
3 Acta Mathematica Sinica. English Series
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Advances in Operator Theory
2 International Journal of Modern Physics B
2 Indian Journal of Pure & Applied Mathematics
2 Mathematical Notes
2 Studia Mathematica
2 Archiv der Mathematik
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Duke Mathematical Journal
2 Journal of Algebra
2 Journal of Multivariate Analysis
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematica Slovaca
2 Memoirs of the American Mathematical Society
2 Order
2 Sugaku Expositions
2 Bulletin of the American Mathematical Society. New Series
2 Russian Journal of Mathematical Physics
2 Journal of Mathematical Sciences (New York)
2 Positivity
2 Erkenntnis
2 Lobachevskii Journal of Mathematics
2 Physical Review Letters
2 Operators and Matrices
2 Kyoto Journal of Mathematics
2 Publications of the Research Institute for Mathematical Sciences, Series A
2 Forum of Mathematics, Sigma
2 Axioms
2 Quantum Studies: Mathematics and Foundations
2 Special Matrices
...and 62 more Serials
all top 5

Cited in 53 Fields

661 Functional analysis (46-XX)
617 Quantum theory (81-XX)
235 Operator theory (47-XX)
229 Statistical mechanics, structure of matter (82-XX)
97 Probability theory and stochastic processes (60-XX)
77 Topological groups, Lie groups (22-XX)
71 Linear and multilinear algebra; matrix theory (15-XX)
71 Information and communication theory, circuits (94-XX)
53 Relativity and gravitational theory (83-XX)
36 Global analysis, analysis on manifolds (58-XX)
34 Differential geometry (53-XX)
26 Nonassociative rings and algebras (17-XX)
26 Partial differential equations (35-XX)
24 Mathematical logic and foundations (03-XX)
23 Measure and integration (28-XX)
23 Dynamical systems and ergodic theory (37-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
18 Associative rings and algebras (16-XX)
18 Abstract harmonic analysis (43-XX)
13 Statistics (62-XX)
12 Group theory and generalizations (20-XX)
8 Real functions (26-XX)
7 Number theory (11-XX)
7 Mechanics of particles and systems (70-XX)
6 Functions of a complex variable (30-XX)
6 General topology (54-XX)
5 Category theory; homological algebra (18-XX)
5 Manifolds and cell complexes (57-XX)
5 Numerical analysis (65-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Potential theory (31-XX)
4 Computer science (68-XX)
4 Optics, electromagnetic theory (78-XX)
3 Algebraic geometry (14-XX)
3 \(K\)-theory (19-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Geometry (51-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Fluid mechanics (76-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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