## Araki, Huzihiro

Compute Distance To:
 Author ID: araki.huzihiro Published as: Araki, Huzihiro; Araki, H. External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
 Documents Indexed: 123 Publications since 1954, including 2 Books 14 Contributions as Editor · 2 Further Contributions Reviewing Activity: 71 Reviews Biographic References: 4 Publications Co-Authors: 57 Co-Authors with 54 Joint Publications 999 Co-Co-Authors
all top 5

### Co-Authors

 85 single-authored 4 Woods, Edward James 3 Kishimoto, Akitaka 3 Matsui, Taku 3 Moriya, Hajime 2 Barouch, Eytan 2 Choda, Marie 2 Evans, David E. 2 Ezawa, Hiroshi 2 Kadison, Richard Vincent 2 Nakagami, Yoshiomi 2 Saitô, Kazuyuki 2 Tomiyama, Jun 2 Yamagami, Shigeru 2 Zsidó, Lászlo 1 Aizenman, Michael 1 Amemiya, Ichiro 1 Araki, Gentaro 1 Arsene, Grigore 1 Burgoyne, N. 1 Carey, Alan L. 1 Choda, Hisashi 1 Effros, Edward George 1 Elliott, George A. 1 Englert, Berthold-Georg 1 Flato, Moshé 1 Gotō, Tetsuo 1 Haag, Rudolf 1 Hakeda, Jôsuke 1 Hamana, Masamichi 1 Hansen, Frank-Peter 1 Hepp, Klaus 1 Ho, T. G. 1 Hofmann, Gerald 1 Ikunishi, Akio 1 Ito, Keiichi R. 1 Jurzak, Jean-Paul 1 Kajiwara, Tsuyoshi 1 Kawaguchi, Masaaki 1 Kawahigashi, Yasuyuki 1 Kosaki, Hideki 1 Kusuda, Masaharu 1 Kwek, Leong Chuan 1 Masuda, Tetsuya 1 Michéa, Sébastien 1 Miyata, Hideo 1 Moore, Calvin C. 1 Munakata, Yasuo 1 Nakazato, Hiroshi 1 Natsume, Toshikazu 1 Ojima, Izumi 1 Ozawa, Masanao 1 Raggio, Guido A. 1 Ruelle, David Pierre 1 Schroer, Bert 1 Shiraishi, Masafumi 1 Sinha, Kalyan B. 1 Smith, Larry 1 Smith, Mi-Soo Bae 1 Sternheimer, Daniel 1 Strătilă, Şerban Valentin 1 Sunder, Viakalathur S. 1 Suzuki, Jun-Ichirou 1 Tabuchi, Takaaki 1 Takai, Hiroshi 1 Takemoto, Hideo 1 Voiculescu, Dan-Virgil 1 Wyss, Walter 1 Yanase, Mutsuo M.
all top 5

### Serials

 20 Communications in Mathematical Physics 20 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 Letters in Mathematical Physics 8 Publications of the Research Institute for Mathematical Sciences, Series A 6 Progress of Theoretical Physics 5 Reviews in Mathematical Physics 4 Helvetica Physica Acta 4 Journal of Mathematical Physics 2 International Journal of Modern Physics B 2 Reports on Mathematical Physics 2 Pacific Journal of Mathematics 2 Annals of Physics 2 Il Nuovo Cimento, X. Series 2 Lecture Notes in Mathematics 2 International Series of Monographs on Physics 1 Journal of Statistical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Mathematica Japonica 1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik 1 Proceedings of the American Mathematical Society 1 Journal of Operator Theory 1 Acta Applicandae Mathematicae 1 Sūgaku 1 RIMS Kokyuroku 1 Physica Scripta 1 Physical Review, II. Series 1 Advanced Series in Mathematical Physics 1 Lecture Notes in Physics 1 Mathematical Physics Studies 1 Proceedings of the Steklov Institute of Mathematics 1 Progress in Mathematics 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
all top 5

### Fields

 88 Functional analysis (46-XX) 34 Statistical mechanics, structure of matter (82-XX) 31 Quantum theory (81-XX) 16 Operator theory (47-XX) 13 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 4 History and biography (01-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Measure and integration (28-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

100 Publications have been cited 1,973 times in 1,386 Documents Cited by Year
Relative entropy of states of von Neumann algebras. Zbl 0326.46031
Araki, Huzihiro
1976
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061
Araki, Huzihiro
1971
On an inequality of Lieb and Thirring. Zbl 0705.47020
Araki, Huzihiro
1990
A classification of factors. Zbl 0206.12901
Araki, H.; Woods, E. J.
1968
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
1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054
Araki, Huzihiro
1973
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805
Araki, H.
1963
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055
Araki, Huzihiro
1977
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401
Araki, H.
1964
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001
Araki, H.
1969
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906
Araki, H.
1960
A remark on Piron’s paper. Zbl 0177.16103
Amemiya, I.; Araki, H.
1966
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501
Araki, Huzihiro
1999
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
1970
On the algebra of all local observables. Zbl 0125.21904
Araki, H.
1964
Representations of canonical anticommutation relations. Zbl 0137.23903
Araki, H.; Wyss, W.
1964
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003
Araki, Huzihiro; Moriya, Hajime
2003
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066
Araki, Huzihiro; Shiraishi, Masafumi
1971
Positive cones and $$L^p$$-spaces for von Neumann algebras. Zbl 0505.46046
Araki, Huzihiro; Masuda, Tetsuya
1982
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054
Araki, Huzihiro
1975
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013
Araki, Huzihiro; Yamagami, Shigeru
1981
Ground states of the XY-model. Zbl 0581.46058
Araki, Huzihiro; Matsui, Taku
1985
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601
Araki, H.; Woods, E. J.
1966
Measurement of quantum mechanical operators. Zbl 0095.42502
Araki, Huzihiro; Yanase, Mutsuo M.
1960
Expansional in Banach algebras. Zbl 0257.46054
Araki, Huzihiro
1973
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032
Araki, Huzihiro; Zsidó, László
2005
On the XY-model on two-sided infinite chain. Zbl 0544.46040
Araki, Huzihiro
1984
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048
Araki, Huzihiro
1973
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067
Araki, Huzihiro
1971
On a characterization of the state space of quantum mechanics. Zbl 0443.46046
Araki, Huzihiro
1980
Type of von Neumann algebra associated with free field. Zbl 0132.43901
Araki, H.
1964
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101
Araki, H.
1968
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017
Araki, Huzihiro
1985
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048
Araki, Huzihiro
1974
On a $$C^*$$-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046
Araki, Huzihiro; Evans, David E.
1983
Asymptotic time evolution of a partitioned infinite two-sided isotropic $$XY$$-chain. Zbl 1034.82008
Ho, T. G.; Araki, Huzihiro
2000
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701
Araki, Huzihiro
1968
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004
Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry
1971
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058
Araki, Huzihiro
1987
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052
Araki, Huzihiro; Yamagami, Shigeru
1982
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075
Araki, Huzihiro
1972
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201
Araki, H.
1960
A remark on transition probability. Zbl 0515.46063
Araki, Huzihiro; Raggio, Guido A.
1982
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029
Araki, Huzihiro; Jurzak, Jean Paul
1982
Properties of the momentum space analytic function. Zbl 0098.43105
Araki, H.; Burgoyne, N.
1960
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503
Araki, Huzihiro
1980
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038
Araki, Huzihiro; Moriya, Hajime
2003
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019
Araki, Huzihiro; Barouch, Eytan
1983
Asymptotic ratio set and property $$L_ \lambda^ \prime$$. Zbl 0231.46100
Araki, Huzihiro
1971
On weak time-symmetric gravitational waves. Zbl 0087.23002
Araki, Huzihiro
1959
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048
Araki, Huzihiro
1973
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
2000
On KMS boundary condition. Zbl 0195.28702
Araki, Huzihiro; Miyata, Hideo
1968
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093
Araki, Huzihiro
1972
On the definition of $$C^*$$-algebras. Zbl 0272.46033
Araki, Huzihiro; Elliott, George A.
1973
On the connection of spin and commutation relations between different fields. Zbl 0119.43901
Araki, Huzihiro
1961
On $${\mathcal O}_{n+1}$$. Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
1984
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001
Araki, Huzihiro
2009
Symmetry and equilibrium states. Zbl 0341.46043
Araki, Huzihiro; Kishimoto, Akitaka
1977
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057
Araki, Huzihiro
1987
Quantum field theory of unstable particles. Zbl 0077.43202
Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo
1957
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
1962
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006
Araki, Huzihiro
2004
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.
1976
A classification of factors. II. Zbl 0198.17803
Araki, H.
1969
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040
Araki, Huzihiro
1992
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002
Araki, Huzihiro; Moriya, Hajime
2002
A generalization of Borchers theorem. Zbl 0112.43203
Araki, H.
1963
On representations of the canonical commutation relations. Zbl 0203.57101
Araki, H.
1971
On a pathology in indefinite metric inner product space. Zbl 0505.47028
Araki, Huzihiro
1982
Analyticity of ground states of the XY-model. Zbl 0591.58018
Araki, Huzihiro; Matsui, Taku
1986
The determination of a local or almost local field from a given current. Zbl 0149.46405
Araki, Huzihiro; Haag, Rudolf; Schroer, Bert
1961
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602
Araki, H.; Woods, E. J.
1966
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044
Araki, Huzihiro
1989
Master symmetries of the XY model. Zbl 0718.46049
Araki, Huzihiro
1990
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050
Araki, Huzihiro
1973
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
1985
Standard potentials for non-even dynamics. Zbl 1113.82037
Araki, Huzihiro
2006
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097
Araki, Huzihiro; Nakagami, Yoshiomi
1972
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051
Araki, H.; Woods, E. J.
1973
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009
1975
On clustering property. Zbl 0342.46048
Araki, Huzihiro; Kishimoto, Akitaka
1976
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095
Araki, Huzihiro
1986
Positive cones for von Neumann algebras. Zbl 0498.46046
Araki, Huzihiro
1982
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303
Araki, Huzihiro
1957
A remark on Bures distance function for normal states. Zbl 0225.46065
Araki, Huzihiro
1971
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065
Araki, Huzihiro
1974
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064
Araki, Huzihiro
1976
Super-derivations and associated standard super-potentials. Zbl 1134.82002
Araki, H.
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
1998
On KMS states of a $$C^*$$ dynamical system. Zbl 0389.46054
Araki, Huzihiro
1978
Some topics in quantum statistical mechanics. Zbl 0434.46049
Araki, Huzihiro
1980
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101
Araki, H.
1961
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057
Araki, Huzihiro
1993
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039
Araki, Huzihiro
1989
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
1990
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053
Araki, H.
1982
Some contact points of mathematics and physics. Zbl 0515.46062
Araki, Huzihiro
1983
Dynamics and potentials. Zbl 1134.82001
Araki, Huzihiro
2007
One dimensional quantum lattice system. Zbl 0239.46068
Araki, Huzihiro
1971
Mathematical theory of quantum fields. Reprint of the 1999 hardback ed. Zbl 1170.81001
Araki, Huzihiro
2009
Super-derivations and associated standard super-potentials. Zbl 1134.82002
Araki, H.
2007
Dynamics and potentials. Zbl 1134.82001
Araki, Huzihiro
2007
Standard potentials for non-even dynamics. Zbl 1113.82037
Araki, Huzihiro
2006
Extension of the structure theorem of Borchers and its application to half-sided modular inclusions. Zbl 1088.46032
Araki, Huzihiro; Zsidó, László
2005
Conditional expectations relative to a product state and the corresponding standard potentials. Zbl 1092.82006
Araki, Huzihiro
2004
Equilibrium statistical mechanics of fermion lattice systems. Zbl 1105.82003
Araki, Huzihiro; Moriya, Hajime
2003
Joint extension of states of subsystems for a CAR system. Zbl 1041.46038
Araki, Huzihiro; Moriya, Hajime
2003
Local thermodynamical stability of Fermion lattice systems. Zbl 1024.82002
Araki, Huzihiro; Moriya, Hajime
2002
Asymptotic time evolution of a partitioned infinite two-sided isotropic $$XY$$-chain. Zbl 1034.82008
Ho, T. G.; Araki, Huzihiro
2000
Jensen’s operator inequality for functions of several variables. Zbl 0956.47009
Araki, Huzihiro; Hansen, Frank
2000
Mathematical theory of quantum fields. Transl. from the Japanese by Ursula Carow-Watamura. Zbl 0998.81501
Araki, Huzihiro
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
1998
Operator algebra approach to soluble models of quantum spin lattice systems. Zbl 0841.46057
Araki, Huzihiro
1993
Symmetries in theory of local observables and the choice of the net of local algebras. Zbl 0774.46040
Araki, Huzihiro
1992
On an inequality of Lieb and Thirring. Zbl 0705.47020
Araki, Huzihiro
1990
Master symmetries of the XY model. Zbl 0718.46049
Araki, Huzihiro
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
1990
An application of Dye’s theorem on projection lattices to orthogonally decomposable isomorphisms. Zbl 0696.46044
Araki, Huzihiro
1989
Selfadjointness and positivity of a certain partial differential operator associated with the Kerr metric in general relativity. Zbl 0705.47039
Araki, Huzihiro
1989
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0614.46058
Araki, Huzihiro
1987
Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Zbl 0618.46057
Araki, Huzihiro
1987
Analyticity of ground states of the XY-model. Zbl 0591.58018
Araki, Huzihiro; Matsui, Taku
1986
Analyticity of correlation functions for the two-dimensional Ising model. Zbl 0613.60095
Araki, Huzihiro
1986
Ground states of the XY-model. Zbl 0581.46058
Araki, Huzihiro; Matsui, Taku
1985
Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet. Zbl 0582.22017
Araki, Huzihiro
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
1985
On the XY-model on two-sided infinite chain. Zbl 0544.46040
Araki, Huzihiro
1984
On $${\mathcal O}_{n+1}$$. Zbl 0562.46033
Araki, H.; Carey, A. L.; Evans, D. E.
1984
On a $$C^*$$-algebra approach to phase transition in the two-dimensional Ising model. Zbl 0535.46046
Araki, Huzihiro; Evans, David E.
1983
On the dynamics and ergodic properties of the XY model. Zbl 0591.58019
Araki, Huzihiro; Barouch, Eytan
1983
Some contact points of mathematics and physics. Zbl 0515.46062
Araki, Huzihiro
1983
Positive cones and $$L^p$$-spaces for von Neumann algebras. Zbl 0505.46046
Araki, Huzihiro; Masuda, Tetsuya
1982
On quasi-equivalence of quasifree states of the canonical commutation relations. Zbl 0505.46052
Araki, Huzihiro; Yamagami, Shigeru
1982
A remark on transition probability. Zbl 0515.46063
Araki, Huzihiro; Raggio, Guido A.
1982
On a certain class of *-algebras of unbounded operators. Zbl 0511.47029
Araki, Huzihiro; Jurzak, Jean Paul
1982
On a pathology in indefinite metric inner product space. Zbl 0505.47028
Araki, Huzihiro
1982
Positive cones for von Neumann algebras. Zbl 0498.46046
Araki, Huzihiro
1982
Theory of von Neumann algebras and quantum statistical mechanics. Zbl 0505.46053
Araki, H.
1982
An inequality for Hilbert-Schmidt norm. Zbl 0468.47013
Araki, Huzihiro; Yamagami, Shigeru
1981
On a characterization of the state space of quantum mechanics. Zbl 0443.46046
Araki, Huzihiro
1980
A remark on Machida-Namiki theory of measurement. Zbl 1097.81503
Araki, Huzihiro
1980
Some topics in quantum statistical mechanics. Zbl 0434.46049
Araki, Huzihiro
1980
On KMS states of a $$C^*$$ dynamical system. Zbl 0389.46054
Araki, Huzihiro
1978
Relative entropy for states of von Neumann algebras. II. Zbl 0374.46055
Araki, Huzihiro
1977
Symmetry and equilibrium states. Zbl 0341.46043
Araki, Huzihiro; Kishimoto, Akitaka
1977
Relative entropy of states of von Neumann algebras. Zbl 0326.46031
Araki, Huzihiro
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.
1976
On clustering property. Zbl 0342.46048
Araki, Huzihiro; Kishimoto, Akitaka
1976
Recent developments in the theory of operator algebras and their significance in theoretical physics. Zbl 0369.46064
Araki, Huzihiro
1976
On uniqueness of KmMS states of one-dimensional quantum lattice systems. Zbl 0309.46054
Araki, Huzihiro
1975
International symposium on mathematical problems in theoretical physics, January 23-29, 1975, Kyoto University, Kyoto/Japan. Zbl 0309.00009
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
1974
On the equivalence of the KMS condition and the variational principle for quantum lattice systems. Zbl 0289.46048
Araki, Huzihiro
1974
One-parameter family of Radon-Nikodym theorems for states of a von Neumann algebra. Zbl 0296.46065
Araki, Huzihiro
1974
Relative Hamiltonian for faithful normal states of a von Neumann algebra. Zbl 0273.46054
Araki, Huzihiro
1973
Expansional in Banach algebras. Zbl 0257.46054
Araki, Huzihiro
1973
Golden-Thompson and Peierls-Bogolubov inequalities for a general von Neumann algebra. Zbl 0274.46048
Araki, Huzihiro
1973
Structure of some von Neumann algebras with isolated discrete modular spectrum. Zbl 0269.46048
Araki, Huzihiro
1973
On the definition of $$C^*$$-algebras. Zbl 0272.46033
Araki, Huzihiro; Elliott, George A.
1973
Normal positive linear mappings of norm 1 from a von Neumann algebra into its commutant and its application. Zbl 0255.46050
Araki, Huzihiro
1973
Topologies induced by representations of the canonical commutation relations. Zbl 0258.46051
Araki, H.; Woods, E. J.
1973
Bures distance function and a generalization o f Sakai’s non-commutative Radon-Nikodym theorem. Zbl 0252.46075
Araki, Huzihiro
1972
Remarks on spectra of modular operators of von Neumann algebras. Zbl 0245.46093
Araki, Huzihiro
1972
A remark on an infinite tensor product of von Neumann algebras. Zbl 0257.46097
Araki, Huzihiro; Nakagami, Yoshiomi
1972
On quasifree states of CAR and Bogoliubov automorphisms. Zbl 0227.46061
Araki, Huzihiro
1971
On quasifree states of the canonical commutation relations. I. Zbl 0239.46066
Araki, Huzihiro; Shiraishi, Masafumi
1971
On quasifree states of the canonical commutation relations. II. Zbl 0239.46067
Araki, Huzihiro
1971
On the homotopical significance of the type of von Neumann algebra factors. Zbl 0211.44004
Araki, Huzihiro; Smith, Mi-Soo Bae; Smith, Larry
1971
Asymptotic ratio set and property $$L_ \lambda^ \prime$$. Zbl 0231.46100
Araki, Huzihiro
1971
On representations of the canonical commutation relations. Zbl 0203.57101
Araki, H.
1971
A remark on Bures distance function for normal states. Zbl 0225.46065
Araki, Huzihiro
1971
One dimensional quantum lattice system. Zbl 0239.46068
Araki, Huzihiro
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
1970
Gibbs states of a one dimensional quantum lattice. Zbl 0199.28001
Araki, H.
1969
A classification of factors. II. Zbl 0198.17803
Araki, H.
1969
A classification of factors. Zbl 0206.12901
Araki, H.; Woods, E. J.
1968
On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation. Zbl 0202.42101
Araki, H.
1968
Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. Zbl 0195.28701
Araki, Huzihiro
1968
On KMS boundary condition. Zbl 0195.28702
Araki, Huzihiro; Miyata, Hideo
1968
A remark on Piron’s paper. Zbl 0177.16103
Amemiya, I.; Araki, H.
1966
Complete Boolean algebras of type I fa-tors. Zbl 0169.17601
Araki, H.; Woods, E. J.
1966
Addenda: Complete Boolean algebras of type I factors. Zbl 0169.17602
Araki, H.; Woods, E. J.
1966
Von Neumann algebras of local observables for free scalar field. Zbl 0151.44401
Araki, H.
1964
On the algebra of all local observables. Zbl 0125.21904
Araki, H.
1964
Representations of canonical anticommutation relations. Zbl 0137.23903
Araki, H.; Wyss, W.
1964
Type of von Neumann algebra associated with free field. Zbl 0132.43901
Araki, H.
1964
A lattice of von Neumann algebras associated with the quantum theory of a free Bose field. Zbl 0132.43805
Araki, H.
1963
A generalization of Borchers theorem. Zbl 0112.43203
Araki, H.
1963
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
1962
On the connection of spin and commutation relations between different fields. Zbl 0119.43901
Araki, Huzihiro
1961
The determination of a local or almost local field from a given current. Zbl 0149.46405
Araki, Huzihiro; Haag, Rudolf; Schroer, Bert
1961
Wightman functions, retarded functions and their analytic continuations. Zbl 0108.42101
Araki, H.
1961
Hamiltonian formalism and the canonical commutation relations in quantum field theory. Zbl 0099.22906
Araki, H.
1960
Measurement of quantum mechanical operators. Zbl 0095.42502
Araki, Huzihiro; Yanase, Mutsuo M.
1960
On asymptotic behavior of vacuum expectation values at large space-like separation. Zbl 0098.43201
Araki, H.
1960
Properties of the momentum space analytic function. Zbl 0098.43105
Araki, H.; Burgoyne, N.
1960
On weak time-symmetric gravitational waves. Zbl 0087.23002
Araki, Huzihiro
1959
Quantum field theory of unstable particles. Zbl 0077.43202
Araki, Huzihiro; Munakata, Yasuo; Kawaguchi, Masaaki; Goto, Tetsuo
1957
Quantum-electrodynamical corrections to energy-levels of helium. Zbl 0077.44303
Araki, Huzihiro
1957
all top 5

### Cited by 1,152 Authors

 33 Araki, Huzihiro 31 Hiai, Fumio 30 Longo, Roberto 26 Petz, Dénes 18 Buchholz, Detlev 15 Carey, Alan L. 15 Matsui, Taku 15 Summers, Stephen Jeffrey 14 Pillet, Claude-Alain 14 Werner, Reinhard F. 13 Bru, Jean-Bernard 13 Connes, Alain 12 Albeverio, Sergio A. 12 Merkli, Marco 12 Ohya, Masanori 11 Evans, David E. 11 Fredenhagen, Klaus 11 Jakšić, Vojkan 11 Jørgensen, Palle E. T. 11 Kosaki, Hideki 10 Doplicher, Sergio 10 Fröhlich, Jürg Martin 10 Hollands, Stefan 10 Narnhofer, Heide 10 Neeb, Karl-Hermann 10 Ogata, Yoshiko 10 Park, Yong Moon 10 Streater, Raymond F. 10 Tanimoto, Yoh 10 Vershik, Anatoliĭ Moiseevich 9 Bratteli, Ola 9 Dvurečenskij, Anatolij 9 Dybalski, Wojciech 9 Kishimoto, Akitaka 9 Kittaneh, Fuad 9 Klauder, John Rider 9 Robinson, Derek W. 9 Yamagami, Shigeru 8 Accardi, Luigi 8 Borchers, Hans-Jürgen 8 Fidaleo, Francesco 8 Graev, Mark Iosifovich 8 Lechner, Gandalf 8 Mukhamedov, Farruh Maksutovich 8 Pinamonti, Nicola 8 Størmer, Erling 8 Takesaki, Masamichi 8 Tomamichel, Marco 8 Watanabe, Noboru 8 Wichmann, Eyvind H. 7 Bruneau, Laurent 7 Chetcuti, Emmanuel 7 Faulkner, Thomas 7 Golodets, Valentin Yakovlevich 7 Haagerup, Uffe Valentin 7 Hansen, Frank-Peter 7 Høegh-Krohn, Raphael J. 7 Lieb, Elliott Hershel 7 Nakagami, Yoshiomi 7 Olkiewicz, Robert 7 Verch, Rainer 6 Aschbacher, Walter H. 6 Bach, Volker 6 Barnum, Howard 6 Berta, Mario 6 Buhagiar, David 6 Carlen, Eric Anders 6 D’Antoni, Claudio 6 Dappiaggi, Claudio 6 Doyon, Benjamin 6 Drago, Nicolò 6 Gérard, Christian 6 Joye, Alain 6 Junge, Marius 6 Moretti, Valter 6 Morinelli, Vincenzo 6 Moriya, Hajime 6 Mosonyi, Milán 6 Ruzzi, Giuseppe 6 Schroer, Bert 6 Streit, Ludwig 5 Belavkin, Viacheslav 5 Bhatia, Rajendra 5 De Siqueira Pedra, Walter 5 Driessler, Wulf 5 Fewster, Christopher John 5 Guido, Daniele 5 Hegerfeldt, Gerhard C. 5 Jäkel, Christian D. 5 Kawamura, Katsunori 5 Naaijkens, Pieter 5 Ozawa, Masanao 5 Pedersen, Gert Kjærgård 5 Raggio, Guido A. 5 Roberts, John Elias 5 Ruskai, Mary Beth 5 Seo, Yuki 5 Souissi, Abdessatar 5 Thirring, Walter E. 5 Turilova, Ekaterina A. ...and 1,052 more Authors
all top 5

### Cited in 182 Serials

 266 Communications in Mathematical Physics 145 Journal of Mathematical Physics 78 Journal of Functional Analysis 64 Letters in Mathematical Physics 57 Reviews in Mathematical Physics 53 Publications of the Research Institute for Mathematical Sciences, Kyoto University 36 Journal of Statistical Physics 36 Annales Henri Poincaré 34 Linear Algebra and its Applications 30 International Journal of Theoretical Physics 30 Journal of High Energy Physics 22 Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 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 Functional Analysis and its Applications 13 Journal of Mathematical Analysis and Applications 12 Journal of Geometry and Physics 11 Reports on Mathematical Physics 11 Theoretical and Mathematical Physics 10 Advances in Mathematics 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 9 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 8 Journal of Soviet Mathematics 8 Mathematische Annalen 8 International Journal of Mathematics 7 Il Nuovo Cimento, X. Series 6 Linear and Multilinear Algebra 6 Nuclear Physics. B 6 Annales de l’Institut Fourier 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 Noncommutative Geometry 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 Physics A: Mathematical and Theoretical 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 3 Mathematical Notes 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 Sugaku Expositions 3 Algebras and Representation Theory 3 Acta Mathematica Sinica. English Series 3 Lobachevskii Journal of Mathematics 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 Classical and Quantum Gravity 2 Indian Journal of Pure & Applied Mathematics 2 Studia Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Annals of Physics 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 Physical Review Letters 2 Journal of Statistical Mechanics: Theory and Experiment 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Operators and Matrices 2 Kyoto Journal of Mathematics ...and 82 more Serials
all top 5

### Cited in 54 Fields

 684 Functional analysis (46-XX) 660 Quantum theory (81-XX) 238 Operator theory (47-XX) 238 Statistical mechanics, structure of matter (82-XX) 102 Probability theory and stochastic processes (60-XX) 81 Topological groups, Lie groups (22-XX) 77 Information and communication theory, circuits (94-XX) 71 Linear and multilinear algebra; matrix theory (15-XX) 57 Relativity and gravitational theory (83-XX) 37 Differential geometry (53-XX) 34 Partial differential equations (35-XX) 34 Global analysis, analysis on manifolds (58-XX) 30 Dynamical systems and ergodic theory (37-XX) 29 Nonassociative rings and algebras (17-XX) 26 Mathematical logic and foundations (03-XX) 23 Measure and integration (28-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 19 Associative rings and algebras (16-XX) 19 Abstract harmonic analysis (43-XX) 16 Statistics (62-XX) 12 Group theory and generalizations (20-XX) 7 Number theory (11-XX) 7 Category theory; homological algebra (18-XX) 7 Real functions (26-XX) 7 Functions of a complex variable (30-XX) 7 Mechanics of particles and systems (70-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General topology (54-XX) 6 Numerical analysis (65-XX) 5 Combinatorics (05-XX) 5 Algebraic geometry (14-XX) 5 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Optics, electromagnetic theory (78-XX) 3 $$K$$-theory (19-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Ordinary differential equations (34-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 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.