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## Inoue, Atsushi

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 Author ID: inoue.atsushi Published as: Inoue, Atsushi; Inoue, A.; Inoue, Atushi
 Documents Indexed: 118 Publications since 1971, including 3 Books Reviewing Activity: 65 Reviews
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#### Co-Authors

 45 single-authored 26 Trapani, Camillo 15 Antoine, Jean-Pierre 15 Bagarello, Fabio 13 Fragoulopoulou, Maria 12 Bhatt, Subhash J. 9 Ogi, Hidekazu 7 Kürsten, Klaus-Detlef 5 Takakura, Mayumi 4 Ôta, Schôichi 3 Ikeda, Itsuko 3 Karwowski, Witold 2 Kuriyama, Ken 2 Takesue, Kunimichi 2 Weigt, Martin 1 Ebihara, Yukiyoshi 1 Karia, Dinesh J. 1 Kurose, Hideki 1 Takeshita, Naoto 1 Tomiyama, Jun 1 Ueda, Hideyuki 1 Yamauchi, Toshiyuki 1 Yasui, R.
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#### Serials

 13 Journal of Mathematical Analysis and Applications 9 Journal of Mathematical Physics 8 Journal of the Mathematical Society of Japan 8 Proceedings of the American Mathematical Society 6 Mathematische Nachrichten 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Journal of Operator Theory 5 Memoirs of the Faculty of Science. Series A. Mathematics 4 Pacific Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 International Journal of Mathematics and Mathematical Sciences 3 Transactions of the American Mathematical Society 3 Bulletin of the Institute for Advanced Research of Fukuoka University. Natural Sciences 3 Fukuoka University Science Reports 2 Reports on Mathematical Physics 2 Journal of Functional Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of Central Research Institute. Fukuoka University. Natural Sciences 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Lecture Notes in Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Reviews in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Japanese Journal of Mathematics. New Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Kyushu Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis
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#### Fields

 92 Functional analysis (46-XX) 82 Operator theory (47-XX) 8 Quantum theory (81-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

89 Publications have been cited 563 times in 244 Documents Cited by Year
Partial $$^*$$-algebras and their operator realizations. Zbl 1023.46004
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
2002
Locally $$C^ *$$-algebra. Zbl 0227.46060
Inoue, Atsushi
1971
Partial $${}^*$$-algebras of closable operators. I: The basic theory and the abelian case. Zbl 0724.47020
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
1990
A class of unbounded operator algebras. Zbl 0331.46063
Inoue, Atsushi
1976
Partial $$\star$$-algebras of closable operators. II: States and representations of partial $$\star$$-algebras. Zbl 0749.47030
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
1991
Non-self-adjoint Hamiltonians defined by Riesz bases. Zbl 1286.81084
Bagarello, F.; Inoue, A.; Trapani, C.
2014
Tomita-Takesaki theory in algebras of unbounded operators. Zbl 0930.47042
Inoue, Atsushi
1998
Partial $$^*$$-algebras of closable operators: a review. Zbl 0857.47029
Antoine, J.-P.; Inoue, A.; Trapani, C.
1996
On a class of unbounded operator algebras. II. Zbl 0355.46034
Inoue, Atsushi
1976
An unbounded generalization of the Tomita-Takesaki theory. Zbl 0624.47044
Inoue, Atsushi
1986
Some classes of topological quasi $$*$$-algebras. Zbl 0979.46039
Bagarello, F.; Inoue, A.; Trapani, C.
2001
Derivations of quasi $$^*$$-algebras. Zbl 1065.47036
Bagarello, F.; Inoue, A.; Trapani, C.
2004
An unbounded generalization of the Tomita-Takesaki theory. II. Zbl 0641.47050
Inoue, Atsushi
1987
The completion of a $$C^*$$-algebra with a locally convex topology. Zbl 1115.46044
Bagarello, Fabio; Fragoulopoulou, Maria; Inoue, Atsushi; Trapani, Camillo
2006
Representability of invariant positive sesquilinear forms on partial *- algebras. Zbl 0726.46038
Antoine, J.-P.; Inoue, A.
1990
A Radon-Nikodym theorem for positive linear functionals on *-algebras. Zbl 0517.47028
Inoue, Atsushi
1983
Structure of locally convex quasi $$C^*$$-algebras. Zbl 1145.47059
Bagarello, Fabio; Fragoulopoulou, Maria; Inoue, Atsushi; Trapani, Camillo
2008
Standard generalized vectors in the space of Hilbert-Schmidt operators. Zbl 0831.47035
Antoine, J.-P.; Ogi, H.; Inoue, A.; Trapani, C.
1995
Biweights on partial *-algebras. Zbl 0949.47056
Antoine, J.-P.; Inoue, A.; Trapani, C.
2000
Spectral invariance, K-theory isomorphism and an application to the differential structure of $$C^*$$-algebras. Zbl 1027.46061
Bhatt, S. J.; Inoue, A.; Ogi, H.
2003
Unbounded $$C^*$$-seminorms and unbounded $$C^*$$-spectral algebras. Zbl 0994.47074
Bhatt, Subhash J.; Inoue, Atsushi; Ogi, Hidekazu
2001
Strongly cyclic vectors for partial $$Op^*$$-algebras. Zbl 0722.47038
Antoine, J.-P.; Inoue, Atsushi
1990
Unbounded representations of symmetric $$^*$$-algebras. Zbl 0345.46044
Inoue, A.
1977
Unbounded $$C^*$$-seminorms and $$*$$-representations of partial $$*$$-algebras. Zbl 1004.47049
Bagarello, F.; Inoue, A.; Trapani, C.
2001
Regular weights on algebras of unbounded operators. Zbl 0904.47037
Inoue, Atsushi; Ogi, Hidekazu
1998
Unbounded generalizations of standard von Neumann algebras. Zbl 0417.46066
Inoue, Atsushi
1978
Commutants and bicommutants of algebras of unbounded operators. Zbl 0624.47045
Inoue, Atsushi; Ueda, Hideyuki; Yamauchi, Toshiyuki
1987
Extension of unbounded left Hilbert algebras to partial *-algebras. Zbl 0769.47015
Inoue, A.
1991
Modular structure of algebras of unbounded operators. Zbl 0771.47025
Inoue, Atsushi
1992
Tensor products of generalized $$B^\ast$$-algebras. Zbl 1312.46051
Fragoulopoulou, M.; Inoue, A.; Weigt, M.
2014
Locally convex quasi $$C^{*}$$-normed algebras. Zbl 1201.46049
Bagarello, F.; Fragoulopoulou, M.; Inoue, A.; Trapani, C.
2010
A class of unbounded operator algebras. II. Zbl 0342.46057
Inoue, Atsushi
1976
On the completion of a $$C^*$$-normed algebra under a locally convex algebra topology. Zbl 1123.46039
Fragoulopoulou, M.; Inoue, A.; Kürsten, K.-D.
2007
Modular systems induced by trace functionals on algebras of unbounded operators. Zbl 0811.47043
Inoue, Atsushi
1994
Cyclic generalized vectors for algebras of unbounded operators. Zbl 0836.47036
Inoue, Atsushi; Karwowski, Witold
1994
$$L^p$$-spaces and maximal unbounded Hilbert algebras. Zbl 0389.46041
Inoue, Atsushi
1978
Well-behaved unbounded operator representations and unbounded $$C^*$$-seminorms. Zbl 1083.47065
Bhatt, Subhash J.; Inoue, Atsushi; Kürsten, Klaus-Detlef
2004
Normal forms on partial $$O^*$$-algebras. Zbl 0770.47025
Antoine, J.-P.; Inoue, A.
1991
Weak commutation relations of unbounded operators and applications. Zbl 1273.47062
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2011
Weak commutation relations of unbounded operators: nonlinear extensions. Zbl 1278.81114
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2012
Selfadjoint representations of polynomial algebras. Zbl 0529.47038
Inoue, Atsushi; Takesue, Kunimichi
1983
Old and new results on Allan’s $$GB^*$$-algebras. Zbl 1213.46041
Fragoulopoulou, Maria; Inoue, Atsushi; Kürsten, Klaus-Detlef
2010
O$$^*$$-dynamical systems and $$^*$$-derivations of unbounded operator algebras. Zbl 0946.46055
Antoine, J.-P.; Inoue, A.; Trapani, C.
1999
Derivations of operator algebras into spaces of unbounded operators. Zbl 0493.47022
Inoue, Atsushi; Ota, Schoichi; Tomiyama, Jun
1981
On the regularity of the partial $$O^*$$-algebras generated by a closed symmetric operator. Zbl 0812.47047
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
1992
A commutant of an unbounded operator algebra. Zbl 0377.46057
Inoue, Atsushi
1978
Exponentiating derivations of quasi $$^{\ast}$$-algebras: possible approaches and applications. Zbl 1101.46034
Bagarello, F.; Inoue, A.; Trapani, C.
2005
Selfadjointness of *-representations generated by positive linear functionals. Zbl 0574.47030
Inoue, A.
1985
Unbounded representations of symmetric $$^*$$-algebras. Zbl 0356.46054
Inoue, Atsushi
1977
Unbounded conditional expectations for $$O^*$$-algebras. Zbl 1134.47055
Inoue, Atsushi; Takakura, M.; Ogi, H.
2007
Standard generalized vectors for algebras of unbounded operators. Zbl 0884.47023
Inoue, Atsushi
1995
Standard weights on algebras of unbounded operators. Zbl 0953.47048
Inoue, Atsushi; Karwowski, Witold; Ogi, Hidekazu
1999
Standard generalized vectors for partial $$O^*$$-algebras. Zbl 0899.47033
Antoine, J.-P.; Inoue, A.; Ogi, H.
1997
On $$C^*$$-spectral algebras. Zbl 0932.46044
Bhatt, S. J.; Inoue, A.; Ogi, H.
1998
Unbounded generalizations of left-Hilbert algebras. Zbl 0428.46040
Inoue, Atsushi
1979
Spatial theory of $$^*$$-automorphisms of partial $$O^*$$-algebras. Zbl 0805.47038
Antoine, J.-P.; Inoue, A.; Trapani, C.
1994
A class of unbounded operator algebras. IV. Zbl 0381.46031
Inoue, Atsushi
1978
Topologies on unbounded operator algebras. Zbl 0419.47019
Inoue, Atsushi; Kuriyama, Ken; Ôta, Schôichi
1979
Representations and derivations of quasi $$*$$-algebras induced by local modifications of states. Zbl 1170.46048
Bagarello, F.; Inoue, A.; Trapani, C.
2009
On $$C^*$$-like locally convex $$*$$-algebras. Zbl 1026.46036
Inoue, Atsushi; Kürsten, Klaus-Detlef
2002
Differential structures in $$C^\ast$$-algebras. Zbl 1265.46105
Bhatt, Subhash J.; Inoue, Atsushi; Ogi, Hidekazu
2011
Bicommutants of reduced unbounded operator algebras. Zbl 1189.47075
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2009
Partial $$O^*$$-algebras generated by two closed symmetric operators. Zbl 0809.47038
Inoue, Atsushi
1991
Spatiality of $$^*$$-derivations of partial $$\text{O}^*$$-algebras. Zbl 0884.47020
Antoine, J.-P.; Inoue, A.; Trapani, C.
1995
Standard generalized vectors and $${}^*$$-automorphism groups of partial $$O^*$$-algebras. Zbl 0954.47055
Antoine, J.-P.; Inoue, A.; Ogi, H.
2000
Tomita-Takesaki theory in algebras of unbounded operators. Zbl 0949.47057
Inoue, Atsushi
1993
Admissibility of weights on non-normed $$*$$-algebras. Zbl 0930.47041
Bhatt, S. J.; Inoue, A.; Ogi, H.
1999
Unbounded generalizations of left Hilbert algebras. II. Zbl 0435.46043
Inoue, Atsushi
1980
Derivations on algebras of unbounded operators. Zbl 0451.46037
Inoue, Atsushi; Ôta, Schôichi
1980
Well-behaved *-representations of *-algebras. Zbl 1076.46045
Inoue, Atsushi
2004
Existence of spectral well-behaved $$\ast$$-representations. Zbl 1103.46029
Bhatt, S. J.; Fragoulopoulou, M.; Inoue, A.
2006
Existence of well-behaved $$\ast$$-representations of locally convex $$\ast$$-algebras. Zbl 1107.46039
Bhatt, S. J.; Fragoulopoulou, M.; Inoue, A.
2006
Conditional expectations for unbounded operator algebras. Zbl 1165.47057
Inoue, Atsushi; Ogi, Hidekazu; Takakura, Mayumi
2007
Extensions of unbounded representations. Zbl 0779.47037
Inoue, Atsushi; Kurose, Hideki; Ôta, Schôichi
1992
Tensor products of unbounded operator algebras. Zbl 1321.46076
Fragoulopoulou, M.; Inoue, A.; Weigt, M.
2014
Spatial theory for algebras of unbounded operators. II. Zbl 0506.47028
Inoue, A.; Takesue, K.
1983
$$O^*$$-algebras in standard system. Zbl 0833.47041
Inoue, Atsushi
1995
A survey of Tomita-Takesaki theory in algebras of unbounded operators. I: General theory. Zbl 0957.47052
Inoue, Atsushi
1999
Trace representation of weights on algebras of unbounded operators. Zbl 0969.47051
Inoue, Atsushi; Kürsten, Klaus-Detlef
2000
Standard systems for semifinite O$$^*$$-algebras. Zbl 0887.47036
Inoue, Atsushi
1997
Weakly unbounded operator algebras. Zbl 0391.46043
Inoue, Atsushi; Kuriyama, Ken
1977
Positive linear functionals on topological *-algebras. Zbl 0407.46048
Inoue, Atsushi
1979
Invariant subspaces for closed *-representations of *-algebras. Zbl 0771.47024
Ikeda, Itsuko; Inoue, Atsushi
1992
Standard partial $$O^*$$-algebras. Zbl 0790.47030
Inoue, Atsushi
1991
Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded $$C^*$$-seminorms. Zbl 1138.46044
Fragoulopoulou, M.; Inoue, A.
2007
Spectral well-behaved $$*$$-representations. Zbl 1090.46042
Bhatt, S. J.; Fragoulopoulou, M.; Inoue, A.
2005
On structure of locally convex *-algebras with normal unbounded $$C^*$$-norms. Zbl 1089.46031
Inoue, Atsushi; Takeshita, Naoto
2005
On regularity of positive linear functionals. Zbl 0541.47036
Inoue, Atushi
1983
Representable linear functionals on partial $$*$$-algebras. Zbl 1243.46045
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2012
Non-self-adjoint Hamiltonians defined by Riesz bases. Zbl 1286.81084
Bagarello, F.; Inoue, A.; Trapani, C.
2014
Tensor products of generalized $$B^\ast$$-algebras. Zbl 1312.46051
Fragoulopoulou, M.; Inoue, A.; Weigt, M.
2014
Tensor products of unbounded operator algebras. Zbl 1321.46076
Fragoulopoulou, M.; Inoue, A.; Weigt, M.
2014
Weak commutation relations of unbounded operators: nonlinear extensions. Zbl 1278.81114
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2012
Representable linear functionals on partial $$*$$-algebras. Zbl 1243.46045
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2012
Weak commutation relations of unbounded operators and applications. Zbl 1273.47062
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2011
Differential structures in $$C^\ast$$-algebras. Zbl 1265.46105
Bhatt, Subhash J.; Inoue, Atsushi; Ogi, Hidekazu
2011
Locally convex quasi $$C^{*}$$-normed algebras. Zbl 1201.46049
Bagarello, F.; Fragoulopoulou, M.; Inoue, A.; Trapani, C.
2010
Old and new results on Allan’s $$GB^*$$-algebras. Zbl 1213.46041
Fragoulopoulou, Maria; Inoue, Atsushi; Kürsten, Klaus-Detlef
2010
Representations and derivations of quasi $$*$$-algebras induced by local modifications of states. Zbl 1170.46048
Bagarello, F.; Inoue, A.; Trapani, C.
2009
Bicommutants of reduced unbounded operator algebras. Zbl 1189.47075
Bagarello, Fabio; Inoue, Atsushi; Trapani, Camillo
2009
Structure of locally convex quasi $$C^*$$-algebras. Zbl 1145.47059
Bagarello, Fabio; Fragoulopoulou, Maria; Inoue, Atsushi; Trapani, Camillo
2008
On the completion of a $$C^*$$-normed algebra under a locally convex algebra topology. Zbl 1123.46039
Fragoulopoulou, M.; Inoue, A.; Kürsten, K.-D.
2007
Unbounded conditional expectations for $$O^*$$-algebras. Zbl 1134.47055
Inoue, Atsushi; Takakura, M.; Ogi, H.
2007
Conditional expectations for unbounded operator algebras. Zbl 1165.47057
Inoue, Atsushi; Ogi, Hidekazu; Takakura, Mayumi
2007
Unbounded *-representations of tensor product locally convex *-algebras induced by unbounded $$C^*$$-seminorms. Zbl 1138.46044
Fragoulopoulou, M.; Inoue, A.
2007
The completion of a $$C^*$$-algebra with a locally convex topology. Zbl 1115.46044
Bagarello, Fabio; Fragoulopoulou, Maria; Inoue, Atsushi; Trapani, Camillo
2006
Existence of spectral well-behaved $$\ast$$-representations. Zbl 1103.46029
Bhatt, S. J.; Fragoulopoulou, M.; Inoue, A.
2006
Existence of well-behaved $$\ast$$-representations of locally convex $$\ast$$-algebras. Zbl 1107.46039
Bhatt, S. J.; Fragoulopoulou, M.; Inoue, A.
2006
Exponentiating derivations of quasi $$^{\ast}$$-algebras: possible approaches and applications. Zbl 1101.46034
Bagarello, F.; Inoue, A.; Trapani, C.
2005
Spectral well-behaved $$*$$-representations. Zbl 1090.46042
Bhatt, S. J.; Fragoulopoulou, M.; Inoue, A.
2005
On structure of locally convex *-algebras with normal unbounded $$C^*$$-norms. Zbl 1089.46031
Inoue, Atsushi; Takeshita, Naoto
2005
Derivations of quasi $$^*$$-algebras. Zbl 1065.47036
Bagarello, F.; Inoue, A.; Trapani, C.
2004
Well-behaved unbounded operator representations and unbounded $$C^*$$-seminorms. Zbl 1083.47065
Bhatt, Subhash J.; Inoue, Atsushi; Kürsten, Klaus-Detlef
2004
Well-behaved *-representations of *-algebras. Zbl 1076.46045
Inoue, Atsushi
2004
Spectral invariance, K-theory isomorphism and an application to the differential structure of $$C^*$$-algebras. Zbl 1027.46061
Bhatt, S. J.; Inoue, A.; Ogi, H.
2003
Partial $$^*$$-algebras and their operator realizations. Zbl 1023.46004
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
2002
On $$C^*$$-like locally convex $$*$$-algebras. Zbl 1026.46036
Inoue, Atsushi; Kürsten, Klaus-Detlef
2002
Some classes of topological quasi $$*$$-algebras. Zbl 0979.46039
Bagarello, F.; Inoue, A.; Trapani, C.
2001
Unbounded $$C^*$$-seminorms and unbounded $$C^*$$-spectral algebras. Zbl 0994.47074
Bhatt, Subhash J.; Inoue, Atsushi; Ogi, Hidekazu
2001
Unbounded $$C^*$$-seminorms and $$*$$-representations of partial $$*$$-algebras. Zbl 1004.47049
Bagarello, F.; Inoue, A.; Trapani, C.
2001
Biweights on partial *-algebras. Zbl 0949.47056
Antoine, J.-P.; Inoue, A.; Trapani, C.
2000
Standard generalized vectors and $${}^*$$-automorphism groups of partial $$O^*$$-algebras. Zbl 0954.47055
Antoine, J.-P.; Inoue, A.; Ogi, H.
2000
Trace representation of weights on algebras of unbounded operators. Zbl 0969.47051
Inoue, Atsushi; Kürsten, Klaus-Detlef
2000
O$$^*$$-dynamical systems and $$^*$$-derivations of unbounded operator algebras. Zbl 0946.46055
Antoine, J.-P.; Inoue, A.; Trapani, C.
1999
Standard weights on algebras of unbounded operators. Zbl 0953.47048
Inoue, Atsushi; Karwowski, Witold; Ogi, Hidekazu
1999
Admissibility of weights on non-normed $$*$$-algebras. Zbl 0930.47041
Bhatt, S. J.; Inoue, A.; Ogi, H.
1999
A survey of Tomita-Takesaki theory in algebras of unbounded operators. I: General theory. Zbl 0957.47052
Inoue, Atsushi
1999
Tomita-Takesaki theory in algebras of unbounded operators. Zbl 0930.47042
Inoue, Atsushi
1998
Regular weights on algebras of unbounded operators. Zbl 0904.47037
Inoue, Atsushi; Ogi, Hidekazu
1998
On $$C^*$$-spectral algebras. Zbl 0932.46044
Bhatt, S. J.; Inoue, A.; Ogi, H.
1998
Standard generalized vectors for partial $$O^*$$-algebras. Zbl 0899.47033
Antoine, J.-P.; Inoue, A.; Ogi, H.
1997
Standard systems for semifinite O$$^*$$-algebras. Zbl 0887.47036
Inoue, Atsushi
1997
Partial $$^*$$-algebras of closable operators: a review. Zbl 0857.47029
Antoine, J.-P.; Inoue, A.; Trapani, C.
1996
Standard generalized vectors in the space of Hilbert-Schmidt operators. Zbl 0831.47035
Antoine, J.-P.; Ogi, H.; Inoue, A.; Trapani, C.
1995
Standard generalized vectors for algebras of unbounded operators. Zbl 0884.47023
Inoue, Atsushi
1995
Spatiality of $$^*$$-derivations of partial $$\text{O}^*$$-algebras. Zbl 0884.47020
Antoine, J.-P.; Inoue, A.; Trapani, C.
1995
$$O^*$$-algebras in standard system. Zbl 0833.47041
Inoue, Atsushi
1995
Modular systems induced by trace functionals on algebras of unbounded operators. Zbl 0811.47043
Inoue, Atsushi
1994
Cyclic generalized vectors for algebras of unbounded operators. Zbl 0836.47036
Inoue, Atsushi; Karwowski, Witold
1994
Spatial theory of $$^*$$-automorphisms of partial $$O^*$$-algebras. Zbl 0805.47038
Antoine, J.-P.; Inoue, A.; Trapani, C.
1994
Tomita-Takesaki theory in algebras of unbounded operators. Zbl 0949.47057
Inoue, Atsushi
1993
Modular structure of algebras of unbounded operators. Zbl 0771.47025
Inoue, Atsushi
1992
On the regularity of the partial $$O^*$$-algebras generated by a closed symmetric operator. Zbl 0812.47047
Antoine, Jean-Pierre; Inoue, Atsushi; Trapani, Camillo
1992
Extensions of unbounded representations. Zbl 0779.47037
Inoue, Atsushi; Kurose, Hideki; Ôta, Schôichi
1992
Invariant subspaces for closed *-representations of *-algebras. Zbl 0771.47024
Ikeda, Itsuko; Inoue, Atsushi
1992
Partial $$\star$$-algebras of closable operators. II: States and representations of partial $$\star$$-algebras. Zbl 0749.47030
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
1991
Extension of unbounded left Hilbert algebras to partial *-algebras. Zbl 0769.47015
Inoue, A.
1991
Normal forms on partial $$O^*$$-algebras. Zbl 0770.47025
Antoine, J.-P.; Inoue, A.
1991
Partial $$O^*$$-algebras generated by two closed symmetric operators. Zbl 0809.47038
Inoue, Atsushi
1991
Standard partial $$O^*$$-algebras. Zbl 0790.47030
Inoue, Atsushi
1991
Partial $${}^*$$-algebras of closable operators. I: The basic theory and the abelian case. Zbl 0724.47020
Antoine, Jean-P.; Inoue, Atsushi; Trapani, Camillo
1990
Representability of invariant positive sesquilinear forms on partial *- algebras. Zbl 0726.46038
Antoine, J.-P.; Inoue, A.
1990
Strongly cyclic vectors for partial $$Op^*$$-algebras. Zbl 0722.47038
Antoine, J.-P.; Inoue, Atsushi
1990
An unbounded generalization of the Tomita-Takesaki theory. II. Zbl 0641.47050
Inoue, Atsushi
1987
Commutants and bicommutants of algebras of unbounded operators. Zbl 0624.47045
Inoue, Atsushi; Ueda, Hideyuki; Yamauchi, Toshiyuki
1987
An unbounded generalization of the Tomita-Takesaki theory. Zbl 0624.47044
Inoue, Atsushi
1986
Selfadjointness of *-representations generated by positive linear functionals. Zbl 0574.47030
Inoue, A.
1985
A Radon-Nikodym theorem for positive linear functionals on *-algebras. Zbl 0517.47028
Inoue, Atsushi
1983
Selfadjoint representations of polynomial algebras. Zbl 0529.47038
Inoue, Atsushi; Takesue, Kunimichi
1983
Spatial theory for algebras of unbounded operators. II. Zbl 0506.47028
Inoue, A.; Takesue, K.
1983
On regularity of positive linear functionals. Zbl 0541.47036
Inoue, Atushi
1983
Derivations of operator algebras into spaces of unbounded operators. Zbl 0493.47022
Inoue, Atsushi; Ota, Schoichi; Tomiyama, Jun
1981
Unbounded generalizations of left Hilbert algebras. II. Zbl 0435.46043
Inoue, Atsushi
1980
Derivations on algebras of unbounded operators. Zbl 0451.46037
Inoue, Atsushi; Ôta, Schôichi
1980
Unbounded generalizations of left-Hilbert algebras. Zbl 0428.46040
Inoue, Atsushi
1979
Topologies on unbounded operator algebras. Zbl 0419.47019
Inoue, Atsushi; Kuriyama, Ken; Ôta, Schôichi
1979
Positive linear functionals on topological *-algebras. Zbl 0407.46048
Inoue, Atsushi
1979
Unbounded generalizations of standard von Neumann algebras. Zbl 0417.46066
Inoue, Atsushi
1978
$$L^p$$-spaces and maximal unbounded Hilbert algebras. Zbl 0389.46041
Inoue, Atsushi
1978
A commutant of an unbounded operator algebra. Zbl 0377.46057
Inoue, Atsushi
1978
A class of unbounded operator algebras. IV. Zbl 0381.46031
Inoue, Atsushi
1978
Unbounded representations of symmetric $$^*$$-algebras. Zbl 0345.46044
Inoue, A.
1977
Unbounded representations of symmetric $$^*$$-algebras. Zbl 0356.46054
Inoue, Atsushi
1977
Weakly unbounded operator algebras. Zbl 0391.46043
Inoue, Atsushi; Kuriyama, Ken
1977
A class of unbounded operator algebras. Zbl 0331.46063
Inoue, Atsushi
1976
On a class of unbounded operator algebras. II. Zbl 0355.46034
Inoue, Atsushi
1976
A class of unbounded operator algebras. II. Zbl 0342.46057
Inoue, Atsushi
1976
Locally $$C^ *$$-algebra. Zbl 0227.46060
Inoue, Atsushi
1971
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#### Cited by 145 Authors

 58 Trapani, Camillo 55 Inoue, Atsushi 32 Bagarello, Fabio 28 Antoine, Jean-Pierre 19 Fragoulopoulou, Maria 11 Bhatt, Subhash J. 10 Triolo, Salvatore 9 Bellomonte, Giorgia 7 Ekhaguere, G. O. S. 6 Ayupov, Shavkat Abdullaevich 6 Joiţa, Maria 6 Kürsten, Klaus-Detlef 6 Takakura, Mayumi 6 Weigt, Martin 5 Albeverio, Sergio A. 5 Mathot, Françoise D. 5 Ogi, Hidekazu 5 Tschinke, Francesco 4 Corso, Rosario 4 Kudaybergenov, Karimbergen K. 4 Park, Choonkil 4 Zarakas, Ioannis 3 Abdullaev, Rustam Z. 3 Adamo, Maria Stella 3 Di Bella, Salvatore 3 Dosi, Anar Adygezal 3 Epifanio, Giuseppina 3 Gheondea, Aurelian 3 Karia, Dinesh J. 3 Karwowski, Witold 2 Asadi, Mohammad B. 2 Chilin, Vladimir Ivanovich 2 Eskandani, Golamreza Zamani 2 Gargano, Francesco 2 Haralampidou, Marina 2 Hassanpour-Yakhdani, Zahra 2 Heo, Jaeseong 2 Huang, Danrun 2 Inoue, Hiroshi 2 Kyriazis, Athanasios 2 Ôta, Schôichi 2 Rassias, Themistocles Michael 2 Shamloo, Sara 2 Sharifi, Kamran 2 Shin, Dong-Yun 2 Takesue, Kunimichi 2 Tarcsay, Zsigmond 2 Wagner, Elmar 1 Akbarov, Sergei S. 1 Ali, Syed Twareque 1 Alizadeh, Leila 1 An, Jong Su 1 Arai, Asao 1 Arlins’kyĭ, Yuriĭ Moĭseĭovych 1 Arzikulov, Farhodjon Nematjonovich 1 Atoine, J.-P. 1 Ay, Serdar 1 Beniwal, Surbhi 1 Ber, Aleksey Feliksovich 1 Bhat, B. V. Rajarama 1 Bongiorno, Benedetto 1 Browning, Thomas L. 1 Capraro, Valerio 1 Castagnino, Mario Alberto 1 Choi, Michael C. H. 1 Ciaś, Tomasz 1 Dadakhodjayev, R. A. 1 Dobovišek, Mirko 1 Dubin, Daniel A. 1 Egamberdiev, O. I. 1 Feintzeig, Benjamin H. 1 Fidaleo, Francesco 1 Forger, Michael 1 Friedman, Oleg 1 Ganiev, Inomzhon Gulomzhonovich 1 Gates-Redburg, Robin 1 Gazeau, Jean-Pierre 1 Ghatak, Anindya 1 Gianfreda, Mariagiovanna 1 Gottschalk, Hanno 1 Gudder, Stanley P. 1 Hassani, Mahmoud 1 Hennings, Mark A. 1 Hirokawa, Masao 1 Iguri, Sergio Manuel 1 Jørgensen, Palle E. T. 1 Kalinichenko, A. V. 1 Karimi, Khadijeh 1 Katz, Alexander A. 1 Kondrat’yev, Yuriĭ Grygorovych 1 Kozitsky, Yuri Vasil’evich 1 Kumar, Ajay 1 Kunze, Wolfgang 1 Lassner, Gerd 1 Lassner, Gisela A. 1 Lee, Jung-Rye 1 Librande, Jonah 1 Lopushanski, Oleh V. 1 Lukács, Gábor 1 Luthra, Preeti ...and 45 more Authors
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#### Cited in 77 Serials

 33 Journal of Mathematical Physics 26 Journal of Mathematical Analysis and Applications 15 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Mediterranean Journal of Mathematics 9 Mathematische Nachrichten 8 Annales de l’Institut Henri Poincaré. Physique Théorique 6 International Journal of Theoretical Physics 6 Proceedings of the American Mathematical Society 5 Rocky Mountain Journal of Mathematics 5 International Journal of Mathematics and Mathematical Sciences 5 Journal of Functional Analysis 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Integral Equations and Operator Theory 4 Monatshefte für Mathematik 4 Transactions of the American Mathematical Society 4 Complex Analysis and Operator Theory 4 Advances in Operator Theory 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Reports on Mathematical Physics 3 Ukrainian Mathematical Journal 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Mathematical Sciences (New York) 2 Periodica Mathematica Hungarica 2 Studia Mathematica 2 Reviews in Mathematical Physics 2 Applied Categorical Structures 2 Positivity 2 Algebras and Representation Theory 2 Lobachevskii Journal of Mathematics 2 Banach Journal of Mathematical Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Czechoslovak Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 Sugaku Expositions 1 Acta Mathematica Sinica. New Series 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 The Journal of Analysis 1 Combinatorics, Probability and Computing 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Physics A: Mathematical and Theoretical 1 Operators and Matrices 1 Advances in Mathematical Physics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Arabian Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Function Spaces 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 30 Fields

 183 Functional analysis (46-XX) 137 Operator theory (47-XX) 38 Quantum theory (81-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Nonassociative rings and algebras (17-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Topological groups, Lie groups (22-XX) 5 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 3 Associative rings and algebras (16-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)