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Hatori, Osamu

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 Author ID: hatori.osamu Published as: Hatori, Osamu
 Documents Indexed: 78 Publications since 1981
all top 5

Co-Authors

 33 single-authored 17 Miura, Takeshi 9 Takahasi, Sin-Ei 8 Takagi, Hiroyuki 7 Oi, Shiho 5 Molnár, Lajos 4 Oka, Hirokazu 3 Abe, Toshikazu 2 Hirasawa, Go 2 Iida, Yasuo 2 Kobayashi, Kiyotaka 2 Watanabe, Keiichi 1 Akiyama, Shigeki 1 Briem, Eggert 1 Hino, Kazumi 1 Ishii, Takashi 1 Izuchi, Keiji 1 Jiménez-Vargas, Antonio 1 Kasuga, Kazuhiro 1 Kawamura, Kazuhiro 1 Lambert, Scott 1 Luttman, Aaron 1 Sato, Enji 1 Shindo, Rumi 1 Sidney, Stuart J. 1 Stević, Stevo 1 Takahashi, Yasuji 1 Tanabe, Kyohei 1 Tanahashi, Kôtarô 1 Tonev, Toma V. 1 Ueki, Sei-ichiro 1 Villegas-Vallecillos, Moisés 1 Wada, Junzo 1 Yates, Rebekah B. Johnson
all top 5

Serials

 8 Journal of Mathematical Analysis and Applications 8 Proceedings of the American Mathematical Society 7 Tokyo Journal of Mathematics 5 Studia Mathematica 4 Nihonkai Mathematical Journal 3 Central European Journal of Mathematics 2 Mathematica Japonica 2 Tohoku Mathematical Journal. Second Series 2 RIMS Kokyuroku 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematical Journal of Okayama University 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publicationes Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Abstract and Applied Analysis 1 Journal of Group Theory 1 Scientiae Mathematicae 1 Journal of Nonlinear and Convex Analysis 1 Mediterranean Journal of Mathematics 1 International Mathematical Forum 1 Banach Journal of Mathematical Analysis 1 Journal of Function Spaces 1 Linear and Nonlinear Analysis
all top 5

Fields

 66 Functional analysis (46-XX) 24 Operator theory (47-XX) 5 Abstract harmonic analysis (43-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

Citations contained in zbMATH Open

55 Publications have been cited 414 times in 222 Documents Cited by Year
Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties. Zbl 1102.46032
Hatori, Osamu; Miura, Takeshi; Takagi, Hiroyuki
2006
Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative. Zbl 1113.46047
Hatori, Osamu; Miura, Takeshi; Takagi, Hiroyuki
2007
Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in $$C^\ast$$-algebras. Zbl 1306.46053
Hatori, Osamu; Molnár, Lajos
2014
Spectral preservers in commutative Banach algebras. Zbl 1239.46036
Hatori, Osamu; Lambert, Scott; Luttman, Aaron; Miura, Takeshi; Tonev, Thomas; Yates, Rebekah
2011
On the best constant of Hyers-Ulam stability. Zbl 1079.39025
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2004
Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein- type theorem. Zbl 0722.46025
Takahasi, Sin-Ei; Hatori, Osamu
1990
Isometries and maps compatible with inverted Jordan triple products on groups. Zbl 1271.46010
Hatori, Osamu; Hirasawa, Go; Miura, Takeshi; Molnár, Lajos
2012
Isometries of the unitary group. Zbl 1244.47032
Hatori, Osamu; Molnár, Lajos
2012
Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras. Zbl 1211.46052
Hatori, Osamu; Hirasawa, Go; Miura, Takeshi
2010
Fredholm composition operators on spaces of holomorphic functions. Zbl 0815.47039
Hatori, Osamu
1994
Ring derivations on semi-simple commutative Banach algebras. Zbl 0801.46060
1992
Generalizations of spectrally multiplicative surjections between uniform algebras. Zbl 1209.46027
Hatori, Osamu; Miura, Takeshi; Shindo, Rumi; Takagi, Hiroyuki
2010
Generalized gyrovector spaces and a Mazur-Ulam theorem. Zbl 1374.46026
Abe, Toshikazu; Hatori, Osamu
2015
Isometries of the special orthogonal group. Zbl 1297.47038
Abe, Toshikazu; Akiyama, Shigeki; Hatori, Osamu
2013
Peripherally monomial-preserving maps between uniform algebras. Zbl 1192.46049
Hatori, Osamu; Hino, Kazumi; Miura, Takeshi; Oka, Hirokazu
2009
2-local isometries and 2-local automorphisms on uniform algebras. Zbl 1148.46307
Hatori, Osamu; Miura, Takeshi; Oka, Hirokazu; Takagi, Hiroyuki
2007
Commutative Banach algebras and BSE-inequalities. Zbl 0795.46040
Takahasi, Sin-Ei; Hatori, Osamu
1992
Isometries on Banach algebras of vector-valued maps. Zbl 1413.46039
Hatori, Osamu; Oi, Shiho
2018
Peripheral multiplicativity of maps on uniformly closed algebras of continuous functions which vanish at infinity. Zbl 1201.46046
Hatori, Osamu; Miura, Takeshi; Oka, Hirokazu; Takagi, Hiroyuki
2009
Separation properties and operating functions on a space of continuous functions. Zbl 0801.46018
Hatori, Osamu
1993
Algebraic properties of isometries between groups of invertible elements in Banach algebras. Zbl 1216.46007
Hatori, Osamu
2011
On a characterization of the maximal ideal spaces of commutative $$C^*$$-algebras in which every element is the square of another. Zbl 0946.46042
Hatori, Osamu; Miura, Takeshi
2000
Functions which operate on the real part of a function algebra. Zbl 0493.46045
Hatori, Osamu
1981
$$2$$-local isometries on function spaces. Zbl 1441.46008
Hatori, Osamu; Oi, Shiho
2019
Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions. Zbl 1325.46011
Hatori, Osamu; Jiménez-Vargas, A.; Villegas-Vallecillos, Moisés
2014
Real linear isometries between function algebras. II. Zbl 1294.46042
Hatori, Osamu; Miura, Takeshi
2013
Multiplicative isometries on the Smirnov class. Zbl 1264.30042
Hatori, Osamu; Iida, Yasuo
2011
Isometries between groups of invertible elements in Banach algebras. Zbl 1190.46014
Hatori, Osamu
2009
Range transformations on a Banach function algebra. II. Zbl 0673.46031
Hatori, Osamu
1989
Hermitian operators on Banach algebras of vector-valued Lipschitz maps. Zbl 06766707
Hatori, Osamu; Oi, Shiho
2017
Isometries on the special unitary group. Zbl 1346.15027
Hatori, Osamu
2015
Symbolic calculus on a Banach algebra of continuous functions. Zbl 0813.46039
Hatori, Osamu
1993
Examples and applications of generalized gyrovector spaces. Zbl 1376.46056
Hatori, Osamu
2017
Spectral conditions for Jordan *-isomorphisms on operator algebras. Zbl 1373.47039
Hatori, Osamu; Molnár, Lajos
2017
On a characterization of commutativity for $$C^*$$-algebras via gyrogroup operations. Zbl 1389.46043
Abe, Toshikazu; Hatori, Osamu
2016
Multiplicative isometries on $$F$$-algebras of holomorphic functions. Zbl 1236.32002
Hatori, Osamu; Iida, Yasuo; Stević, Stevo; Ueki, Sei-Ichiro
2012
An example of multiplicatively spectrum-preserving maps between non-isomorphic semi-simple commutative Banach algebras. Zbl 1143.46027
Hatori, Osamu; Miura, Takeshi; Oka, Hirokazu
2007
Commutative Banach algebras and BSE-norm. Zbl 0897.46044
Takahasi, Sin-Ei; Takahashi, Yasuji; Hatori, Osamu; Tanahashi, Kôtarô
1997
Peculiar homomorphisms between algebras of vector-valued maps. Zbl 1406.46030
Hatori, Osamu; Oi, Shiho; Takagi, Hiroyuki
2018
Generalized isometries of the special unitary group. Zbl 1342.15018
Hatori, Osamu; Molnár, Lajos
2016
Maps on the sphere of the algebras of matrices. Zbl 1361.15029
Hatori, Osamu
2015
Isometries of the unitary groups in $$C^{*}$$-algebras. Zbl 1306.47048
Hatori, Osamu
2014
Isometries between groups of invertible elements in $$C^\ast$$-algebras. Zbl 1260.46036
Hatori, Osamu; Watanabe, Keiichi
2012
Reflections and a generalization of the Mazur-Ulam theorem. Zbl 1250.46008
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takahasi, Sin-Ei
2012
Decompositions of measures on compact Abelian groups. Zbl 1014.43001
Hatori, Osamu; Sato, Enji
2001
A structure of ring homomorphisms on commutative Banach algebras. Zbl 0918.46050
Takahasi, Sin-Ei; Hatori, Osamu
1999
Measures with natural spectra on locally compact abelian groups. Zbl 0895.43001
Hatori, Osamu
1998
Range transformations on a Banach function algebra. Zbl 0652.46043
Hatori, Osamu
1986
Functional calculus for certain Banach function algebras. Zbl 0627.46060
Hatori, Osamu
1986
Peculiar homomorphisms on algebras of vector-valued continuously differentiable maps. Zbl 1381.46041
Hatori, Osamu; Oi, Shiho; Takagi, Hiroyuki
2017
Commuting pairs of self-adjoint elements in $$C^*$$-algebras. Zbl 1399.46077
Hatori, Osamu
2017
Linear isometries of finite codimensions on Banach algebras of holomorphic functions. Zbl 1193.46006
Hatori, Osamu; Kasuga, Kazuhiro
2009
A characterization of lacunary sets and spectral properties of Fourier multipliers. Zbl 0858.43005
Hatori, Osamu
1995
Does a non-Lipschitz function operate on a non-trivial Banach function algebra? Zbl 0804.46061
Hatori, Osamu
1994
Functions which operate by composition on the real part of a Banach function algebra. Zbl 0533.46032
Hatori, Osamu
1983
$$2$$-local isometries on function spaces. Zbl 1441.46008
Hatori, Osamu; Oi, Shiho
2019
Isometries on Banach algebras of vector-valued maps. Zbl 1413.46039
Hatori, Osamu; Oi, Shiho
2018
Peculiar homomorphisms between algebras of vector-valued maps. Zbl 1406.46030
Hatori, Osamu; Oi, Shiho; Takagi, Hiroyuki
2018
Hermitian operators on Banach algebras of vector-valued Lipschitz maps. Zbl 06766707
Hatori, Osamu; Oi, Shiho
2017
Examples and applications of generalized gyrovector spaces. Zbl 1376.46056
Hatori, Osamu
2017
Spectral conditions for Jordan *-isomorphisms on operator algebras. Zbl 1373.47039
Hatori, Osamu; Molnár, Lajos
2017
Peculiar homomorphisms on algebras of vector-valued continuously differentiable maps. Zbl 1381.46041
Hatori, Osamu; Oi, Shiho; Takagi, Hiroyuki
2017
Commuting pairs of self-adjoint elements in $$C^*$$-algebras. Zbl 1399.46077
Hatori, Osamu
2017
On a characterization of commutativity for $$C^*$$-algebras via gyrogroup operations. Zbl 1389.46043
Abe, Toshikazu; Hatori, Osamu
2016
Generalized isometries of the special unitary group. Zbl 1342.15018
Hatori, Osamu; Molnár, Lajos
2016
Generalized gyrovector spaces and a Mazur-Ulam theorem. Zbl 1374.46026
Abe, Toshikazu; Hatori, Osamu
2015
Isometries on the special unitary group. Zbl 1346.15027
Hatori, Osamu
2015
Maps on the sphere of the algebras of matrices. Zbl 1361.15029
Hatori, Osamu
2015
Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in $$C^\ast$$-algebras. Zbl 1306.46053
Hatori, Osamu; Molnár, Lajos
2014
Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions. Zbl 1325.46011
Hatori, Osamu; Jiménez-Vargas, A.; Villegas-Vallecillos, Moisés
2014
Isometries of the unitary groups in $$C^{*}$$-algebras. Zbl 1306.47048
Hatori, Osamu
2014
Isometries of the special orthogonal group. Zbl 1297.47038
Abe, Toshikazu; Akiyama, Shigeki; Hatori, Osamu
2013
Real linear isometries between function algebras. II. Zbl 1294.46042
Hatori, Osamu; Miura, Takeshi
2013
Isometries and maps compatible with inverted Jordan triple products on groups. Zbl 1271.46010
Hatori, Osamu; Hirasawa, Go; Miura, Takeshi; Molnár, Lajos
2012
Isometries of the unitary group. Zbl 1244.47032
Hatori, Osamu; Molnár, Lajos
2012
Multiplicative isometries on $$F$$-algebras of holomorphic functions. Zbl 1236.32002
Hatori, Osamu; Iida, Yasuo; Stević, Stevo; Ueki, Sei-Ichiro
2012
Isometries between groups of invertible elements in $$C^\ast$$-algebras. Zbl 1260.46036
Hatori, Osamu; Watanabe, Keiichi
2012
Reflections and a generalization of the Mazur-Ulam theorem. Zbl 1250.46008
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takahasi, Sin-Ei
2012
Spectral preservers in commutative Banach algebras. Zbl 1239.46036
Hatori, Osamu; Lambert, Scott; Luttman, Aaron; Miura, Takeshi; Tonev, Thomas; Yates, Rebekah
2011
Algebraic properties of isometries between groups of invertible elements in Banach algebras. Zbl 1216.46007
Hatori, Osamu
2011
Multiplicative isometries on the Smirnov class. Zbl 1264.30042
Hatori, Osamu; Iida, Yasuo
2011
Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras. Zbl 1211.46052
Hatori, Osamu; Hirasawa, Go; Miura, Takeshi
2010
Generalizations of spectrally multiplicative surjections between uniform algebras. Zbl 1209.46027
Hatori, Osamu; Miura, Takeshi; Shindo, Rumi; Takagi, Hiroyuki
2010
Peripherally monomial-preserving maps between uniform algebras. Zbl 1192.46049
Hatori, Osamu; Hino, Kazumi; Miura, Takeshi; Oka, Hirokazu
2009
Peripheral multiplicativity of maps on uniformly closed algebras of continuous functions which vanish at infinity. Zbl 1201.46046
Hatori, Osamu; Miura, Takeshi; Oka, Hirokazu; Takagi, Hiroyuki
2009
Isometries between groups of invertible elements in Banach algebras. Zbl 1190.46014
Hatori, Osamu
2009
Linear isometries of finite codimensions on Banach algebras of holomorphic functions. Zbl 1193.46006
Hatori, Osamu; Kasuga, Kazuhiro
2009
Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative. Zbl 1113.46047
Hatori, Osamu; Miura, Takeshi; Takagi, Hiroyuki
2007
2-local isometries and 2-local automorphisms on uniform algebras. Zbl 1148.46307
Hatori, Osamu; Miura, Takeshi; Oka, Hirokazu; Takagi, Hiroyuki
2007
An example of multiplicatively spectrum-preserving maps between non-isomorphic semi-simple commutative Banach algebras. Zbl 1143.46027
Hatori, Osamu; Miura, Takeshi; Oka, Hirokazu
2007
Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties. Zbl 1102.46032
Hatori, Osamu; Miura, Takeshi; Takagi, Hiroyuki
2006
On the best constant of Hyers-Ulam stability. Zbl 1079.39025
Hatori, Osamu; Kobayashi, Kiyotaka; Miura, Takeshi; Takagi, Hiroyuki; Takahasi, Sin-Ei
2004
Decompositions of measures on compact Abelian groups. Zbl 1014.43001
Hatori, Osamu; Sato, Enji
2001
On a characterization of the maximal ideal spaces of commutative $$C^*$$-algebras in which every element is the square of another. Zbl 0946.46042
Hatori, Osamu; Miura, Takeshi
2000
A structure of ring homomorphisms on commutative Banach algebras. Zbl 0918.46050
Takahasi, Sin-Ei; Hatori, Osamu
1999
Measures with natural spectra on locally compact abelian groups. Zbl 0895.43001
Hatori, Osamu
1998
Commutative Banach algebras and BSE-norm. Zbl 0897.46044
Takahasi, Sin-Ei; Takahashi, Yasuji; Hatori, Osamu; Tanahashi, Kôtarô
1997
A characterization of lacunary sets and spectral properties of Fourier multipliers. Zbl 0858.43005
Hatori, Osamu
1995
Fredholm composition operators on spaces of holomorphic functions. Zbl 0815.47039
Hatori, Osamu
1994
Does a non-Lipschitz function operate on a non-trivial Banach function algebra? Zbl 0804.46061
Hatori, Osamu
1994
Separation properties and operating functions on a space of continuous functions. Zbl 0801.46018
Hatori, Osamu
1993
Symbolic calculus on a Banach algebra of continuous functions. Zbl 0813.46039
Hatori, Osamu
1993
Ring derivations on semi-simple commutative Banach algebras. Zbl 0801.46060
1992
Commutative Banach algebras and BSE-inequalities. Zbl 0795.46040
Takahasi, Sin-Ei; Hatori, Osamu
1992
Commutative Banach algebras which satisfy a Bochner-Schoenberg-Eberlein- type theorem. Zbl 0722.46025
Takahasi, Sin-Ei; Hatori, Osamu
1990
Range transformations on a Banach function algebra. II. Zbl 0673.46031
Hatori, Osamu
1989
Range transformations on a Banach function algebra. Zbl 0652.46043
Hatori, Osamu
1986
Functional calculus for certain Banach function algebras. Zbl 0627.46060
Hatori, Osamu
1986
Functions which operate by composition on the real part of a Banach function algebra. Zbl 0533.46032
Hatori, Osamu
1983
Functions which operate on the real part of a function algebra. Zbl 0493.46045
Hatori, Osamu
1981
all top 5

Cited by 176 Authors

 156 Functional analysis (46-XX) 105 Operator theory (47-XX) 20 Difference and functional equations (39-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 13 Abstract harmonic analysis (43-XX) 9 Topological groups, Lie groups (22-XX) 6 Group theory and generalizations (20-XX) 6 Functions of a complex variable (30-XX) 6 Ordinary differential equations (34-XX) 6 General topology (54-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Approximations and expansions (41-XX) 4 Geometry (51-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 $$K$$-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)