論文

1. Generalized gyrovector spaces revisited

Toshikazu Abe and Osamu Hatori, arXiv:2403.15015

2. Non-linear characterization of Jordan ∗-isomorphisms via maps on positive cones of C*-algebras 

Osamu Hatori and Shiho Oi, arXiv:2403.07341 

3. Isometries between groups of invertible elements in Fourier-Stieltjes algebras 

Osamu Hatori and Shiho Oi, arXiv:2312.11827  

4. The Mazur-Ulam property for a Banach space which satisfies a separation condition 

      Osamu Hatori

RIMS Kokyuroku Bessatsu B93 29-82 2023年7月 

5. The Mazur–Ulam property for uniform algebras
   Osamu Hatori
   Studia Mathematica 265(2) 227-239 2022年  筆頭著者最終著者責任著者

6. Tingley's problem on uniform algebras

Osamu Hatori, Shiho Oi and Rumi ShidoTogashi,
Journal of Mathematical Analysis and Applications 503(2) 2021年1月  査読有り筆頭著者最終著者責任著者

7. A Gyrogeometric Mean in the Einstein Gyrogroup
   Takuro Honma, Osamu Hatori
   Symmetry 12(8) 1333-1333 2020年8月10日  査読有り

8. Note on the proof of the existence of D(p) of a theorem of Jarosz
   Osamu Hatori, Kyohei Tanabe
   Nihonkai Mathematical Journal 30(1) 27-29 2019年6月  査読有り責任著者

9. Hermitian operators and isometries on injective tensor products of uniform algebras and C*-algebras
   Osamu Hatori, Kazuhiro Kawamura, Shiho Oi
   Journal of Mathematical Analysis and Applications 472(1) 827-841 2019年4月  査読有り

10. 2-local isometries on function spaces
    Osamu Hatori, Shiho Oi
    Contemp. Math., Recent Trends in Operator Theory and Applications 737 89-106 2019年  査読有り

11. Hermitian operators and isometries on Banach algebras of continuous maps with values in a unital commutative C*-algebra
    Osamu Hatori
    Journal of Function Spaces 2018 2018年  査読有り

12. Isometries on Banach algebras of vector-valued maps
    Osamu Hatori, Shiho Oi
    Acta Scientiarum Mathematicarum 84(1-2) 151-183 2018年  査読有り

13. Peculiar homomorphisms between algebras of vector-valued maps
    Osamu Hatori, Shiho Oi, Hiroyuki Takagi
    Studia Mathematica 242(2) 141-163 2018年  査読有り

14. Corrigendum to “Hermitian operators on Banach algebras of vector-valued Lipschitz maps” [J. Math. Anal. Appl. 452 (2017) 378–387] (S0022247X17302482) (10.1016/j.jmaa.2017.03.015)
    Osamu Hatori, Shiho Oi
    Journal of Mathematical Analysis and Applications 453(2) 1151-1152 2017年9月15日  査読有り

15. Hermitian operators on Banach algebras of vector-valued Lipschitz maps
    Osamu Hatori, Shiho Oi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 452(1) 378-387 2017年8月  査読有り

16. COMMUTING PAIRS OF SELF-ADJOINT ELEMENTS IN C*-ALGEBRAS
    Osamu Hatori
    MATHEMATICA SLOVACA 67(1) 209-212 2017年3月  査読有り

17. Examples and Applications of Generalized Gyrovector Spaces
    Osamu Hatori
    RESULTS IN MATHEMATICS 71(1-2) 295-317 2017年2月  査読有り

18. Peculiar homomorphisms on algebras of vector-valued continuously dif- ferentiable maps,
    Osamu Hatori, Shiho Oi, Hiroyuki Takagi
    Linear and Nonlinear Analysis 3 101-109 2017年  査読有り

19. Extension of isometries in generalized gyrovector spaces of the positive cones
    Osamu Hatori
    Contemporary Mathematics 687 145-156 2017年  査読有り

20. Spectral conditions for Jordan *-isomorphisms on operator algebras
    Osamu Hatori, Lajos Molnar
    STUDIA MATHEMATICA 236(2) 101-126 2017年  査読有り

21. On a characterization of commutativity for C∗-algebras via gyrogroup operations
    Toshikazu Abe, Osamu Hatori
    Periodica Mathematica Hungarica 72(2) 248-251 2016年6月  査読有り

22. Generalized isometries of the special unitary group
    Osamu Hatori, Lajos Molnar
    ARCHIV DER MATHEMATIK 106(2) 155-163 2016年2月  査読有り

23. Maps on the sphere of the algebras of matrices
    Osamu Hatori
    Nihonkai Mathematical Journal 26(2) 121-125 2015年12月  査読有り

24. Commuting pairs of normal operators
    Osamu Hatori
    Nihonkai Mathematical Journal 26(2) 85-90 2015年  査読有り

25. Generalized gyrovector spaces and a Mazur-Ulam theorem
    Toshikazu Abe, Osamu Hatori
    PUBLICATIONES MATHEMATICAE-DEBRECEN 87(3-4) 393-413 2015年  査読有り

26. Isometries on the special unitary group
    Osamu Hatori
    FUNCTION SPACES IN ANALYSIS 645 119-134 2015年  査読有り

27. Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions
    Osamu Hatori, A. Jimenez-Vargas, Moises Villegas-Vallecillos
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 415(2) 825-845 2014年7月  査読有り

28. Isometries of the unitary groups in C∗-algebras
    Osamu Hatori
    Studia Mathematica 221(1) 61-86 2014年  査読有り

29. Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C∗-algebras
    Osamu Hatori, Lajos Molnar
    Journal of Mathematical Analysis and Applications 409(1) 158-167 2014年1月  査読有り

30. Real linear isometries between function algebras. II
    Osamu Hatori, Takeshi Miura
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 11(10) 1838-1842 2013年10月  査読有り

31. Isometries of the special orthogonal group
    Toshikazu Abe, Shigeki Akiyama, Osamu Hatori
    LINEAR ALGEBRA AND ITS APPLICATIONS 439(1) 174-188 2013年7月  査読有り

32. Isometries and Maps Compatible with Inverted Jordan Triple Products on Groups
    Osamu Hatori, Go Hirasawa, Takeshi Miura, Lajos Molnar
    TOKYO JOURNAL OF MATHEMATICS 35(2) 385-410 2012年12月  査読有り

33. New criteria for equivalence of locally compact abelian groups
    Osamu Hatori
    JOURNAL OF GROUP THEORY 15(2) 271-277 2012年3月  査読有り

34. Isometries between groups of invertible elements in C∗ -algebras(共著)
    Osamu Hatori, Keiichi Watanabe
    Studia Mathematica 209(2) 103-106 2012年  査読有り

35. New criteria for equivalence of locally compact abelian groups
    Osamu Hatori
    Journal of Group Theory 15(2) 271-277 2012年1月  査読有り

36. Isometries of the unitary group(共著)
    Osamu Hatori, Lajos Molnar
    Proceedings of the American Mathematical Society 140(6) 2127-2140 2012年  査読有り

37. Reflections and a generalization of the Mazur-Ulam theorem(共著)
    Osamu Hatori, Kiyotaka Kobayashi, Takeshi Miura, Sin-Ei Takahasi
    The Rocky Mountain Journal of Mathematics 42(1) 117-150 2012年  査読有り

38. Multiplicative isometries on F -algebras of holomorphic functions(共著)
    Osamu Hatori, Yasuo Iida, Stevo Stevic, Sei-Ichiro Ueki
    Abstract and Applied Analysis 2012 2012年  査読有り

39. Multiplicative isometries on the Smirnov class(共著)
    Osamu Hatori, Yasuo Iida
    Central European Journal of Mathematics 9(5) 1051-1056 2011年10月  査読有り

40. Algebraic properties of isometries between groups of invertible elements in Banach algebras
    Osamu Hatori
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 376(1) 84-93 2011年4月  査読有り

41. Spectral preservers in commutative Banach algebras. Function spaces in modern analysis(共著)
    Osamu Hatori, Scott Lambert, Aaron Luttman, Takeshi Miura, Thomas Tonev, Rebekah Yates
    Contemporary Mathematics 547 103-+ 2011年  査読有り

42. Generalizations of spectrally multiplicative surjections between uniform algebras（共著）
    Osamu Hatori, Takeshi Miura, Rumi Shindo, Hiroyuki Takagi
    Rendi. Circ. Mat. Palermo (2) 59(2) 161-183 2010年8月  査読有り

43. Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras（共著）
    Osamu Hatori, Go Hirasawa, Takeshi Miura
    Cent. Eur. J. Math. 8(3) 597-601 2010年6月  

44. A Stone-Weierstrass theorem for Banach function spaces satisfying a certain separation property(共著)
    Eggert Briem, Osamu Hatori, Stuart J. Sidney
    J. Math. Anal. Appl 353(2) 607-613 2009年5月  査読有り

45. Peripherally monomial-preserving maps between uniform algebras(共著）
    Osamu Hatori, Kazumi Hino, Takeshi Miura, Hirokazu Oka
    Mediterr. J. Math. 6(1) 47-59 2009年3月  査読有り

46. LINEAR ISOMETRIES OF FINITE CODIMENSIONS ON BANACH ALGEBRAS OF HOLOMORPHIC FUNCTIONS
    Osamu Hatori, Kazuhiro Kasuga
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS 3(2) 109-124 2009年  査読有り

47. Isometries between groups of invertible elements in Banach algebras
    Osamu Hatori
    STUDIA MATHEMATICA 194(3) 293-304 2009年  査読有り

48. Peripheral multiplicativity of maps on uniformly closed algebras of continuous functions which vanish at infinity（共著）
    Osamu Hatori, Takeshi Miura, Hirokazu Oka, Hiroyuki Takagi
    Tokyo Journal of Mathematics 32(1) 91-104 2009年  査読有り

49. Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative（共著）
    Osamu Hatori, Takeshi Miura, Hiroyuki Takagi
    Journal of Mathematical Analysis and Applications 326(1) 281-296 2007年2月  査読有り

50. 2-local isometries and 2-local automorphisms on uniform algebras(共著）
    Osamu Hatori, Takeshi Miura, Hirokazu Oka, Hiroyuki Takagi
    Int. Math. Forum 2 49-52 2007年1月  査読有り

51. An example of multiplicatively spectrum-preserving maps between non-isomorphic semi-simple commutative Banach algebras（共著）
    Osamu, Hatori, Takeshi Miura, Hirokazu Oka
    Nihonkai Math. J. 18 11-15 2007年1月  

52. Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties（共著）
    Osamu Hatori, Takeshi Miura, Hiroyuki Takagi
    Proceedings of the American Mathematical Society 134(10) 2923-2930 2006年  査読有り

53. On the best constant of Hyers-Ulam stability
    Osamu Hatori, Kiyotaka Kobayashi, Takeshi Miura, Hiroyuki Takagi, Sin-Ei Takahasi
    Journal of Nonlinear and Convex Analysis. An International Journal 5(3) 387-393 2004年12月  査読有り

54. A note on commutative Gelfand theory for real Banach algebras(共著)
    Sin-Ei Takahasi, Takeshi Miura, Osamu Hatori
    Mathematical Journal of Okayama University 46 121-129 2004年12月  査読有り

55. Characterizations and automatic linearity for ring homomorphisms on algebras of functions（共著）
    Osamu Hatori, Takkashi Ishii, Takeshi Miura, Sin-Ei Takahasi
    Contemporary Mathematics 328 201-215 2003年12月  査読有り

56. A note on a class of Banach algebra-valued polynomials（共著）
    Sin-Ei Takahasi, Osamu Hatori, Keiichi Watanabe, Takeshi Miura
    International Journal of Mathematics and Mathematical Sciences 32(3) 189-192 2002年  査読有り

57. Decompositions of measures on compact abelian groups(共著)
    Osamu Hatori, Enji Sato
    Tokyo Journal of Mathematics 24(1) 13-18 2001年  査読有り

58. On a characterization of the maximal ideal spaces of commutative C*-algebras in which every elemet is the square of another(共著)
    Osamu Hatori, Takeshi Miura
    Proc. Amer. Math. Soc. 128(4) 1185-1189 2000年  査読有り

59. A structure of ring homomorphisms on commutative Banach algebras(共著)
    Sin-Ei Takahasi, Osamu Hatori
    Proceedings of the American Mathematical Society 127(8) 2283-2288 1999年8月  査読有り

60. Subalgebras of commutative Banach algebras and Fourier multipliers with natural spectra
    Osamu Hatori
    Contemporary Mathematics 232 171-187 1999年1月  査読有り

61. Measures with natural spectra on locally compact abelian groups
    O Hatori
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 126(8) 2351-2353 1998年8月  査読有り

62. Non-Lipschitz functions which operate on function spaces
    Osamu Hatori
    Scientiae Mathematicae 1(1) 7-14 1998年1月  査読有り

63. On the greatest regular closed subalgebras and the apostol algebras of Lp-multipliers whose fourier transforms are continuous and vanish at infinity
    Osamu Hatori
    Tokyo Journal of Mathematics 20(2) 453-462 1997年

64. Commutative Banach algebras and BSE-norm
    Sin-Ei Takahasi, Yasuji Takahashi, Osamu Hatori, Kotaro Tanahashi
    Mathematica Japonica 46(2) 273-277 1997年1月  査読有り

65. Apostol algebras and decomposition in Douglas algebras(共著)
    Osamu Hatori, Keiji Izuchi
    Michigan Mathematical Journal 44(3) 435-449 1997年  査読有り

66. Functions which operate on algebras of fourier multipliers
    Osamu Hatori
    Tohoku Mathematical Journal 47(1) 105-115 1995年  査読有り

67. A characterization of lacunary sets and spectral properties of Fourier multipliers
    O HATORI
    FUNCTION SPACES, SECOND CONFERENCE 172 183-203 1995年  査読有り

68. Fredholm composition operators on spaces of holomorphic functions
    Osamu Hatori
    Integral Equations and Operator Theory 18(2) 202-210 1994年1月  査読有り

69. Does a non-lipschitz function operate on a non trivial Banach function algebra?
    Osamu Hatori
    Tohoku Mathematical Journal 46(2) 253-260 1994年  査読有り

70. Separation properties and operating functions on a space of continuous functions
    Osamu Hatori
    International Journal of Mathematics 4(4) 551-600 1993年1月  査読有り

71. Symbolic calculus on a Banach algebra of continuous functions
    Osamu Hatori
    Journal of Functional Analysis 115(2) 247-280 1993年1月  査読有り

72. A discontinuous function does not operate on the real part of a real function algebra
    Osamu Hatori
    Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento 33 331-335 1993年1月  査読有り

73. Ring derivations on semi-simple commutative Banach algebras(共著)
    Osamu Hatori, Junzo Wada
    Tokyo Journal of Mathematics 15(1) 223-229 1992年  査読有り

74. Range transformations on a banach function algebra. IV
    Osamu Hatori
    Proceedings of the American Mathematical Society 116(1) 149-156 1992年  査読有り

75. ON THE LOCAL BEHAVIOR OF A BANACH-SPACE OF CONTINUOUS-FUNCTIONS AND ITS APPLICATION TO THE PROBLEM ON THE RANGE TRANSFORMATIONS
    O HATORI
    FUNCTION SPACES 136 169-187 1992年  

76. Commutative Banach algebras and BSE-inequalities(共著)
    Sin-Ei Takahasi, Osamu Hatori
    Mathematica Japonica 37(4) 607-614 1992年1月  査読有り

77. Commutative banach algebras which satisfy a bochner-schoenberg-eberlein-type theorem
    Sin-Ei Takahasi, Osamu Hatori
    Proceedings of the American Mathematical Society 110(1) 149-158 1990年  査読有り

78. Range transformations on a banach function algebra. II
    Osamu Hatori
    Pacific Journal of Mathematics 138(1) 89-118 1989年  査読有り

79. FUNCTIONAL-CALCULUS FOR CERTAIN BANACH FUNCTION ALGEBRAS
    O HATORI
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 38(1) 103-112 1986年1月  査読有り

80. Range transformations on a banach function algebra
    Osamu Hatori
    Transactions of the American Mathematical Society 297(2) 629-643 1986年  査読有り

81. REMARKS ON A CLOSED SUBALGEBRA OF A BANACH FUNCTION ALGEBRA
    O HATORI
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 61(6) 182-185 1985年  査読有り

82. A remark on a theorem of B. T. Batikyan and E. A. Gorin
    Osamu Hatori
    Tokyo Journal of Mathematics 7(1) 157-160 1984年  査読有り

83. Functions which operate by composition on the real part of a banach function algebra
    Osamu Hatori
    Tokyo Journal of Mathematics 6(2) 423-429 1983年

84. FUNCTIONS WHICH OPERATE ON THE REAL PART OF A FUNCTION ALGEBRA

Osamu HATORI
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 83(3) 565-568 1981年