Papers

1. Spectral decomposition of power-bounded operators: The finite spectrum case, 

Shiho Oi and Jyamira Oppekepenguin,  arXiv:2501/02769,  

Advances in Operator Theory 10(2025) no. 54

2. Generalized gyrovector spaces revisited

Toshikazu Abe and Osamu Hatori, arXiv:2403.15015 

Nihonkai Mathematical Journal 35(1) 2024

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

Osamu Hatori and Shiho Oi, arXiv:2403.07341, 

Acta Scientiarum Mathematicarum (2025) 91:313–336 

4. Identification of Locally Compact Groups via the Metric Structure of the Groups of Invertible Elements in Fourier–Stieltjes Algebras 

Osamu Hatori and Shiho Oi, arXiv:2312.11827, 

Journal of Fourier Analysis and Applications 31(2025) no. 34

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

      Osamu Hatori

RIMS Kôkyûroku Bessatsu B93 29-82, 2023 

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

7. Tingley's problem on uniform algebras

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

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

9. 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査読有り責任著者

10. 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 査読有り

11. 2-local isometries on function spaces
    Osamu Hatori, Shiho Oi
    Contemp. Math., Recent Trends in Operator Theory and Applications 737 89-106, 2019 査読有り

12. 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  査読有り

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

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

15. 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  査読有り

16. 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 査読有り

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

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

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

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

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

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

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

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

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

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

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

28. 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  査読有り

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

30. 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  査読有り

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

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

33. 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 査読有り

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

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

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

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

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

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

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

41. 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 査読有り

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

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

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

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

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

47. 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査読有り

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

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

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

51. 2-local isometries and 2-local automorphisms on uniform algebras
    Osamu Hatori, Takeshi Miura, Hirokazu Oka, Hiroyuki Takagi
    Int. Math. Forum 2 49-52, 2007  査読有り

52. An example of multiplicatively spectrum-preserving maps between non-isomorphic semi-simple commutative Banach algebras
    Osamu, Hatori, Takeshi Miura, Hirokazu Oka
    Nihonkai Math. J. 18 11-15, 2007  

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

54. 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  査読有り

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

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

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

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

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

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

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

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

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

64. 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

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

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

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

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

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

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

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

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

73. 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  査読有り

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

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

76. 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 

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

78. 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  査読有り

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

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

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

82. 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  査読有り

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

84. 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

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

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