Publications

  1. H. Osaka, Completely bounded maps between the preduals of von Neumann algebras, Proc. A. M. S. 111(1991), 359 - 364.
  2. H. Osaka, Completely bounded multilinear functionals on C*-algebras, Math. Japonica 36(1991), 363- 369.
  3. H. Osaka, Positive projections on C*-algebras, Tokyo J. Math. 14(1991), 73 - 83.
  4. H. Osaka, Indecomposable positive maps in low dimensional matrix algebras, Linear Alg. Appl. 153(1991), 73 - 83.
  5. H. Osaka, A class of extremal positive maps in 3 x 3 matrix algebras, R.I.M.S. Kyoto Univ. 28(1992), 747 - 756.
  6. H. Osaka, A series of absolutely indecomposable maps in low dimensional matrix algebras, Linear Alg. Appl. 186(1993), 45 - 53.
  7. H. Osaka, Counterexamples of Brown-Pedersen's conjecture in "C*-algebras of real rank zero", Proc. A. M. S. 118(1993), 495-497.
  8. H. Osaka, Real rank of crossed products by connected compact groups, Bull. London Math. 27(1995), 257 - 264.
  9. K. Kodaka and H. Osaka, Real rank of tensor products of C*-algebras, Proc. A. M. S. 123(1995), 2213 - 2215.
  10. J. A Jeong, K. Kodaka, and H. Osaka, Purely infinite simple C*-crossed products II, Canad. Math. Bull. 39(1996), 203 - 210.
  11. H. Lin and H. Osaka, Real rank of multiplier algebras of C*-algebras of real rank zero, Operator Alg. Appl.(Waterloo ON, 1994/1995), 235 - 241, Fields Inst., Commun 13,A. M. S., Providence RI, 1997.
  12. N. Larsen and H. Osaka, Extremally richness of multiplier algebras and corona algebras of simple C*-algebras, J. Operator Theory 38(1997), 131 - 149.
  13. J. A Jeong and H. Osaka, Extremally rich C*-crossed products and cancellation property, J. Australian Math. Soc. 64(1998), 285 - 301.
  14. H. Osaka, Certain C*-algebras with non-zero real rank and extremal richness, Math. Scand. 85(1999), 79 - 86.
  15. K. Kodaka and H. Osaka, FS-property for C*-algebras, Proc. A. M. S. 129(2001), 999 - 1003
  16. H. Osaka, SP-property for a pair of C*-algebras, J. Operator Theory 46(2001), 159 - 171.
  17. M. Nagisa, H. Osaka and N. C. Phillips, Ranks of algebras of continuous C*-algebra valued functions, Canad. J. Math. 53(2001), 979 - 1030.
  18. H. Lin and H. Osaka, Tracially topological quasidiagonal extensions and topological stable rank, Illinois J. Math. 47(2003), 921 - 937.　
  19. H. Osaka, Noncommutative dimension for C*-algebras , The Interdisplinary Information Sciences, 9(2003), 209 - 220.
  20. H. Lin and H. Osaka, The Rokhlin property and the tracial topological rank, Journal Funct. Anal., 218(2005), 475 - 494.
  21. H. Osaka, S. D. Silvestrov, and J. Tomiyama, Monotone operator functions on C*-algebras, Internatinal Journal of Mathematics, 16(2005), 181 - 196.
  22. H. Osaka and T. Teruya,Topological stable rank of inclusions of unital C*-algebras, Internatinal Journal of Mathematics, 17(2006), 19 - 34.
  23. H. Osaka and N. C. Phillips, Stable and real rank for crossed products by automorphismss with tracial Rokhlin property, Ergod. Th. Dynam. Sys. 26(2006), 1579 - 1621.
  24. H. Osaka and N. C. Phillips, Furstenberg transformations on irrational Rotation algebras, Ergod. Th. Dynam. Sys. 26(2006), 1623 - 1651.
  25. H. Osaka, S. D. Silvestrov, and J. Tomiyama, Monotone operator functions, gaps and power moment problem, Math. Scand 100(2007), 161 - 183.
  26. H. Osaka and T. Teruya, Stable rank of inclusion of C*-algebras of depth 2, C. R. Math. Rep. Acad. Sci. Royal Soc. Canada. 29(2007), 28 - 32.
  27. H. Lin and H. Osaka, The Rokhlin property for automorphisms on simple AT-algebras, Ergod. Th. Dynam. Sys. 28(2008), 1215 - 1241
  28. H. Osaka, Stable rank for inclusions of C*-algebras, Internatinal Journal of Mathematics 19(2008), 1011-1020.
  29. J. A Jeong, H.Osaka, N. C. Phillips, and T. Teruya, Cancellation of C*-crossed products, Indiana Univ. Math. J. 58(2009), 1537 - 1564.
  30. H. Osaka、K. Kodaka and T. Teruya, Rohlin property for inclusions of C*-algebras with a finite Watatani index, Operator structures and Dynamical Systems, Contemporary Mathematics 503(2009), 179 - 195.
  31. H. Osaka and J. Tomiyama, Double piling structure of matrix monotone functions and of matrix convex functions, Linear Algebra and its Applications 431(2009), 1825 - 183.
  32. H. Osaka, S. D. Silvestrov, and J. Tomiyama, Operator convex functions on C*-algebras, the Proceedings of the Estonian Academy of Sciences, 59(2010), 48 - 52.
  33. H. Osaka and N. C. Phillips, Crossed products by finite group actions with the Rokhlin property, Math. Z. 270(2012), 19 - 42. (arXiv. 0704.3651).
  34. H. Osaka and J. Tomiyama, Note on the structure of matrix monotone functions, Analysis for Sciences, Engineering and Beyond, The tribute workshop in honor of Gunnar Sparr held in Lund, May 8-9, 2008, Spring Proceedings in Mathematics, vol 6, 319 - 324.
  35. H. Osaka and J. Tomiyama, Double piling structure of matrix monotone functions and of matrix convex functions, Linear Algebra and its Applications, 437(2012), 735 - 748. (arxiv:1104.3372)
  36. S.-H. Kye and H. Osaka, Classification of bi-qutrit PPT entangled edge states by their ranks, Journal of Mathematical Physics, 53(2012), 052201. (arxiv:1202.1699[quant-ph])
  37. D. T. Hoa, H. Osaka, and H. M. Toan, On generalized Powers-Stormer's inequality, Linear Algebra Appl. 438(2013), no.1, 242-249.
  38. D. T. Hoa, H. Osaka, and H. M. Toan, The linear span of projections in AH algebras and for inclusions of C*-algebras, Abstr. Appl. Anal. 2013, Art. ID 204319, 12pp. 46L05
  39. H. Osaka and T. Teruya, Strongly self-absorbing property for inclusions of C*-algebras with a finite Watatani index, Trans. Amer. Math. Soc. 366(2014) no. 3 1685 - 1702.(arxiv:1002.4233).
  40. D. T .Hoa and H. Osaka, Inequalities for Interpolation functions, Banach J. Math. Anal. 9(2015), 67-74.
  41. D. T. Hoa, H. Osaka, and J. Tomiyama, Characterization of the monotonicity by the inequality, Linear and Multilinear Algebras 63(2015), no.8.1577-1589 (arxiv:1207.5201).
  42. D. T. Hoa, H. Osaka, and H. M. Toan, Interpolation classes and matrix mean, Banach J. Math. Anal. 9(2015), 140-152.
  43. D. T. Hoa and H. Osaka, Inequalities for interpolation functions, Banach J. Math. Anal. 9(2015), 67-74
  44. D. T. Hoa, T. B. Khue, and H. Osaka, The generalized reverse Caucy inequality, Linear and Multilinear Algebras 64(2016), no.7, 1415-1423.
  45. H. Osaka, Matrix monotone functions and the generalized Powers-St$\o$rmer Inequality, Ordered Structures and Applications: Positivity VII, 349-361, Springer Inter. Publ., 2016.
  46. H. Osaka and S. Wada, Unexpected relations which characterize operator means, Proc. A.M.S. Ser. B3 (2016), 9-17.
  47. H. Osaka and T. Teruya, Permanenc of nuclear dimension for inclusions of unital C*-algebras with the Rokhlin property, Advance in Operator Theory 3(2018), no.3 123-136.
  48. H. Osaka and T. Teruya, The Jiang-Su absorption for inclusion of unital C*-algebras, Canad. J. Math. 70 (2018), no.2, 400-425. (arxiv:1404:7663)
  49. H. Osaka, Y. Tsurumi and S. Wada, Generalized reverse Cauchy inequality and applications to operator means, Journal of Mathematical & inequality 12 (2018), no.4, 1029 - 1039.
  50. B. Collins, H. Osaka, and G. Sapra, On a family of linear maps from M_n(C) to M_{n^2}(C), LAA 555 (2018), 398 - 411, (arXiv:1802.07553)
  51. H. H. Lee and H. Osaka, On dualities of actions and inclusions, J. F. A. 276 (2019), no.2, 602-635. (arXiv.1710.08406)
  52. H. Osaka, Y. Tsurumi and S. Wada, Chracterization of operator convex functions by certain operator inequalities, Mathematical Inequalities & Applications 22 (2019), no.2, 565 - 575.
  53. P. Bag, S. Dey, and H. Osaka,, Comparing geometric discord and negativity for Bipartitte states, Physics Letter A 383 (2019), no. 33, 125973, 81p40, arXiv: 1812.11156.
  54. P. Bag, S. Dey, M. Nagisa and H. Osaka, submitted, The order-n minors of certain (n+k) x n matrices , LAA 603 (2020), 368-389,, arXiv:1906.10537.
  55. H. Osaka and T. Teruya, The Rokhlin property for inclusions of C*-algebras, Rocky Mountain J. Math. 50(2020), 1785-1792. (arXiv:1803.08257).
  56. B. V. Rajarma Bhat and H. Osaka, A factorization property of positive maps on C*-algebras, Inter. J. Quantum Informationl, 18, no.5 (2020) 2050019. (arXiv:1912:02381).
  57. H. Osaka and G. Ramesh, Linear maps preserving $\mathcal{AN}$-operators , Bulletin Korean J. Math. 57 (2020), 831-838.
  58. T. H. Dinh, H. Osaka, and S. Wada, Maps preserving operator means , Annals Funct. Annal. 11 (2020), 1203-1219,
  59. H. Osaka and T. Teruya, The erratum: The Jiang-Su absorption for inclusion os C*-algebras ,Canad. Math. J. 73 (2021), (1), 293-295.
  60. Hyun Ho Lee and H. Osaka, Tracially sequentially-split *-homomorphisms between C*-algebras, Annals Funct. Annal, 12 (2021), no. 2, Paper No. 37, 23pp. (arXiv.1707.0737)
  61. H. Osaka and G. Ramesh, On a subclass of norm attainning operators, Acta Sci. Math. (Hungary) 87 (2021), No.1-2, 247 - 263..
  62. H. Osaka and Y. Udagawa, Interpolation functions and inequalities, Linear and Multilinear Algebras, 70 (2022), no. 20, 4897-4906.
  63. H. Osaka and G. Ramesh, On operators which attain their norm on every reducing subspace, Ann. Funct. Annal., 13 (2022), 19 https://doi.org/10.1007/s43034-022-00167-8.
  64. S. Dey, H. Osaka, H. Trivedi, Rokhlin Property for Group Actions on Hilbert $C^*$-modules, Southeast Asian Bull. Math. 46(2022), no.2151?171, arXiv:1605.06050.
  65. T. H. Dinh and H. Osaka, Matrix inequalities and characterizations of operator monotone functions, Operator and Norm Inequalities and Related Topics in xiii+822 pages, Springer, 2022.
  66. H. Osaka and S. Wada, Perspectives, means and their inequalities, Operator and Norm Inequalities and Related Topics in xiii+822 pages, Springer, 2022.
  67. Hyun Ho Lee and H. Osaka, On permanence of regularity properties,Topology and Analysis, https://www.worldscientific.com/doi/epdf/10.1142/S1793525323500140, arXiv:1906.06950.
  68. G. Ramesh, H. Osaka, Y. Udagawa and T. Yamazaki, Stability of AN-operators under functional Calculus, Analysis Math. 49 (3) (2023), 825-839.
  69. G. Ramesh, H. Osaka, Y. Udagawa and T. Yamazaki, Stability of AN-property for the induced Aluthge transformations , Linear Alg. Appl. 678 (2023), 206-226.
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Preprints

  1. J. A Jeong and H. Osaka, Stable rank of crossed products by finite groups, 1997.
  2. J. A Jeong and H. Osaka, Cancellation of crossed products, 2000, unpublished.
  3. H, Osaka and J. Tomiyama, On the class of 2-monotone functions, unpublished.
  4. G. Kimura and H. Osaka, unpublished.
  5. H. Osaka and N. C. Phillips, Crossed products of simple C*-algebras with tracial rank one by action with the tracial Rokhlin property, in preparation.
  6. H. Osaka and J. Tomiyama, Gap problems of matrix monotone functions and matrix convex functions, unpublished.
  7. H. Ohno, H. Osaka and T. Teruya, in preparation.
  8. H. Osaka, Stable rank for crossed products by actions of finite groups on C*-algebras, unpublished, arXiv:1708.02665.
  9. Hyun Ho Lee and H. Osaka, The tracial Rokhlin property for an inclusion of unital C*-algebras, submitted, arXiv.1805.01613.
  10. M. Mrciniak, H. Osaka, and T. Mlynik, On a class of k-entanglement witnesses, submitted, arXiv:2104.14058.
  11. M. Ali Asadi-Vasfi, H. Osaka, T. Teruya, in preparation.
  12. M. Nagisa, H. Osaka and R. Tomita, Stable rank for inclusions of Banach algebras, submitted, arXiv:2109.09867.
  13. H. Osaka and T. Yamazaki, Limits of iteration of the induced Althuge transformations of centered operators, submitted, 2023.
  14. P. Bag, P. K. Das, H. Osaka, and H. Podder, Measure-Expansive Linear Maps on Finite Dimensional Hilbert Spaces, submitted, 2023.
  15. H. Osaka and T. Teruya, in preparation.
  16. M. Kian, M. Moslehian, and H. Osaka, Generalization of the Powers-Stormer's inequality revisited, submitted, arXiv:2302.07818.
  17. T. H. Dinh, A. V. Le, H. Osaka and N. Y. Phan, New quantum divergences generated by monotone functions, submitted, 2023.
  18. T. H. Dinh, H. Osaka and B. K. Vo, Contraharmonic means and characterization of operator monotone functions, in preparation.
  19. T. Yamazaki, H. Osaka and S. S. Sequeira, in preparation.
  20. R. Golla, L. Molnar, M. Moriya, H. Osaka, and S S. Sequeira, in preparaion.
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