메뉴 건너뛰기




Volumn 202, Issue 3, 1996, Pages 1040-1057

Extension of the unit disk gyrogroup into the unit ball of any real inner product space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030587380     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0359     Document Type: Article
Times cited : (24)

References (25)
  • 3
    • 0011612875 scopus 로고
    • Distance-decreasing functions on the hyperbolic plane
    • 3. H. S. Bear, Distance-decreasing functions on the hyperbolic plane, Michigan Math. J. 39 (1992), 271-279.
    • (1992) Michigan Math. J. , vol.39 , pp. 271-279
    • Bear, H.S.1
  • 4
    • 0011621908 scopus 로고
    • On generalized cocycle equations
    • 4. B. R. Ebanks and C. T. Ng, On generalized cocycle equations, Aequationes Math. 46 (1993), 76-90.
    • (1993) Aequationes Math. , vol.46 , pp. 76-90
    • Ebanks, B.R.1    Ng, C.T.2
  • 5
    • 21844500867 scopus 로고
    • Cross product identities in arbitrary dimension
    • 5. A. Dittmer, Cross product identities in arbitrary dimension, Amer. Math. Monthly 9 (1994), 887-891.
    • (1994) Amer. Math. Monthly , vol.9 , pp. 887-891
    • Dittmer, A.1
  • 8
    • 0011554883 scopus 로고
    • Linear algebra by analogy
    • 8. S. H. Hochwald, Linear algebra by analogy, Amer. Math. Monthly 98 (1991), 918-926.
    • (1991) Amer. Math. Monthly , vol.98 , pp. 918-926
    • Hochwald, S.H.1
  • 9
    • 0003545055 scopus 로고    scopus 로고
    • Holomorphic automorphism groups in banach spaces: An elementary introduction
    • L. Nachbin, Ed.
    • 9. J. M. Isidro and L. L. Stachó, "Holomorphic Automorphism Groups in Banach Spaces: An Elementary Introduction" (L. Nachbin, Ed.), North-Holland Mathematics Studies, Vol. 105; Notas Math., Vol. 97, North-Holland, New York, 1984.
    • North-Holland Mathematics Studies , vol.105
    • Isidro, J.M.1    Stachó, L.L.2
  • 10
    • 0011623197 scopus 로고
    • North-Holland, New York
    • 9. J. M. Isidro and L. L. Stachó, "Holomorphic Automorphism Groups in Banach Spaces: An Elementary Introduction" (L. Nachbin, Ed.), North-Holland Mathematics Studies, Vol. 105; Notas Math., Vol. 97, North-Holland, New York, 1984.
    • (1984) Notas Math. , vol.97
  • 11
    • 84972530207 scopus 로고
    • Geometry of homogeneous Lie loops (section 2)
    • 10. M. Kikkawa, Geometry of homogeneous Lie loops (Section 2), Hiroshima Math. J. 5 (1975), 141-179.
    • (1975) Hiroshima Math. J. , vol.5 , pp. 141-179
    • Kikkawa, M.1
  • 14
    • 0003449868 scopus 로고
    • Springer-Verlag, New York
    • n," Springer-Verlag, New York, 1980.
    • (1980) n
    • Rudin, W.1
  • 15
    • 0345985444 scopus 로고    scopus 로고
    • Abstract space-times and their Lorentz groups
    • 14. J. D. H. Smith and A. A. Ungar, Abstract space-times and their Lorentz groups, J. Math. Phys. 37 (1996), 3073-3098.
    • (1996) J. Math. Phys. , vol.37 , pp. 3073-3098
    • Smith, J.D.H.1    Ungar, A.A.2
  • 16
    • 0002089006 scopus 로고
    • Weakly associative groups
    • 15. A. A. Ungar, Weakly associative groups, Res. Math. 17 (1990), 149-168.
    • (1990) Res. Math. , vol.17 , pp. 149-168
    • Ungar, A.A.1
  • 17
    • 0002588888 scopus 로고
    • The expanding Minkowski space
    • 16. A. A. Ungar, The expanding Minkowski space, Res. Math. 17 (1990), 342-354.
    • (1990) Res. Math. , vol.17 , pp. 342-354
    • Ungar, A.A.1
  • 18
    • 0001321336 scopus 로고
    • Thomas precession and its associated grouplike structure
    • 17. A. A. Ungar, Thomas precession and its associated grouplike structure, Amer. J. Phys. 59 (1991), 824-834.
    • (1991) Amer. J. Phys. , vol.59 , pp. 824-834
    • Ungar, A.A.1
  • 19
    • 0011625411 scopus 로고
    • Solving the velocity composition equation of special relativity, problem 6659
    • 18. A. A. Ungar, Solving the velocity composition equation of special relativity, Problem 6659, Amer. Math. Monthly 98 (1991), 445-446; and its solution, Amer. Math. Monthly 100 (1993), 500-502.
    • (1991) Amer. Math. Monthly , vol.98 , pp. 445-446
    • Ungar, A.A.1
  • 20
    • 0011675438 scopus 로고
    • 18. A. A. Ungar, Solving the velocity composition equation of special relativity, Problem 6659, Amer. Math. Monthly 98 (1991), 445-446; and its solution, Amer. Math. Monthly 100 (1993), 500-502.
    • (1993) Amer. Math. Monthly , vol.100 , pp. 500-502
  • 21
    • 0001448593 scopus 로고
    • The holomorphic automorphism group of the complex disk
    • 19. A. A. Ungar, The holomorphic automorphism group of the complex disk, Aequationes Math. 47 (1994), 240-254.
    • (1994) Aequationes Math. , vol.47 , pp. 240-254
    • Ungar, A.A.1
  • 22
    • 21344496569 scopus 로고
    • The abstract complex Lorentz transformation group with real metric. I. Special relativity formalism to deal with the holomorphic automorphism group of the unit ball in any complex Hilbert space
    • 20. A. A. Ungar, The abstract complex Lorentz transformation group with real metric. I. Special relativity formalism to deal with the holomorphic automorphism group of the unit ball in any complex Hilbert space, J. Math. Phys. 35 (1994), 1408-1425.
    • (1994) J. Math. Phys. , vol.35 , pp. 1408-1425
    • Ungar, A.A.1
  • 23
    • 21344496569 scopus 로고
    • Erratum: "The abstract complex Lorentz transformation group with real metric. I. Special relativity formalism to deal with the holomorphic automorphism group of the unit ball in any complex Hilbert space"
    • 21. A. A. Ungar, Erratum: "The abstract complex Lorentz transformation group with real metric. I. Special relativity formalism to deal with the holomorphic automorphism group of the unit ball in any complex Hilbert space," J. Math. Phys. 35 (1994), 3770.
    • (1994) J. Math. Phys. , vol.35 , pp. 3770
    • Ungar, A.A.1
  • 25
    • 0000987719 scopus 로고
    • Equivalence of two gyrogroup structures on unit balls
    • 23. Y. You and A. A. Ungar, Equivalence of two gyrogroup structures on unit balls, Res. Math. 28 (1995), 359-371.
    • (1995) Res. Math. , vol.28 , pp. 359-371
    • You, Y.1    Ungar, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.