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Volumn 188, Issue 2, 2008, Pages 135-150

Wheeling around von Neumann-Jordan constant in Banach spaces

Author keywords

Banach spaces; James constant; Von Neumann Jordan constant

Indexed keywords


EID: 53149150621     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm188-2-3     Document Type: Article
Times cited : (52)

References (23)
  • 1
    • 38049073135 scopus 로고    scopus 로고
    • A counterexample to a conjecture of G. Zbǎganu about the Neumann-Jordan constant
    • J. Alonso and P. Martín, A counterexample to a conjecture of G. Zbǎganu about the Neumann-Jordan constant, Rev. Roumaine Math. Pures Appl. 51 (2006), 135-141.
    • (2006) Rev. Roumaine Math. Pures Appl , vol.51 , pp. 135-141
    • Alonso, J.1    Martín, P.2
  • 3
    • 0001124066 scopus 로고
    • The von Neumann-Jordan constant for the Lebesgue spaces
    • J. A. Clarkson, The von Neumann-Jordan constant for the Lebesgue spaces, Ann. of Math. 38 (1937), 114-115.
    • (1937) Ann. of Math , vol.38 , pp. 114-115
    • Clarkson, J.A.1
  • 4
    • 53149118042 scopus 로고    scopus 로고
    • M. M. Day, Uniform convexity in factor and conjugate spaces, ibid. (2) 45 (1944), 375-385.
    • M. M. Day, Uniform convexity in factor and conjugate spaces, ibid. (2) 45 (1944), 375-385.
  • 6
    • 0002811034 scopus 로고
    • On moduli of convexity and smoothness
    • T. Figiel, On moduli of convexity and smoothness, Studia Math. 56 (1976), 121-155.
    • (1976) Studia Math , vol.56 , pp. 121-155
    • Figiel, T.1
  • 7
    • 30844447185 scopus 로고    scopus 로고
    • Normal structure and Pythagorean approach in Banach spaces
    • J. Gao, Normal structure and Pythagorean approach in Banach spaces, Period. Math. Hungar. 51 (2005), 19-30.
    • (2005) Period. Math. Hungar , vol.51 , pp. 19-30
    • Gao, J.1
  • 8
    • 53149140475 scopus 로고    scopus 로고
    • A note on Pythagorean approach in Banach spaces, J. Dynam. Systems Geom. Theor. 4 (2006), 125-132.
    • A note on Pythagorean approach in Banach spaces, J. Dynam. Systems Geom. Theor. 4 (2006), 125-132.
  • 9
    • 33645157864 scopus 로고    scopus 로고
    • J. Gao, A Pythagorean approach in Banach spaces, J. Inequal. Appl. 2006, Art. ID 94982, 11 pp.
    • J. Gao, A Pythagorean approach in Banach spaces, J. Inequal. Appl. 2006, Art. ID 94982, 11 pp.
  • 10
    • 34249300452 scopus 로고    scopus 로고
    • On some geometric parameters in Banach spaces, J. Math. Anal. Appl. 334 (2007), 114-122.
    • On some geometric parameters in Banach spaces, J. Math. Anal. Appl. 334 (2007), 114-122.
  • 11
    • 84972528456 scopus 로고
    • Modulus of convexity, characteristic of convexity and fixed point theorems
    • H. Ishihara and W. Takahashi, Modulus of convexity, characteristic of convexity and fixed point theorems, Kodai Math. J. 10 (1987), 197-208.
    • (1987) Kodai Math. J , vol.10 , pp. 197-208
    • Ishihara, H.1    Takahashi, W.2
  • 12
    • 0035665071 scopus 로고    scopus 로고
    • On James and Jordan-van Neumann constants and the normal structure coefficient of Banach spaces
    • M. Kato, L. Maligranda and Y. Takahashi, On James and Jordan-van Neumann constants and the normal structure coefficient of Banach spaces, Studia Math. 144 (2001), 275-295.
    • (2001) Studia Math , vol.144 , pp. 275-295
    • Kato, M.1    Maligranda, L.2    Takahashi, Y.3
  • 13
  • 14
    • 21744438019 scopus 로고    scopus 로고
    • On the von Neumann-Jordan constant for Banach spaces
    • M. Kato and Y. Takahashi, On the von Neumann-Jordan constant for Banach spaces, Proc. Amer. Math. Soc. 25 (4) (1997), 1055-1062.
    • (1997) Proc. Amer. Math. Soc , vol.25 , Issue.4 , pp. 1055-1062
    • Kato, M.1    Takahashi, Y.2
  • 15
    • 34548241837 scopus 로고    scopus 로고
    • Banach space properties sufficient for normal structure
    • E. M. Mazcuñan-Navarro, Banach space properties sufficient for normal structure, J. Math. Anal. Appl. 337 (2008), 197-218.
    • (2008) J. Math. Anal. Appl , vol.337 , pp. 197-218
    • Mazcuñan-Navarro, E.M.1
  • 18
    • 34250261591 scopus 로고
    • Potential operators
    • A. I. Perov, Potential operators, Math. Notes 24 (1978), 793-799.
    • (1978) Math. Notes , vol.24 , pp. 793-799
    • Perov, A.I.1
  • 19
    • 33750613586 scopus 로고    scopus 로고
    • On James and von Neumann-Jordan constants and sufficient conditions for the fixed point property
    • S. Saejung, On James and von Neumann-Jordan constants and sufficient conditions for the fixed point property, J. Math. Anal. Appl. 323 (2006), 1018-1024.
    • (2006) J. Math. Anal. Appl , vol.323 , pp. 1018-1024
    • Saejung, S.1
  • 20
    • 53149085067 scopus 로고    scopus 로고
    • Sufficient conditions for uniform normal structure of Banach spaces and their duals, ibid. 330 (2007), 597-604.
    • Sufficient conditions for uniform normal structure of Banach spaces and their duals, ibid. 330 (2007), 597-604.
  • 21
    • 53149136012 scopus 로고    scopus 로고
    • Y. Takahashi, Some geometric constants of Banach spaces - A unified approach, Abstract, Conference Katakyushu 9/06.
    • Y. Takahashi, Some geometric constants of Banach spaces - A unified approach, Abstract, Conference Katakyushu 9/06.
  • 22
    • 33748903877 scopus 로고    scopus 로고
    • On a new geometric constant related to the von Neumann-Jordan constant
    • C. Yang and F. Wang, On a new geometric constant related to the von Neumann-Jordan constant, J. Math. Anal. Appl. 324 (2006), 555-565.
    • (2006) J. Math. Anal. Appl , vol.324 , pp. 555-565
    • Yang, C.1    Wang, F.2
  • 23
    • 38049020944 scopus 로고    scopus 로고
    • An inequality of M. Rǎdulescu and S. Rǎdulescu which characterizes inner product spaces
    • G. Zbǎganu, An inequality of M. Rǎdulescu and S. Rǎdulescu which characterizes inner product spaces, Rev. Roumaine Math. Pures Appl. 47 (2001), 253-257.
    • (2001) Rev. Roumaine Math. Pures Appl , vol.47 , pp. 253-257
    • Zbǎganu, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.