메뉴 건너뛰기




Volumn 312, Issue 1, 2005, Pages 330-342

James orthogonality and orthogonal decompositions of Banach spaces

Author keywords

Banach spaces; Decompositions; g Orthogonality; Generalized projection operator; J co ordinate sum; James orthogonality; Modulus of convexity; Modulus of smoothness; Nonlinear manifolds; Subspaces

Indexed keywords


EID: 27644505021     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.03.027     Document Type: Article
Times cited : (27)

References (20)
  • 1
    • 0001884161 scopus 로고    scopus 로고
    • Metric and generalized projection operators in Banach spaces: Properties and applications
    • A. Kartsatos (Eds) Dekker New York
    • Ya.I. Alber Metric and generalized projection operators in Banach spaces: Properties and applications in: A. Kartsatos (Eds) Theory and Applications of Nonlinear Operators of Monotone and Accretive Type 1996 Dekker New York 15-50
    • (1996) Theory and Applications of Nonlinear Operators of Monotone and Accretive Type , pp. 15-50
    • Alber, Ya.I.1
  • 2
    • 0030167057 scopus 로고    scopus 로고
    • A bound for the modulus of continuity for metric projections in a uniformly convex and uniformly smooth Banach spaces
    • Ya.I. Alber A bound for the modulus of continuity for metric projections in a uniformly convex and uniformly smooth Banach spaces J. Approx. Theory 85 1996 237-249
    • (1996) J. Approx. Theory , vol.85 , pp. 237-249
    • Alber, Ya.I.1
  • 3
    • 0043098230 scopus 로고    scopus 로고
    • Generalized projections, decompositions and Pythagorean type theorem in Banach spaces
    • Ya.I. Alber Generalized projections, decompositions and Pythagorean type theorem in Banach spaces Appl. Math. Lett. 11 1998 115-121
    • (1998) Appl. Math. Lett. , vol.11 , pp. 115-121
    • Alber, Ya.I.1
  • 4
    • 4344713733 scopus 로고    scopus 로고
    • Decomposition theorems in Banach spaces
    • Operator Theory and Its Applications
    • Ya.I. Alber Decomposition theorems in Banach spaces in: Operator Theory and Its Applications in: Fields Instit. Commun. vol. 25 2000 77-93
    • (2000) Fields Instit. Commun. , vol.25 , pp. 77-93
    • Alber, Ya.I.1
  • 6
    • 0010721127 scopus 로고
    • Applications of functional analysis to approximation theory
    • doctoral dissertation, Brown University, Providence, RI
    • F. Deutsch, Applications of functional analysis to approximation theory, doctoral dissertation, Brown University, Providence, RI, 1965
    • (1965)
    • Deutsch, F.1
  • 8
    • 0010721128 scopus 로고
    • Applications of the Hahn-Banach theorem in approximation theory
    • F. Deutsch P. Maserick Applications of the Hahn-Banach theorem in approximation theory SIAM Rev. 9 1967 516-530
    • (1967) SIAM Rev. , vol.9 , pp. 516-530
    • Deutsch, F.1    Maserick, P.2
  • 9
    • 0003317987 scopus 로고
    • The Geometry of Banach Spaces
    • Springer
    • J. Diestel The Geometry of Banach Spaces Lecture Notes in Math. vol. 485 1975 Springer
    • (1975) Lecture Notes in Math. , vol.485
    • Diestel, J.1
  • 10
    • 0040031826 scopus 로고
    • Theory of Extremal Problems
    • Amsterdam: North-Holland
    • A.D. Ioffe V.M. Tikhomirov Theory of Extremal Problems Stud. Math. Appl. vol. 6 1979 North-Holland Amsterdam
    • (1979) Stud. Math. Appl. , vol.6
    • Ioffe, A.D.1    Tikhomirov, V.M.2
  • 11
    • 84959795019 scopus 로고
    • Inner products in normed linear spaces
    • R.C. James Inner products in normed linear spaces Bull. Amer. Math. Soc. 53 1947 559-566
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 559-566
    • James, R.C.1
  • 12
    • 84972539029 scopus 로고
    • Nonlinear semigroups and evolution equations
    • T. Kato Nonlinear semigroups and evolution equations J. Math. Soc. Japan 19 1967 508-520
    • (1967) J. Math. Soc. Japan , vol.19 , pp. 508-520
    • Kato, T.1
  • 13
  • 14
    • 0003946958 scopus 로고
    • Quelques methodes de resolution des problemes aux limites non lineaires
    • Paris: Dunod, Gauthier-Villars
    • J.-L. Lions Quelques methodes de resolution des problemes aux limites non lineaires 1969 Dunod, Gauthier-Villars Paris
    • (1969)
    • Lions, J.-L.1
  • 17
    • 0001650577 scopus 로고
    • Décomposition orthogonale d'un epsom hilbertien selon deux cônes mutuellement polaires
    • J.J. Moreau Décomposition orthogonale d'un epsom hilbertien selon deux cônes mutuellement polaires C. R. Acad. Sci. Paris 255 1962 238-240
    • (1962) C. R. Acad. Sci. Paris , vol.255 , pp. 238-240
    • Moreau, J.J.1
  • 18
    • 0011660758 scopus 로고
    • On an extremal problem in a normed linear space
    • (in Russian)
    • G.S. Rubinstein On an extremal problem in a normed linear space Sibirsk. Math. Zh. 6 1965 711-714 (in Russian)
    • (1965) Sibirsk. Math. Zh. , vol.6 , pp. 711-714
    • Rubinstein, G.S.1
  • 19
    • 27644586739 scopus 로고
    • A solution to Hirschfeld's problem
    • W.J. Stiles A solution to Hirschfeld's problem Nieuw Arch. Wisk. 13 3 1965 116-119
    • (1965) Nieuw Arch. Wisk. , vol.13 , Issue.3 , pp. 116-119
    • Stiles, W.J.1
  • 20
    • 27644454314 scopus 로고
    • Closets-point maps and their products
    • W.J. Stiles Closets-point maps and their products Nieuw Arch. Wisk. 13 3 1965 19-29
    • (1965) Nieuw Arch. Wisk. , vol.13 , Issue.3 , pp. 19-29
    • Stiles, W.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.