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Volumn 39, Issue 3, 1998, Pages 469-482

Convex functions with non-Borel set of Gâteaux differentiability points

Author keywords

Borel set; Convex function; Fundamental system; G teaux differentiability points

Indexed keywords


EID: 1842446222     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (10)

References (20)
  • 5
    • 0001841247 scopus 로고
    • Biorthogonal systems and big quotient spaces
    • Finet C., Godefroy G., Biorthogonal systems and big quotient spaces, Contemporary Math-ematics 85 (1989), 87-110
    • (1989) Contemporary Math-ematics , vol.85 , pp. 87-110
    • Finet, C.1    Godefroy, G.2
  • 6
    • 0010130749 scopus 로고
    • Biortogonal'nyje sistemy v prostranstvach ogranichennyh funkcij
    • Godun B.V., Biortogonal'nyje sistemy v prostranstvach ogranichennyh funkcij, Dokl. Akad. Nauk. Ukrain. SSR, Ser. A, n. 3 (1983), 7-9
    • (1983) Dokl. Akad. Nauk. Ukrain. SSR, Ser. A, n , vol.3 , pp. 7-9
    • Godun, B.V.1
  • 7
    • 21344442223 scopus 로고
    • On complete biorthogonal systems in a Banach space
    • Godun B.V., On complete biorthogonal systems in a Banach space, Funkcional. Anal. i Prilozhen. 17 (1) (1983), 1-7
    • (1983) Funkcional. Anal. i Prilozhen , vol.17 , Issue.1 , pp. 1-7
    • Godun, B.V.1
  • 8
    • 21344448024 scopus 로고
    • Banach spaces without complete minimal system
    • Godun B.V., Kadec M.I., Banach spaces without complete minimal system, Functional Anal. and Appl. 14 (1980), 301-302
    • (1980) Functional Anal. and Appl , vol.14 , pp. 301-302
    • Godun, B.V.1    Kadec, M.I.2
  • 10
    • 51249179643 scopus 로고    scopus 로고
    • On Banach spaces which contain l1(t) and types of measures on compact spaces
    • Haydon R., On Banach spaces which contain l1(t) and types of measures on compact spaces, Israel J. Math 28 (1997), 313-324
    • (1997) Israel J. Math , vol.28 , pp. 313-324
    • Haydon, R.1
  • 11
    • 3142550863 scopus 로고
    • (1970), Springer-Verlag, Berlin, New York
    • Hewitt E., Ross K.A., Abstract Harmonic Analysis, Vol I (1963), Vol II (1970), Springer-Verlag, Berlin, New York
    • (1963) Abstract Harmonic Analysis , vol.1 , Issue.3
    • Hewitt, E.1    Ross, K.A.2
  • 12
    • 0001909505 scopus 로고
    • Banach spaces and Topology
    • North-Holland, Amsterdam, New York, Oxford, Tokyo
    • Negrepontis S., Banach spaces and Topology, Handbook of Set-Theoretic Topology, North-Holland, Amsterdam, New York, Oxford, Tokyo, 1984, pp. 1045-1142
    • (1984) Handbook of Set-Theoretic Topology , pp. 1045-1142
    • Negrepontis, S.1
  • 13
    • 0003466110 scopus 로고
    • Convex Functions Monotone Operators and Differentiability
    • Springer-Verlag, Berlin, Heidelberg
    • Phelps R.R., Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Mathematics 1364, Springer-Verlag, Berlin, Heidelberg, 1993
    • (1993) Lecture Notes in Mathematics , vol.1364
    • Phelps, R.R.1
  • 14
    • 0013476992 scopus 로고
    • Banach space without a fundamental biorthogonal system
    • Plichko A.N., Banach space without a fundamental biorthogonal system, Soviet Math. Dokl. 22 (1980), 450-453
    • (1980) Soviet Math. Dokl , vol.22 , pp. 450-453
    • Plichko, A.N.1
  • 15
    • 84971710288 scopus 로고
    • A class of null sets associated with convex functions on Banach spaces
    • Rainwater J., A class of null sets associated with convex functions on Banach spaces, Bull. Austral. Math. Soc. 42 (1990), 315-322
    • (1990) Bull. Austral. Math. Soc , vol.42 , pp. 315-322
    • Rainwater, J.1
  • 16
    • 0001067797 scopus 로고
    • On quasi-complemented subspaces. with an appendix on compactness of operators from Lp(μ) to Lr(μ), J
    • Rosenthal H.P., On quasi-complemented subspaces, with an appendix on compactness of operators from Lp(μ) to Lr(μ), J. Functional Analysis 4 (1969), 176-214
    • (1969) Functional Analysis , vol.4 , pp. 176-214
    • Rosenthal, H.P.1
  • 19
    • 0000221827 scopus 로고
    • Simultaneous resolutions of the identity operator in normed spaces
    • Valdivia M., Simultaneous resolutions of the identity operator in normed spaces, Collect. Math. 42 (1991), 265-284
    • (1991) Collect. Math , vol.42 , pp. 265-284
    • Valdivia, M.1
  • 20
    • 85068189592 scopus 로고
    • A note on partial derivatives of convex functions
    • Zajíček L., A note on partial derivatives of convex functions, Comment. Math. Univ. Ca-rolinae 24 (1983), 89-91
    • (1983) Comment. Math. Univ. Ca-rolinae , vol.24 , pp. 89-91
    • Zajíček, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.