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Volumn 213, Issue 2, 1997, Pages 487-495

Rolle's theorem and negligibility of points in infinite dimensional Banach spaces

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; THEOREM PROVING;

EID: 0031221645     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5552     Document Type: Article
Times cited : (12)

References (10)
  • 1
    • 0003019921 scopus 로고
    • Every infinite-dimensional Hubert space is diffeomorphic with its unit sphere
    • 1. C. Bessaga, Every infinite-dimensional Hubert space is diffeomorphic with its unit sphere, Bull. Acad. Polon. Sci. Sér. Sci. Math. 14 (1966), 27-31.
    • (1966) Bull. Acad. Polon. Sci. Sér. Sci. Math. , vol.14 , pp. 27-31
    • Bessaga, C.1
  • 2
    • 0003284180 scopus 로고
    • Selected topics in infinite-dimensional topology
    • PWN, Warsaw
    • 2. C. Bessaga and A. Pelczynski, Selected topics in infinite-dimensional topology, in "Monografic Matematyczne," PWN, Warsaw, 1975.
    • (1975) Monografic Matematyczne
    • Bessaga, C.1    Pelczynski, A.2
  • 4
    • 0000685433 scopus 로고
    • Smooth and R-analytic negligibility of subsets and extension of homeomorphism in Banach spaces
    • 4. T. Dobrowolski, Smooth and R-analytic negligibility of subsets and extension of homeomorphism in Banach spaces, Studia Math. 65 (1979), 115-139.
    • (1979) Studia Math. , vol.65 , pp. 115-139
    • Dobrowolski, T.1
  • 5
    • 84966198944 scopus 로고
    • Nonconvex minimization problems
    • 5. I. Ekeland, Nonconvex minimization problems, Bull. Amer. Math. Soc. (N.S.) 1, No. 3 (1979), 443-474.
    • (1979) Bull. Amer. Math. Soc. (N.S.) , vol.1 , Issue.3 , pp. 443-474
    • Ekeland, I.1
  • 6
    • 0029692993 scopus 로고    scopus 로고
    • On smooth variational principles in Banach spaces
    • 6. M. Fabian, P. Hájek, and J. Vanderwerff, On smooth variational principles in Banach spaces, J. Math. Anal. Appl. 197 (1996), 153-172.
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 153-172
    • Fabian, M.1    Hájek, P.2    Vanderwerff, J.3
  • 7
    • 85030017440 scopus 로고    scopus 로고
    • private communication
    • 7. J. Bés and J. Ferrera, private communication.
    • Bés, J.1    Ferrera, J.2
  • 9
    • 0003218598 scopus 로고
    • Convex functions, monotone operators and differentiability
    • Springer-Verlag, Berlin/New York
    • 9. R. R. Phelps, Convex functions, monotone operators and differentiability, in "Lecture Notes in Mathematics," Vol. 1364, Springer-Verlag, Berlin/New York, 1993.
    • (1993) Lecture Notes in Mathematics , vol.1364
    • Phelps, R.R.1
  • 10
    • 0000504638 scopus 로고
    • On Rolle's theorem in infinite-dimensional Banach spaces
    • 10. S. A. Shkarin, On Rolle's theorem in infinite-dimensional Banach spaces, Mat. Zametki 51, No. 3 (1992), 128-136.
    • (1992) Mat. Zametki , vol.51 , Issue.3 , pp. 128-136
    • Shkarin, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.