메뉴 건너뛰기
Journal of the European Mathematical Society
Volumn 12, Issue 2, 2010, Pages 385-412
Fréchet differentiability of Lipschitz functions via a variational principle
Author keywords

[No Author keywords available]
Indexed keywords

EID: 77954941494     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: 10.4171/JEMS/202     Document Type: Article
Times cited : (5)
References (10)
  • 1
    • 0003271387 scopus 로고    scopus 로고
    • Geometric nonlinear functional analysis. Vol. 1, colloq
    • Zbl 0946.46002 MR 1727673
    • Benyamini, Y., Lindenstrauss, J.: Geometric Nonlinear Functional Analysis. Vol.1, Colloq. Publ. 48, Amer. Math. Soc. (2000) Zbl 0946.46002 MR 1727673
    • (2000) Publ. 48, Amer. Math. Soc.
    • Benyamini, Y.1    Lindenstrauss, J.2
  • 2
    • 84966213239 scopus 로고
    • A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions
    • Zbl 0632.49008 MR 0902782
    • Borwein, J. M., Preiss, D.: A smooth variational principle with applications to sub- differentiability and to differentiability of convex functions. Trans. Amer. Math. Soc. 303, 517-528 (1987) Zbl 0632.49008 MR 0902782
    • (1987) Trans. Amer. Math. Soc. , vol.303 , pp. 517-528
    • Borwein, J.M.1    Preiss, D.2
  • 3
    • 26644431576 scopus 로고    scopus 로고
    • Cone monotone functions, differentiability and continuity
    • Zbl 1095.49015 MR 2164591
    • Borwein, J. M., Wang, X.: Cone monotone functions, differentiability and continuity. Canad. J. Math. 57, 961-982 (2005) Zbl 1095.49015 MR 2164591
    • (2005) Canad. J. Math. , vol.57 , pp. 961-982
    • Borwein, J.M.1    Wang, X.2
  • 4
    • 0003293351 scopus 로고
    • Smoothness and renormings in banach spaces
    • Longman Zbl 0782.46019 MR 1211634
    • Deville, R., Godefroy, G., Zizler, V.: Smoothness and Renormings in Banach Spaces. Pitman Monogr. Surveys 64, Longman (1993) Zbl 0782.46019 MR 1211634
    • (1993) Pitman Monogr. Surveys , vol.64
    • Deville, R.1    Godefroy, G.2    Zizler, V.3
  • 5
    • 0000305685 scopus 로고    scopus 로고
    • A new proof of fréchet differentiability of Lipschitz functions
    • Zbl 0968.58006 MR 1776937
    • Lindenstrauss, J., Preiss, D.: A new proof of Fréchet differentiability of Lipschitz functions, J. Eur. Math. Soc. 2, 199-216 (2000) Zbl 0968.58006 MR 1776937
    • (2000) J. Eur. Math. Soc. , vol.2 , pp. 199-216
    • Lindenstrauss, J.1    Preiss, D.2
  • 6
    • 77954901577 scopus 로고    scopus 로고
    • Fréchet differentiability of lipschitz maps and porous sets in banach spaces
    • Lindenstrauss, J., Preiss, D., Tišer, J.: Fréchet Differentiability of Lipschitz Maps and Porous Sets in Banach Spaces. A book in preparation
    • A Book in Preparation
    • Lindenstrauss, J.1    Preiss, D.2    Tišer, J.3
  • 7
    • 33646919809 scopus 로고
    • Gâteaux differentiable lipschitz functions need not be frechet differentiable on a residual set
    • Zbl 0518.46032 MR 0683783
    • Preiss, D.: Gâteaux differentiable Lipschitz functions need not be Frechet differentiable on a residual set. Suppl. Rend. Circ. Mat. Palermo (2) 2, 217-222 (1982) Zbl 0518.46032 MR 0683783
    • (1982) Suppl. Rend. Circ. Mat. Palermo , vol.2 , Issue.2 , pp. 217-222
    • Preiss, D.1
  • 8
    • 51249179604 scopus 로고
    • Gâteaux differentiable functions are somewhere fréchet differentiable
    • Zbl 0573.46024 MR 0743214
    • Preiss, D.: Gâteaux differentiable functions are somewhere Fréchet differentiable. Rend. Circ. Mat. Palermo (2) 33, 122-133 (1984) Zbl 0573.46024 MR 0743214
    • (1984) Rend. Circ. Mat. Palermo , vol.33 , Issue.2 , pp. 122-133
    • Preiss, D.1
  • 9
    • 0000107568 scopus 로고
    • Differentiability of lipschitz functions on banach spaces
    • Zbl 0711.46036 MR 1058975
    • Preiss, D.: Differentiability of Lipschitz functions on Banach spaces. J. Funct. Anal. 91, 312-345 (1990) Zbl 0711.46036 MR 1058975
    • (1990) J. Funct. Anal. , vol.91 , pp. 312-345
    • Preiss, D.1
  • 10
    • 0040660104 scopus 로고
    • Two unexpected examples concerning differentiability of lipschitz functions on banach spaces
    • Zbl 0872.46026 MR 1353461
    • Preiss, D., Tišer, J.: Two unexpected examples concerning differentiability of Lipschitz functions on Banach spaces. GAFA Israel Seminar 92-94, Birkhauser, 219-238 (1995) Zbl 0872.46026 MR 1353461
    • (1995) GAFA Israel Seminar 92-94 Birkhauser , pp. 219-238
    • Preiss, D.1    Tišer, J.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.