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Volumn 125, Issue 2, 1997, Pages 179-186

Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces

Author keywords

Cp smooth norm; Spheres and hyperplanes in Banach spaces

Indexed keywords


EID: 0031460706     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-125-2-179-186     Document Type: Article
Times cited : (17)

References (15)
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    • Bessaga, C.1
  • 2
    • 0003173633 scopus 로고
    • Interplay between infinite-dimensional topology and functional analysis. Mappings defined by explicit formulas and their applications
    • -, Interplay between infinite-dimensional topology and functional analysis. Mappings defined by explicit formulas and their applications, Topology Proc. 19 (1994), 15-35.
    • (1994) Topology Proc. , vol.19 , pp. 15-35
  • 3
    • 0003284180 scopus 로고
    • Selected topics in infinite-dimensional topology
    • PWN, Warszawa
    • C. Bessaga and A. Pełczyński, Selected Topics in Infinite-Dimensional Topology, Monograf. Mat. 58, PWN, Warszawa, 1975.
    • (1975) Monograf. Mat. , vol.58
    • Bessaga, C.1    Pełczyński, A.2
  • 5
    • 0000685433 scopus 로고
    • Smooth and R-analytic negligibility of subsets and extension of homeomorphisms in Banach spaces
    • T. Dobrowolski, Smooth and R-analytic negligibility of subsets and extension of homeomorphisms in Banach spaces, Studia Math. 65 (1979), 115-139.
    • (1979) Studia Math. , vol.65 , pp. 115-139
    • Dobrowolski, T.1
  • 6
    • 0000549343 scopus 로고
    • Every infinite-dimensional Hilbert space is real-analytically isomorphic with its unit sphere
    • -, Every infinite-dimensional Hilbert space is real-analytically isomorphic with its unit sphere, J. Funct. Anal. 134 (1995), 350-362.
    • (1995) J. Funct. Anal. , vol.134 , pp. 350-362
  • 8
    • 0002591542 scopus 로고
    • Cross-sections of solution funnels in Banach spaces
    • B. M. Garay, Cross-sections of solution funnels in Banach spaces, Studia Math. 97 (1990), 13-26.
    • (1990) Studia Math. , vol.97 , pp. 13-26
    • Garay, B.M.1
  • 9
    • 0003176763 scopus 로고
    • Deleting homeomorphisms and the failure of peano's existence theorem in infinite-dimensional Banach spaces
    • -, Deleting homeomorphisms and the failure of Peano's existence theorem in infinite-dimensional Banach spaces, Funkcial. Ekvac. 34 (1991), 85-93.
    • (1991) Funkcial. Ekvac. , vol.34 , pp. 85-93
  • 11
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    • A solution to Banach's hyperplane problem
    • W. T. Gowers, A solution to Banach's hyperplane problem, Bull. London Math. Soc. 26 (1994), 523-530.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 523-530
    • Gowers, W.T.1
  • 12
    • 84968501773 scopus 로고
    • The unconditional basic sequence problem
    • W. T. Gowers and B. Maurey, The unconditional basic sequence problem, J. Amer. Math. Soc. 6 (1993), 851-874.
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 851-874
    • Gowers, W.T.1    Maurey, B.2
  • 13
    • 84968468698 scopus 로고
    • Weakly compact sets
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  • 14
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    • Convex bodies and periodic homeomorphisms in Hilbert space
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  • 15
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    • On locally uniformly convex and differentiate norms in certain non-separable Banach spaces
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    • Troyanski, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.