# Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces

Studia Mathematica (1997)

- Volume: 125, Issue: 2, page 179-186
- ISSN: 0039-3223

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topAzagra, Daniel. "Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces." Studia Mathematica 125.2 (1997): 179-186. <http://eudml.org/doc/216431>.

@article{Azagra1997,

abstract = {},

author = {Azagra, Daniel},

journal = {Studia Mathematica},

keywords = {$C^p$ smooth norm; spheres and hyperplanes in Banach spaces; infinite-dimensional Banach space; unit sphere; hyperplane; diffeomorphism},

language = {eng},

number = {2},

pages = {179-186},

title = {Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces},

url = {http://eudml.org/doc/216431},

volume = {125},

year = {1997},

}

TY - JOUR

AU - Azagra, Daniel

TI - Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces

JO - Studia Mathematica

PY - 1997

VL - 125

IS - 2

SP - 179

EP - 186

AB -

LA - eng

KW - $C^p$ smooth norm; spheres and hyperplanes in Banach spaces; infinite-dimensional Banach space; unit sphere; hyperplane; diffeomorphism

UR - http://eudml.org/doc/216431

ER -

## References

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- [11] W. T. Gowers, A solution to Banach's hyperplane problem, Bull. London Math. Soc. 26 (1994), 523-530. Zbl0838.46011
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- [14] K V. L. Klee, Convex bodies and periodic homeomorphisms in Hilbert space, ibid. 74 (1953), 10-43. Zbl0050.33202
- [15] S. Troyanski, On locally uniformly convex and differentiable norms in certain non-separable Banach spaces, Studia Math. 37 (1971), 173-180. Zbl0214.12701

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