No CrossRef data available.
Article contents
The Kottman Constant for α-HÖlder Maps
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We investigate the role of the Kottman constant of a Banach space $X$ in the extension of $\alpha $-Hölder continuous maps for every $\alpha \in (0,1]$.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2017
References
[1]
Benyamini, Y. and J. Lindenstrauss, Geometric nonlinear functional analysis. American Mathematical Society Colloquium Publications, 48. American Mathematical Society, Providence, RI, 2000. Google Scholar
[2]
Elton, J. and E. Odell, The unit ball of every infinite-dimensional normed linear space contains a (1 + e)-separated sequence.
Colloq. Math.
44(1981), 105–109. Google Scholar
[3]
James, R. C., Uniformly non square Banach spaces.
Ann. of Math.
80(1964), 542–550. http://dx.doi.org/1 0.2307/1 970663
Google Scholar
[4]
Kalton, N. J., Spaces ofLipschitz and Holder functions and their applications.
Collect. Math.
55(2004), 171–217.Google Scholar
[5]
Kalton, N. J., Extending lipschitz maps into C(K)-spaces,
Israel J. Math.
162(2007), 275–315. http://dx.doi.org/1 0.1007/s11 856-007-0099-2
Google Scholar
[6]
Kottman, C. A., Packing and reflexivity in Banach spaces,
Tran. Amer. Math. Soc.
150(1970), 565–576. http://dx.doi.org/10.1090/S0002-9947-1970-0265918-7
Google Scholar
[7]
Lancien, G. and B. Randrianantoanina, On the extension of Holder maps with values in spaces of continuous functions.
Israel J. Math.
147(2005), 75–92. http://dx.doi.org/10.1007/BF02 785360
Google Scholar
[8]
Naor, A., A phase transition phenomenon between the isometric and isomorphic extension problems for Holder functions between Lp spaces.
Mathematika
48(2001), 253–271. http://dx.doi.org/! 0.1112/SOO2 5579300014480
Google Scholar
You have
Access