Metrization theory and the Kadec property

S. Ferrari; L. Oncina; J. Orihuela; M. Raja

doi:10.1215/17358787-3492809

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Home > Journals > Banach J. Math. Anal. > Volume 10 > Issue 2 > Article

April 2016 Metrization theory and the Kadec property

S. Ferrari, L. Oncina, J. Orihuela, M. Raja

Banach J. Math. Anal. 10(2): 281-306 (April 2016). DOI: 10.1215/17358787-3492809

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Abstract

The uniform structure of a descriptive normed space $(X,\Vert \cdot\Vert )$ always admits a description with an $(F)$ -norm $\Vert \cdot\Vert _{1}$ such that weak and norm topologies coincide on

$\{x\in X:\Vert x\Vert _{1}=\rho\}$ for every $\rho\gt 0$ .

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S. Ferrari, L. Oncina, J. Orihuela, and M. Raja "Metrization theory and the Kadec property," Banach Journal of Mathematical Analysis 10(2), 281-306, (April 2016). https://doi.org/10.1215/17358787-3492809

Received: 7 November 2014; Accepted: 2 June 2015; Published: April 2016

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Banach J. Math. Anal.

Vol.10 • No. 2 • April 2016

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S. Ferrari, L. Oncina, J. Orihuela, M. Raja "Metrization theory and the Kadec property," Banach Journal of Mathematical Analysis, Banach J. Math. Anal. 10(2), 281-306, (April 2016)

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