Open Access
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
Abstract

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

{xX:x1=ρ} for every ρ>0.

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Copyright © 2016 Tusi Mathematical Research Group
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
Vol.10 • No. 2 • April 2016
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