Banach spaces with the Blum-Hanson Property
Fran\c{c}ois Netillard
TL;DR
This paper explores conditions under which separable Banach spaces possess the Blum-Hanson Property, building on previous work and partially answering open questions about these conditions.
Contribution
It provides a sufficient condition for the Blum-Hanson Property and addresses open questions about alternative conditions in separable Banach spaces.
Findings
Identifies a sufficient condition for the Blum-Hanson Property
Partially answers questions on alternative conditions for the property
Advances understanding of structural properties of Banach spaces
Abstract
We are interested in a sufficient condition given in an article by P. Lef\`evre, \'E. Matheron and A. Primot to obtain the Blum-Hanson Property and we then partially answer two questions asked in this same article on other possible conditions to have this property for a separable Banach space.
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Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Advanced Harmonic Analysis Research