Quantifying properties (K) and (µs)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00570593" target="_blank" >RIV/67985840:_____/23:00570593 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/mana.202100198" target="_blank" >https://doi.org/10.1002/mana.202100198</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.202100198" target="_blank" >10.1002/mana.202100198</a>

Result language
angličtina
Original language name
Quantifying properties (K) and (µs)
Original language description
A Banach space X has property (K), whenever every weak* null sequence in the dual space admits a convex block subsequence (Formula presented.) so that (Formula presented.) as (Formula presented.) for every weakly null sequence (Formula presented.) in X, X has property (Formula presented.) if every weak* null sequence in (Formula presented.) admits a subsequence so that all of its subsequences are Cesàro convergent to 0 with respect to the Mackey topology. Both property (Formula presented.) and reflexivity (or even the Grothendieck property) imply property (K). In this paper, we propose natural ways for quantifying the aforementioned properties in the spirit of recent results concerning other familiar properties of Banach spaces.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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