Descriptive properties of elements of biduals of Banach spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10127326" target="_blank" >RIV/00216208:11320/12:10127326 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4064/sm209-1-6" target="_blank" >http://dx.doi.org/10.4064/sm209-1-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/sm209-1-6" target="_blank" >10.4064/sm209-1-6</a>

Result language
angličtina
Original language name
Descriptive properties of elements of biduals of Banach spaces
Original language description
If E is a Banach space, any element x** in its bidual E** is an affine function on the dual unit ball B-E* that might possess a variety of descriptive properties with respect to the weak* topology. We prove several results showing that descriptive properties of x** are quite often determined by the behaviour of x** on the set of extreme points of B-E*, generalizing thus results of J. Saint Raymond and F. Jellett. We also prove a result on the relation between Baire classes and intrinsic Baire classes ofL-1-preduals which were introduced by S. A. Argyros, G. Godefroy and H. P. Rosenthal (2003). Also, several examples witnessing natural limits of our positive results are presented.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F07%2F0388" target="_blank" >GA201/07/0388: Modern methods in potential theory and function spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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