Isomorphisms of subspaces of vector-valued continuous functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10441196" target="_blank" >RIV/00216208:11320/21:10441196 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5l~nbkuREH" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=5l~nbkuREH</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10474-020-01107-5" target="_blank" >10.1007/s10474-020-01107-5</a>

Result language
angličtina
Original language name
Isomorphisms of subspaces of vector-valued continuous functions
Original language description
We deal with isomorphic Banach-Stone type theorems for closedsubspaces of vectorvaluedcontinuous functions. Let F= R or C. For i= 1 , 2 ,let Ei be a reflexive Banach space over F with a certain parameter λ(Ei) > 1 ,which in the real case coincides with the Schaffer constant of Ei, let Ki be alocally compact (Hausdorff) topological space and let Hi be a closed subspaceof C(Ki, Ei) such that each point of the Choquet boundary ChHiKi of Hi is aweak peak point. We show that if there exists an isomorphism T: H1RIGHTWARDS ARROW H2 with| | T| | . | | T- 1| | < min { λ(E1) , λ(E2) } , then ChH1K1 is homeomorphic to ChH2K2.Next we provide an analogous version of the weak vectorvaluedBanach-Stonetheorem for subspaces, where the target spaces do not contain an isomorphic copyof c.
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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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