Separable reduction of local metric regularity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00495242" target="_blank" >RIV/67985840:_____/18:00495242 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1090/proc/14071" target="_blank" >http://dx.doi.org/10.1090/proc/14071</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/proc/14071" target="_blank" >10.1090/proc/14071</a>

Result language
angličtina
Original language name
Separable reduction of local metric regularity
Original language description
We prove that the property of a set-valued mapping $ F:X rightrightarrows Y$ to be locally metrically regular (and consequently, the properties of the mapping to be linearly open or pseudo-Lipschitz) is separably reducible by rich families of separable subspaces of $ Xtimes Y$. In fact, we prove that, moreover, this extends to computation of the functor $ {rm {reg}}, F$ that associates with $ F$ the rates of local metric regularity of $ F$ near points of its graph.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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