On the coincidence of Pettis and McShane integrals and Hilbert generated spaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00351199" target="_blank" >RIV/67985840:_____/10:00351199 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the coincidence of Pettis and McShane integrals and Hilbert generated spaces

Popis výsledku v původním jazyce

A Banach space X is called weakly compactly generated if it contains a weakly compact set which is linearly dense in it. X is called Hilbert generated provided that there are a Hilbert space Y and a linear bounded mapping from Y into X whose range is dense in X. A compact space is called Eberlein (uniform Eberlein) if it can be continuously injected into a Banach space (into a Hilbert space) provided with the weak topology. We recall well known facts that a compact space K is Eberlein (uniform Eberlein)if and only if the corresponding Banach space C(K) is weakly compactly generated (Hilbert generated).

Název v anglickém jazyce

On the coincidence of Pettis and McShane integrals and Hilbert generated spaces

Popis výsledku anglicky

A Banach space X is called weakly compactly generated if it contains a weakly compact set which is linearly dense in it. X is called Hilbert generated provided that there are a Hilbert space Y and a linear bounded mapping from Y into X whose range is dense in X. A compact space is called Eberlein (uniform Eberlein) if it can be continuously injected into a Banach space (into a Hilbert space) provided with the weak topology. We recall well known facts that a compact space K is Eberlein (uniform Eberlein)if and only if the corresponding Banach space C(K) is weakly compactly generated (Hilbert generated).

Druh

O - Ostatní výsledky

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/IAA100190901" target="_blank" >IAA100190901: Topologické a geometrické struktury v Banachovych prostorech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů