The McShane and the Pettis Integral of Banach Space-Valued Functions Defined On R.sup.m.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F02%3A05030107" target="_blank" >RIV/67985840:_____/02:05030107 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
The McShane and the Pettis Integral of Banach Space-Valued Functions Defined On R.sup.m.
Original language description
In this paper, we define and study the McShane integral of functions mapping a compact interval I.sub.o in R.sup.m into a Banach space X. We compare this integral with the Pettis integral and prove, in particular, that the two integrals are equivalent ifX is reflexive and the unit ball of the dual X* satisfies an additional condition (P). This gives additional information on an ........
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GA201%2F01%2F1199" target="_blank" >GA201/01/1199: Summation integral and its application in equation theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Illinois Journal of Mathematics
ISSN
0019-2082
e-ISSN
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Volume of the periodical
46
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
1125-1144
UT code for WoS article
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EID of the result in the Scopus database
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