Kurzweil and McShane product integration in Banach algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10315591" target="_blank" >RIV/00216208:11320/15:10315591 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2014.11.037" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2014.11.037</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2014.11.037" target="_blank" >10.1016/j.jmaa.2014.11.037</a>
Alternative languages
Result language
angličtina
Original language name
Kurzweil and McShane product integration in Banach algebras
Original language description
We study product integrability of functions with values in unital Banach algebras. The product integrals are understood in the sense of Kurzweil, McShane, or Riemann. In particular, we introduce new concepts of strong Kurzweil and McShane product integrals, and investigate their properties. We also provide necessary and sufficient conditions for product integrability of functions with countably many discontinuities.
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
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
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Volume of the periodical
424
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
26
Pages from-to
748-773
UT code for WoS article
000348488700045
EID of the result in the Scopus database
2-s2.0-84920580960