On Summability, Multipliability, and Integrability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10333140" target="_blank" >RIV/00216208:11320/16:10333140 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-981-10-0913-6" target="_blank" >http://dx.doi.org/10.1007/978-981-10-0913-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-981-10-0913-6" target="_blank" >10.1007/978-981-10-0913-6</a>

Result language
angličtina
Original language name
On Summability, Multipliability, and Integrability
Original language description
We define and study summability and multipliability of families indexed by well-ordered sets of real numbers. These concepts generalize the classical notions of convergence of infinite series and products. The members of the families are assumed to be elements of general Banach spaces or Banach algebras, but most of our results are new even in the real-valued case. Our studies are also motivated by problems in integration theory of functions of one variable. In particular, we describe the relation between integrability and product integrability on one side, and summability and multipliability on the other side. Applications in the theory of differential equations with impulses and distributional differential equations are presented, and concrete examples are introduced to illustrate the derived theoretical results.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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