Series and power series on universally complete complex vector lattices

dc.contributor.author	Roelands, M.
dc.contributor.author	Schwanke, C.
dc.contributor.researchID	27749266 - Schwanke, Christopher Michael
dc.date.accessioned	2019-02-01T08:40:57Z
dc.date.available	2019-02-01T08:40:57Z
dc.date.issued	2019
dc.description.abstract	In this paper we prove an nth root test for series as well as a Cauchy-Hadamard type formula and Abel's' theorem for power series on universally complete Archimedean complex vector lattices. These results are aimed at developing an alternative approach to the classical theory of complex series and power series using the notion of order convergence	en_US
dc.identifier.citation	Roelands, M. & Schwanke, C. 2019. Series and power series on universally complete complex vector lattices. Journal of mathematical analysis and applications, 473(2):680-694. [https://doi.org/10.1016/j.jmaa.2018.12.041]	en_US
dc.identifier.issn	0022-247X
dc.identifier.uri	http://hdl.handle.net/10394/31780
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0022247X18310801
dc.identifier.uri	https://doi.org/10.1016/j.jmaa.2018.12.041
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Series	en_US
dc.subject	Power series	en_US
dc.subject	Complex vector lattice	en_US
dc.subject	Order convergence	en_US
dc.subject	Complex analysis	en_US
dc.title	Series and power series on universally complete complex vector lattices	en_US
dc.type	Article	en_US

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