Plank type problems for polynomials on Banach spaces

Kavadjiklis, A; Kim, SG

dc.contributor.author	Kavadjiklis, A	en
dc.contributor.author	Kim, SG	en
dc.date.accessioned	2014-03-01T02:11:59Z
dc.date.available	2014-03-01T02:11:59Z
dc.date.issued	2012	en
dc.identifier.issn	0022247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/29984
dc.subject	Plank problems	en
dc.subject	Polynomials on Banach spaces	en
dc.subject	Upper and lower bounds	en
dc.title	Plank type problems for polynomials on Banach spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jmaa.2012.06.029	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jmaa.2012.06.029	en
heal.publicationDate	2012	en
heal.abstract	In this work we prove plank type problems for polynomials on Banach spaces. We give estimates in the case of complex Banach spaces and in particular in the case of complex Hilbert spaces. Moreover, we get optimal results in the case of 2-homogeneous polynomials on real Hilbert spaces. We have also derived estimates in the case of the classical Lp(μ) spaces. © 2012 Elsevier Ltd.	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/j.jmaa.2012.06.029	en
dc.identifier.volume	396	en
dc.identifier.issue	2	en
dc.identifier.spage	528	en
dc.identifier.epage	535	en