On a class of linear operators on lp and its Schur multipliers
2016 (English)In: Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science, ISSN 1454-9069, Vol. 17, no 2, 101–108- p.Article in journal (Refereed) Published
In this paper we consider the spaces , , of infinite matrices defined by the norm . We consider the Schur product of matrices and prove that is not closed under this product. Moreover, we prove that linear and bounded operators on are Schur multipliers on , a result which is not obvious, since is not a Schur algebra. Most of the results are sharp in the sense that they are given via necessary and sufficient conditions. ( ) p w B 1p A 1 ( ) =1 =1 1 0 := sup p p p jk k B j k w x p xk A a x ( ) p w B p ( ) p w B ( ) p w B
Place, publisher, year, edition, pages
2016. Vol. 17, no 2, 101–108- p.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:ltu:diva-15153Local ID: ea2c84cb-96bb-4cd4-b7ca-3ec1f8d91819OAI: oai:DiVA.org:ltu-15153DiVA: diva2:988126
Validerad; 2016; Nivå 2; 20160510 (andbra)2016-09-292016-09-29Bibliographically approved