Hereditary order convexity in L(X, Y)

Hadjisavvas, N; Kravvaritis, D; Pantelidis, G; Polyrakis, I

dc.contributor.author	Hadjisavvas, N	en
dc.contributor.author	Kravvaritis, D	en
dc.contributor.author	Pantelidis, G	en
dc.contributor.author	Polyrakis, I	en
dc.date.accessioned	2014-03-01T01:07:29Z
dc.date.available	2014-03-01T01:07:29Z
dc.date.issued	1989	en
dc.identifier.issn	0009725X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10021
dc.title	Hereditary order convexity in L(X, Y)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02844855	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02844855	en
heal.publicationDate	1989	en
heal.abstract	Let X be a topological vector space, Y an ordered topological vector space and L(X, Y) the space of all linear and continuous mappings from X into Y. The hereditary order-convex cover [K]h of a subset K of L(X, Y) is defined by [K]h ={A∈L(X, Y):Ax∈[Kx] for all x∈X}, where [Kx] is the order-convex of Kx. In this paper we study the hereditary order-convex cover of a subset of L(X, Y). We show how this cover can be constructed in specific cases and investigate its structural and topological properties. Our results extend to the space L(X, Y) some of the known properties of the convex hull of subsets of X*. © 1989 Springer.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Rendiconti del Circolo Matematico di Palermo	en
dc.identifier.doi	10.1007/BF02844855	en
dc.identifier.volume	38	en
dc.identifier.issue	1	en
dc.identifier.spage	130	en
dc.identifier.epage	139	en