A hereditarily indecomposable L∞-space that solves the scalar-plus-compact problem

Argyros, SA; Haydon, RG

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Haydon, RG	en
dc.date.accessioned	2014-03-01T01:34:53Z
dc.date.available	2014-03-01T01:34:53Z
dc.date.issued	2011	en
dc.identifier.issn	00015962	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20920
dc.subject	banach space	en
dc.subject	Bounded Linear Operator	en
dc.subject	Dual Space	en
dc.title	A hereditarily indecomposable L∞-space that solves the scalar-plus-compact problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11511-011-0058-y	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11511-011-0058-y	en
heal.publicationDate	2011	en
heal.abstract	We construct a hereditarily indecomposable Banach space with dual space isomorphic to ℓ1. Every bounded linear operator on this space is expressible as λI + K, with λ a scalar and K compact. © 2011 Institut Mittag-Leffler.	en
heal.journalName	Acta Mathematica	en
dc.identifier.doi	10.1007/s11511-011-0058-y	en
dc.identifier.volume	206	en
dc.identifier.issue	1	en
dc.identifier.spage	1	en
dc.identifier.epage	54	en