Strictly singular non-compact diagonal operators on HI spaces

dc.creatorArgyros, Spiros A.
dc.creatorDeliyanni, Irene
dc.creatorTolias, Andreas G.
dc.date2008-07-15
dc.date.accessioned2026-07-07T09:50:29Z
dc.date.available2026-07-07T09:50:29Z
dc.descriptionWe construct a Hereditarily Indecomposable Banach space $\eqs_d$ with a Schauder basis \seq{e}{n} on which there exist strictly singular non-compact diagonal operators. Moreover, the space $\mc{L}_{\diag}(\eqs_d)$ of diagonal operators with respect to the basis \seq{e}{n} contains an isomorphic copy of $\ell_{\infty}(\N)$.
dc.identifierhttps://arxiv.org/abs/0807.2388
dc.identifierhttp://arxiv.org/abs/0807.2388
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164959
dc.subjectFunctional Analysis
dc.subject46B28, 46B20, 46B03
dc.titleStrictly singular non-compact diagonal operators on HI spaces
dc.typetext

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