Uniformly \(\mu\)-Continuous Topologies on Orlicz-Bochner Spaces

• Autorzy: Krzysztof Feledziak
• Języki publikacji: EN

Abstrakty

EN

We examine the topological properties of Orlicz-Bochner spaces \(L^\varphi(X)\) (over a σ-finite measure space \((\Omega, \Sigma, \mu))\), where \(\varphi\) is an Orlicz function (not necessarily convex) and \(X\) is a real Banach space. We continue the study of some class of locally convex topologies on \(L^\varphi (X)\), called uniformly \(\mu\)-continuous topologies. In particular, the generalized mixed topology \(\mathcal{T}_I^\varphi (X)\) on \(L^\varphi (X)\) (in the sense of Turpin) is considered.

Słowa kluczowe

EN

Orlicz spaces; Orlicz-Bochner spaces; locally solid topologies; generalized mixed topologies; uniformly \(\varphi\)-summable sets; uniformly \(\varphi\)-integrable sets

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2006
• Tom: 46
• Numer: 1

Daty

wydano

2006

online

2017-12-19

Twórcy

autor

Krzysztof Feledziak

Identyfikatory

DOI

10.14708/cm.v46i1.5210