The Banach‐Saks Properties in Orlicz‐Lorentz Spaces

Anna Kamińska and Han Ju Lee

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The Banach‐Saks index of an Orlicz‐Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska‐Orlicz indices of φ. It is also shown that an Orlicz‐Lorentz function space has weak Banach‐Saks (resp., Banach‐Saks) property if and only if it is separable (resp., reflexive).

Date: 2014
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https://doi.org/10.1155/2014/423198

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:423198

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