The Banach-Saks Properties in Orlicz-Lorentz Spaces

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초록

The Banach-Saks index of an Orlicz-Lorentz space Lambda(phi,omega) (I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of phi. 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).

키워드

CALDERON-LOZANOVSKII SPACES; SEQUENCE-SPACES; GEOMETRIC-PROPERTIES; MUSIELAK-ORLICZ; CONVEXITY; CONCAVITY; INDEXES; LP
제목
The Banach-Saks Properties in Orlicz-Lorentz Spaces
저자
Kaminska, Anna; Lee, Han Ju
DOI
10.1155/2014/423198
발행일
2014
유형
Article
저널명
Abstract and Applied Analysis
권
2014