Pełczyński's property (   V  ∗   ) of order  p  and its quantification | Zendy

Li Lei | Zendy; Chen Dongyang | Zendy; ChávezDomínguez Javier Alejandro | Zendy

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Pełczyński's property ( V ∗ ) of order p and its quantification

Author(s) -

Li Lei,

Chen Dongyang,

ChávezDomínguez Javier Alejandro

Publication year - 2018

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201600335

Subject(s) - property (philosophy) , mathematics , order (exchange) , epistemology , philosophy , business , finance

We introduce the concepts of Pełczyński's property ( V ) of order p and Pełczyński's property ( V ∗ ) of order p . It is proved that, for each 1 < p < ∞ , the James p ‐spaces J p enjoys Pełczyński's property ( V ∗ ) of order p and the James p ∗ ‐spaces J p ∗(where p ∗ denotes the conjugate number of p ) enjoys Pełczyński's property ( V ) of order p . We prove that bothL 1 ( μ )(μ a finite positive measure) and l 1 enjoy a quantitative version of Pełczyński's property ( V ∗ ) .

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