I ‐convexity and  Q ‐convexity in Orlicz–Bochner function spaces endowed with the Orlicz norm | Zendy

Gong Wanzhong | Zendy; Dong Xiaoli | Zendy; Wang Kangji | Zendy

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I ‐convexity and Q ‐convexity in Orlicz–Bochner function spaces endowed with the Orlicz norm

Author(s) -

Gong Wanzhong,

Dong Xiaoli,

Wang Kangji

Publication year - 2019

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.201800268

Subject(s) - convexity , mathematics , norm (philosophy) , banach space , pure mathematics , regular polygon , convex function , uniformly convex space , function (biology) , lp space , mathematical analysis , eberlein–šmulian theorem , geometry , evolutionary biology , political science , financial economics , law , economics , biology

Some characterizations of I ‐convexity and Q ‐convexity of Banach space are obtained. Moreover, the criteria is shown for Orlicz–Bochner function spacesL M ( μ , X )endowed with the Orlicz norm being I ‐convex as well as being Q ‐convex.

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