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Concrete representation of injective Banach lattices
Author(s) -
Kusraev Anatoly G.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6697
Subject(s) - injective function , mathematics , representation (politics) , banach space , pure mathematics , banach manifold , eberlein–šmulian theorem , lp space , political science , politics , law
The paper aims to survey the recent progress towards functional representation of injective Banach lattices as well as to present some new results and open questions. A concrete functional description of injective Banach lattices in the spirit of Kakutani–Maharam representation for A L ‐spaces is given.