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New limiting real interpolation methods and their connection with the methods associated to the unit square
Author(s) -
Cobos Fernando,
FernándezCabrera Luz M.,
Silvestre Pilar
Publication year - 2013
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.201100076
Subject(s) - mathematics , interpolation (computer graphics) , limiting , connection (principal bundle) , limit (mathematics) , square (algebra) , unit square , unit (ring theory) , realization (probability) , banach space , space (punctuation) , pure mathematics , interpolation space , mathematical analysis , geometry , statistics , computer science , functional analysis , mathematics education , animation , biochemistry , chemistry , computer graphics (images) , engineering , operating system , mechanical engineering , gene
We study limit K ‐spaces for general Banach couples, not necessarily ordered. They correspond to the extreme choice θ = 0, 1 in the realization of the real method as a K ‐space. We also show the connection of these limit spaces with interpolation methods defined by the unit square.