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B anach Space Model Theory II. Isomorphic Equivalence
Author(s) -
Heinrich S.,
Henson C. W.
Publication year - 1986
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.19861250123
Subject(s) - mathematics , equivalence (formal languages) , space (punctuation) , pure mathematics , discrete mathematics , algebra over a field , computer science , operating system
Necessary and sufficient conditions are given for two B anach spaces to have linearly isomorphic ultrapowers. This is done firstly by carrying over the elementary equivalence of model theory to B anach spaces, and secondly by a game‐theoretic approach basing on E hren ‐ feucht ‐F raissé games from logic.