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A decomposition theorem in tensor products of Archimedean vector lattices
Author(s) -
Fremlin D. H.,
Talagrand M.
Publication year - 1979
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300009840
Subject(s) - mathematics , tensor product , decomposition , pure mathematics , tensor (intrinsic definition) , tensor product of hilbert spaces , tensor product of algebras , decomposition theorem , tensor field , product (mathematics) , tensor contraction , algebra over a field , mathematical analysis , geometry , exact solutions in general relativity , ecology , biology
A natural and welcomed decomposition theorem for elements in the positive cone of the tensor product of Archimedean vector lattices leads to substantial simplifications in the theory of tensor products of Archimedean vector lattices.