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[en] Some properties of the tensor algebra over Schwartz space of test functions and the positive linear functionals on this algebra are surveyed. This object was introduced by Borchers in 1962 who formulated Wightman's reconstruction theorem in an algebraic language. (Auth.)
Source
Kastler, D. (ed.); Societa Italiana di Fisica, Bologna (Italy); p. 253-262; ISBN 0720404495; 
; 1976; North-Holland; Amsterdam, Netherlands; Course on C*-algebras and their applications to statistical mechanics and quantum field theory; Varenna, Italy; 23 Jul 1973
; 1976; North-Holland; Amsterdam, Netherlands; Course on C*-algebras and their applications to statistical mechanics and quantum field theory; Varenna, Italy; 23 Jul 1973