Non-Associative Normed Algebras: Volume 1, The Vidav–Palmer by Miguel Cabrera García

By Miguel Cabrera García

this primary systematic account of the fundamental idea of normed algebras, with out assuming associativity, comprises many new and unpublished effects and is bound to develop into a critical source for researchers and graduate scholars within the box. this primary quantity specializes in the non-associative generalizations of (associative) C*-algebras supplied by way of the so-called non-associative Gelfand–Naimark and Vidav–Palmer theorems, which offer upward push to substitute C*-algebras and non-commutative JB*-algebras, respectively. the connection among non-commutative JB*-algebras and JB*-triples is usually totally mentioned. the second one quantity covers Zel'manov's celebrated paintings in Jordan idea to derive category theorems for non-commutative JB*-algebras and JB*-triples, in addition to different issues. The ebook interweaves natural algebra, geometry of normed areas, and intricate research, and contains a wealth of old reviews, heritage fabric, examples and workouts. The authors additionally supply an intensive bibliography.

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