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Books > Science & Mathematics > Mathematics > Algebra
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Non-Associative Normed Algebras (Hardcover)
Loot Price: R4,921
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Non-Associative Normed Algebras (Hardcover)
Series: Encyclopedia of Mathematics and its Applications, Volume 2
Expected to ship within 10 - 15 working days
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This first systematic account of the basic theory of normed
algebras, without assuming associativity, includes many new and
unpublished results and is sure to become a central resource for
researchers and graduate students in the field. This second volume
revisits JB*-triples, covers Zel'manov's celebrated work in Jordan
theory, proves the unit-free variant of the Vidav-Palmer theorem,
and develops the representation theory of alternative C*-algebras
and non-commutative JB*-algebras. This completes the work begun in
the first volume, which introduced these algebras and discussed the
so-called non-associative Gelfand-Naimark and Vidav-Palmer
theorems. This book interweaves pure algebra, geometry of normed
spaces, and infinite-dimensional complex analysis. Novel proofs are
presented in complete detail at a level accessible to graduate
students. The book contains a wealth of historical comments,
background material, examples, and an extensive bibliography.
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