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Book Summary
About the Book: Introduction to Real Analysis
A noncommutative algebra is an associative algebra in which the multiplication
is not commutative, that is, for which xy does not always equal yx; or more
generally an algebraic structure in which one of the principal binary operations
is not commutative; one also allows additional structures, e.g. topology or
norm, to be possibly carried by the noncommutative algebra of functions. The
main motivation is to extend the commutative duality between spaces and
functions to the noncommutative setting. In mathematics, spaces, which are
geometric in nature, can be related to numerical functions on them. In general,
such functions will form a commutative
About the Book: Introduction to Real Analysis
A noncommutative algebra is an associative algebra in which the multiplication
is not commutative, that is, for which xy does not always equal yx; or more
generally an algebraic structure in which one of the principal binary operations
is not commutative; one also allows additional structures, e.g. topology or
norm, to be possibly carried by the noncommutative algebra of functions. The
main motivation is to extend the commutative duality between spaces and
functions to the noncommutative setting. In mathematics, spaces, which are
geometric in nature, can be related to numerical functions on them. In general,
such functions will form a commutative