Fundamental Concepts and Propositions in the Theory of Normed Algebras
R is a linear space;
an operation of multiplication (which in general is not commutative) is defined in R satisfying the following conditions: a) α(xy) = (αx)y = x(αy), b) (xy)z = x(yz), c) (x+y)z = xz+yz, d) x(y+z) = xy + xz for arbitrary x, y, z ∈ R and any number α.
KeywordsBanach Algebra Left Ideal Division Algebra Continuous Homomorphism Topological Algebra
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