Fundamental Concepts and Propositions in the Theory of Normed Algebras

M. A. Naimark
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M. A. Naimark: Academy of Sciences, Steklov Institute of Mathematics

Chapter Chapter II in Normed Algebras, 1972, pp 152-190 from Springer

Abstract: Abstract We shall say that R is a linear algebra if: 1) R is a linear space; 2) 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.

Keywords: Banach Algebra; Left Ideal; Division Algebra; Continuous Homomorphism; Topological Algebra (search for similar items in EconPapers)
Date: 1972
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DOI: 10.1007/978-94-009-9260-3_2

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