Abstract
An element e of an algebra A is called a unity element if e ≠ 0 and ea = ae = a for all a ∈ A. Such an element is obviously unique and is also referred to as the unity or the identity or the unit of A. An algebra A is unital provided that A has unity.
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© 1996 Springer Science+Business Media Dordrecht
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Kutateladze, S.S. (1996). Banach Algebras. In: Fundamentals of Functional Analysis. Kluwer Texts in the Mathematical Sciences, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8755-6_11
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DOI: https://doi.org/10.1007/978-94-015-8755-6_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4661-1
Online ISBN: 978-94-015-8755-6
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