Normed algebra

In today's world, Normed algebra has come to occupy a fundamental place in various spheres of daily life. Whether in the workplace, academic, cultural or social sphere, Normed algebra has become a topic of relevance and interest to a wide range of people. Its impact and relevance have aroused the interest of researchers, professionals and the general public, who seek to understand its importance and repercussions. In this article, we will explore in depth the role that Normed algebra plays in today's society, analyzing its evolution, challenges and possible solutions. Additionally, we will examine how Normed algebra has shaped and will continue to shape the current landscape, as well as the benefits and challenges that come with its presence in different contexts.

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In mathematics, a normed algebra A is an algebra over a field which has a sub-multiplicative norm:

${\displaystyle \forall x,y\in A\qquad \|xy\|\leq \|x\|\|y\|.}$

Some authors require it to have a multiplicative identity 1_A such that ║1_A║ = 1.

See also

• Banach algebra
• Composition algebra
• Division algebra
• Gelfand–Mazur theorem
• Hurwitz's theorem (composition algebras)

External reading

• "Normed Algebra". Encyclopaedia of Mathematics. Retrieved 20 May 2018.

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