symmetric monoidal (∞,1)-category of spectra
A normed algebra $A$ over a field $k$ of real or complex numbers is a normed vector space equipped with an associative algebra structure, such that the algebra multiplication is continuous with respect to the norm, i.e. such that there is a positive real number $C\gt 0$ such that
for all $a,b\in A$. One can rescale the norm to another norm to get $C = 1$ (absolute value). A normed algebra whose underlying normed space is complete is called a Banach algebra.
A normed algebra with $C = 1$ is equivalently a normed division algebra. See there for more.
Last revised on December 2, 2018 at 15:01:54. See the history of this page for a list of all contributions to it.