symmetric monoidal (∞,1)-category of spectra
A normed algebra over a field 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 such that
for all . One can rescale the norm to another norm to get (absolute value). A normed algebra whose underlying normed space is complete is called a Banach algebra.
A normed algebra with 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.