norm and spectral radius in -algebras
Let be a -algebra (http://planetmath.org/CAlgebra). Let denote the spectral radius of the element .
Theorem - For every we have that .
This result shows that the norm in a -algebra has a purely nature. Moreover, the norm in a -algebra is unique (in the sense that there is no other norm for which the algebra is a -algebra).
|Title||norm and spectral radius in -algebras|
|Date of creation||2013-03-22 17:38:41|
|Last modified on||2013-03-22 17:38:41|
|Last modified by||asteroid (17536)|