Gelfand spectral radius theorem
Note: denotes the spectral radius of .
It is worth pointing out that the self-consistency condition which was imposed on the matrix norm is part of the definition of a Banach algebra. A common case of the infinite-dimensional generalization occurs when is the algebra of bounded operators on a Hilbert space — the operators may be regarded as an infinite-dimensional generalization of the square matrices.
|Title||Gelfand spectral radius theorem|
|Date of creation||2013-03-22 13:39:19|
|Last modified on||2013-03-22 13:39:19|
|Owner||Andrea Ambrosio (7332)|
|Last modified by||Andrea Ambrosio (7332)|
|Author||Andrea Ambrosio (7332)|
|Synonym||spectral radius formula|