Commit 2022-02-23 17:43 f04ad9a1
View on Github →feat(analysis/normed_space/star/spectrum): prove the spectral radius of a selfadjoint element in a C*-algebra is its norm. (#12211) This establishes that the spectral radius of a selfadjoint element in a C*-algebra is its (nn)norm using the Gelfand formula for the spectral radius. The same theorem for normal elements can be proven using this once normal elements are defined in mathlib.