Some classical theorems on normal and selfadjoint operators

Abstract

This Chapter [L.] contains proofs of several classical theorems, as e.g. the Radon-integral representation theorem of f(N) for borelian functions $f\left({\dot{z}}\right)$. The proofs differ from those, contained in the Stone’s book, and are sometimes simplier. They are framed on the base of our theory. We start with recallections. Variables will sometimes be denoted by a dot, e.g. $f\left({\dot{z}}\right)$.