On to the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces

Jeovanny de Jesus Muentes Acevedo

Let H be a real (or complex) Hilbert space. Every nonnegative operator $L\in L(H)$ admits a unique nonnegative square root $R\in L(H)$, i.e., a nonnegative operator $R\in L(H)$…