Positive operator (source code)

= Positive operator
{title2=$T\geq0$}
{wiki=Positive_operator_(Hilbert_space)}

A bounded <Hermitian operator> $T$ on a <Hilbert space> is positive when $\langle Tx,x\rangle\geq0$ for every $x$. Its <spectrum> is contained in $[0,\infty)$.

= Positive semidefinite operator
{synonym}