Coercive operator
= Coercive operator
A bounded operator $T$ on a Hilbert space is coercive when $\operatorname{Re}\langle x,Tx\rangle\geq c\|x\|^2$ for some $c>0$. This estimate implies injectivity and bounds an inverse on the range by $1/c$.
= Coercive operator
A bounded operator $T$ on a Hilbert space is coercive when $\operatorname{Re}\langle x,Tx\rangle\geq c\|x\|^2$ for some $c>0$. This estimate implies injectivity and bounds an inverse on the range by $1/c$.