Properties of absolute-*-k-paranormal operators and contractions for *-A(k) operators
Properties of absolute-*-k-paranormal operators and contractions for *-A(k) operators
First, we see if $T$ is absolute-$*$-$k$-paranormal for $k\geq 1$, then $T$ is a normaloid operator. We also see some properties of absolute-$*$-$k$-paranormal operator and $*$-$\mathcal{A}(k)$ operator. Then, we will prove the spectrum continuity of the class $*$-$\mathcal{A}(k)$ operator for $k>0$. Moreover, it is proved that if $T$ is a …