Adjoint and types of operator

Let $H, K$ are complex Hilbert spaces. Let $A: H\rightarrow K$ be a bounded linear operator. Fix $k\in K$, define $L_k: H\rightarrow \mathbb{C}$ as $L_k(h)=\langle Ah, k\rangle$ for all $h\in H$. Note that

self adjoint, normal, unitary, isometry, partial isometry