Weaving frames for operators in Hilbert spaces

In this study, we show that the property of weaving frames in Hilbert spaces preserves under a bounded bijective operator. Also, we prove that if $Uin B(H)$ is close enough to the identity operator on a Hilbert space $H$, then the frames ${varphi_{i}}_{iin I}$ and ${Uvarphi_{i}}_{iin I}$ are woven.