Finally, I only used the command synclvodm.
It worked:
root # synclvodm -v datavg
synclvodm: Logical volume logva01 updated
synclvodm: Logical volume logsa01 updated
synclvodm: Logical volume data02 updated
synclvodm: Logical volume tm01lv updated
synclvodm: Logical volume pu01lv updated
synclvodm: Logical volume data01lv updated
0516-530 synclvodm: lvnode01 Logical volume name changed to fslv00
synclvodm: Logical volume fslv00 updated
Subsequently, I have deleted the logical volume
Thank you for your advice.