。
My mother's death left a great void in my life.
Literal
Mother [gen-の] death [topic-は] my life [in-に] big emptiness [obj-を] left.
A literary register sentence — notice the written feel of 生涯 ('lifetime, one's whole life'), the abstract noun 空白 ('blank space, void') used metaphorically rather than for a physical blank, and the verb 残す ('leave behind'). に here marks the location of the leaving. The whole frame — 'X's death left a Y in my Z' — is a set literary metaphor that transfers directly into English.