Jamieson, Fausset and Brown on Isaiah 53:11

11. Jehovah is still speaking.

see of the travail--He shall see such blessed fruits resulting from His sufferings as amply to repay Him for them (Is 49:4, 5; 50:5, 9). The "satisfaction," in seeing the full fruit of His travail of soul in the conversion of Israel and the world, is to be realized in the last days (Is 2:2-4).

his knowledge--rather, the knowledge (experimentally) of Him (Joh 17:3; Php 3:10).

my ... servant--Messiah (Is 42:1; 52:13).

righteous--the ground on which He justifies others, His own righteousness (1Jo 2:1).

justify--treat as if righteous; forensically; on the ground of His meritorious suffering, not their righteousness.

bear ... iniquities--(Is 53:4, 5), as the sinner's substitute.