The world has a hall of fame; God has a hall of faith. In Hebrews chapter 11 various Old Testament saints are named and tribute given to them. God remembers people who have faith, people who believe Him.
In chapter 11 and verse 13 five things characterize people of faith:
These all died in faith, not having received the promises, but having seen them afar off and were persuaded of them, and embraced them, and confessed that they were strangers and pilgrims on the earth.
This verse of Scipture is not speaking of merely believing something in the mind of dying while having faith. This is a reference to the whole body of truth as given in Jude 1:3:
"Beloved, when I gave all diligence to write unto you of the common salvation, it was needful for me to write unto you, and exhort you that ye should earnestly contend for the faith which was once delivered unto the saints." Jude 1:3
The verse in Hebrews is speaking of "the faith," that body of glorious truth into which God places a soul when it is saved. "The faith" is a region where the redeemed walk (live) by faith.