Upvote:1
From TripAdvisor:
If you are travelling Schengen to Schengen, or Non Schengen to Non Schengen, there will be no immigration checks. There are no security checks at the gates.
And from Schiphol Airport:
Most of the time, your baggage will be automatically sent to your connecting flight. The only exception is if youβre travelling on two separate tickets. In that case, your baggage will be delivered to baggage reclaim area.
So it sounds like if you book your entire trip on one itinerary with Jet Airways, you won't need to collect your bags in Amsterdam when you connect.