user security inheritance in SQL Server 2016
Does SQL Server 2016 allow inheritance of security, so you don't have
  to build those users in each database, and apply the same security in
  each? Some of these schemas will just have views in which the
  definitions that read schemas and tables in other databases.


What you are asking about is Ownership Chains.

In the simple case when we are within one database, when you give permissions on a view and the view is owned by the same principal that owns all the underlying tables, you just do nothing: a user will access the view without any permission on the underying tables.

In your case there are more than one database, and we are talking about 
Cross-Database Ownership Chaining

You should read this paragraph in the article above to understand Potential Threats in case youenable crossdb ownership chains.

You can read more on it here: Enabling Cross-Database Access in SQL Server.

In brief, to make it work, in addition to the requirement to have the same owner you should enable both database to db chainig: ALTER DATABASE ... SET DB_CHAINING ON.

In this case you still can grant permissions only on your views without granting them on other database's tables, but you still should map your users in all databases of interest. Otherwise when accessing tables from other databases through view ownership chain breaks when you are leaving the database and you should give the permissions to all the underlying tables.