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This is a usual question when you are joining to a new company as a Project Manager or Manager to any department, and you are getting to understand that the people you command are working for significant amount of years and even though I am their head and they still feel I am new to the company being their head of the department.
The mindset you require is that of an experienced and capable member of the team.
Old teams are wary of a new boss, and rightly so. Always think of things from the point of view of the team. What do they need? Want?
It is very important that you show a willingness to learn, and then learn. They know what they are doing and you can't help them until you know too.