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provide the access to the resource mailbox .
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Yes, to provide access to resources mailbox
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Why adatum\userA since by default it is a disable account
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provided resource forest behaviour.
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<div class="content wysiwyg-content">
We have a resources exchange organization. User account is on main domain; contoso while exchange is on resources domain;adatum.<br />
<br />
There is a trust between contoso and adatum. When we create mailbox, it will create a link mailbox as we know.<br />
<br />
The user have to access a group mailbox. I would like to know what permission on group mailbox. <br />
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The full access on group mailbox shall look like:<br />
<br />
Adatum\UserA<br />
<br />
Or<br />
<br />
Contoso\UserA
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We have a resources exchange organization. User account is on main domain; contoso while exchange is on resources domain;adatum.

There is a trust between contoso and adatum. When we create mailbox, it will create a link mailbox as we know.

The user have to access a group mailbox. I would like to know what permission on group mailbox. 

The full access on group mailbox shall look like:

Adatum\UserA

Or

Contoso\UserA

Resources exchange, shared mailbox access

Exchange is the server side of a collaborative application product that is part of the Microsoft Server infrastructure. Exchange's major features include email, calendaring, contacts and tasks, support for mobile and web-based access to information, and support for data storage.