Hi Penny, welcome to the Community!
There's no ownership of repositories in Bitbucket Server, unless you're referring to a personal repository. Bitbucket admins have access to all projects and repos.
If the repository was created on a public project it is not owned by anyone, but if it is a personal repository then it is. However, there's no way to change ownership, you can only move it to another project.
For more info, you can read Creating personal repositories.
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