Create your own renderer. Extend DefaultTableCellRenderer and add your own code to display whatever you want. It can be a custom icon or if the βcheckmarkβ is a printed symbol, than you can simply set the visualizer text to the corresponding symbol.
Read the JTable API and you will find a link to the Swing tutorial on How to Use Tables, which will provide more information about visualizers.
If you need more help, post an SSCCE , showing the problems encountered when creating the render.
Edit:
The tutorial shows how to add a custom renderer for a given class, but it does not show how to add a custom renderer for a specific column. You will use:
table.getColumnModel().getColumn(...).setCellRenderer(...);
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