The suggested improvement will take place in the org.geoserver.web.wicket.GeoServerTablePanel<T> class.
Step 1:User filters the table using some keywords
Step 2:User clicks a row on table and navigates to resource page(e.g Layer, Layer Group, Styles etc).
Step 3:After clicking Submit or Cancel when user returns to Admin page with GeoServerTablePanel, the previously used filter that was used to thin out the table is gone and user has to enter the filter again
An improvement is proposed on Step 3, where the list on admin page should retain its filtered state unless the user clears the filter.