JTable hide and show columns
I think you have named your methods incorrectly, when you want to hide a column you will set
column.setMinWidth(0);
column.setMaxWidth(0);
column.setPreferredWidth(0);
but in your code you are doing this when you want to show a column which is exactly opposite.
Also there is no need to call this "setWidth" method on a TableColumn, read TableColumn#setWidth(int).
instead of re-inventing the wheel you might consider to use JXTable (in the SwingX project) which supports hidden columns, comlete with a ui-control to allow users hiding/showing them dynamically - and a bunch of other useful thingies :).
JTable#removeColumn remove Column only from JTable view, more in this example
try this something like this for example:
myTableModel = new DefaultTableModel();
myTableModel.setColumnIdentifiers(new Object[]{"ID", "Name"});
JTable myTable = new JTable(myTableModel);
// remember to save the references
TableColumn myTableColumn0 = guiLoteryNumbersTable.getColumnModel().getColumn(0);
TableColumn myTableColumn1 = guiLoteryNumbersTable.getColumnModel().getColumn(1);
//...
// remove temporary the column ("hide")
myTable.getColumnModel().removeColumn(myTableColumn1);
// then you restore that column when you need it ("show")
myTable.getColumnModel().addColumn(myTableColumn1);
That's the best way I know to hide a column.