I am developing RCP plug-in with GEF framework.
I’ve created basic graphical editor (GraphicalEditor and IEditorInput)
IWorkbenchPage page = PlatformUI.getWorkbench().getActiveWorkbenchWindow().getActivePage();
page.openEditor(new TEditorInput("T"), TGraphicalEditor.ID,false);
When I run the application I get editor with a header that contains the tab with the name of the editor and control buttons to maximize and minimize the editor.
What I need is to display just the editor, without the header.
Can it be done?

The idea with editors is that you can instantiate them multiply for different editor inputs. I am not aware of any way to restrict the number of open editors to just one (well, it appears you can in Eclipse 4.2 if that helps you)
For views, what you want can be done by setting the perspective to fixed and set
showTitleof theorg.eclipse.ui.perspectiveExtensionsextension to false on the view. Maybe you can use a view instead of an editor and control the editor input yourself?(For example, using an editor, the default Open action would instantiate a new editor, while you probably want to replace the contents in your only editor, right?)