In a graphical desktop environment displaying desktop components, a control is provided to track the position of a pointer on a screen, and when the pointer enters relevant regions with respect to a desktop component, a thin or thick border in displayed around the desktop component to enable a user to resize the desktop component, and/or a caption bar is displayed along an edge of the component to enable a user to move the desktop component on the desktop. The caption bar may additionally be provided with menu and close buttons, to enable the user to bring up a menu of properties and/or actions for the desktop component, and close the desktop component, respectively. When the pointer is outside any region relevant to a desktop component, no borders or caption bars are displayed, thereby resulting in a visually less cluttered appearance.