Some items may not be traded between characters. If placed, only the owner may remove them. Many items are tagged No Trade. To show No Trade items only, click the button in the Options tab. Click the button again to show all items. There is an ongoing project for SOE to remove the No Trade tag from many furniture items. Suggestions can be made in the Norrathian Homeshow section of the official forums. The option to show only No Trade items can help with this.