Duality　principles　in　Gabor　theory　such　as　the　Ron-Shen　duality　principle　and　the　Wexler-Raz　biorthogonality　relations　play　a　fundamental　role　for　analyzing　Gabor　systems.　For　each　sequence　in　a　Banach　space,　we　define　a　corresponding　sequence　dependent　only　on　two　p-Riesz　bases.　Then　we　characterize　exactly　properties　of　the　first　sequence　in　terms　of　the　associated　one.　We　generalize　some　results　that　were　obtained　by　P.　G.　Casazza,　G.　Kutyniok　and　M.　C.　Lammers　about　duality　principles　of　frames　in　a　separable　Hilbert　space.　©2010　IEEE.