The properties of q-frames and dualizable q-framein Banach Spaces

作     者：Ying AI The College of Science of ShenYang Jianzhu University Shenyang Liaoning 110168 Minna LUO Center of Computation of ShenYang Normal University Shenyang Liaoning 110034 

会议名称：《2011 World Congress on Engineering and Technology(CET 2011)》

会议日期：2011年

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

关 键 词：q-frame dualizable q-frame Banach space 

摘      要：In this paper, we introduce q-frame and dualizable q-frame in Banach spaces. Introducing the concepts of analysis operator and synthesis operator, we discuss the four equivalent propositions about the properties of q-frame. Next, we prove the necessary and sufficient condition of dualizable q-frame. At last, we consider the duality of Riesz basis and the stability of dualizable q-frame. We obtain some meaningful new results about properties q-frame and dualizable q-frame.