title: Some new inequalities for continuous fusion frames and fusion pairs.
abstract: This paper addresses continuous fusion frames and fusion pairs which are extensions of discrete fusion frames and continuous frames. The study of equalities and inequalities for various frames has seen great achievements. In this paper, using operator methods we establish some new inequalities for continuous fusion frames and fusion pairs. Our results extend and improve ones obtained by Balan, Casazza and Găvruţa.
authors.affiliation: College of Applied Sciences, Beijing University of Technology, Beijing, 100124 People's Republic of China.
authors.forename: Wei
authors.initials: W
authors.lastname: Zhang
authors.affiliation: College of Applied Sciences, Beijing University of Technology, Beijing, 100124 People's Republic of China.
authors.forename: Yun-Zhang
authors.initials: YZ
authors.lastname: Li
keywords: Continuous fusion frame; Fusion pair; Parseval continuous fusion frame