Banach Space Aspects of Frame Theory with Applications

Deguang Han, Ph.D., is a Professor in the Department of Mathematics at the University of Central Florida, Orlando, USA. His research interests include the theory of operator and operator algebras and the functional analysis approach to problems in applied harmonic analysis and applications. He has published over 150 publications including three books.Qianfeng Hu, Ph.D., is a Lecturer at the School of Science at the Hebei University of Technology, Tianjin, China. He obtained a Ph.D. in Pure Mathematics from Nankai University. His research interests include functional analysis and its application in quantum information theory.Bei Liu, Ph.D., is a Professor in the College of Science at Tianjin University of Technology, Tianjin, China. Her research interests include approximation theory, wavelet analysis, and signal processing, and she has published many papers on these topics. Rui Liu, Ph.D., is a Professor in the School of Mathematical Sciences and LPMC at Nankai University, Tianjin, China. He has published over 30 journal articles and one book. His research interests include functional analysis, Banach space theory, operator spaces, and related topics.

• Frames in Hilbert Spaces.- Frames in Banach Spaces.- Approximation Properties.- Banach Dilation.- Nonselfadjoint Dilation and Generalized Choi-Kraus Representation.- Quantum Detection and Phase Retrieval.