Operator and Norm Inequalities and Related Topics

Richard M. Aron is Professor Emeritus of Mathematics at Kent State University, Ohio. Previously, he was a Lecturer and Fellow at Trinity College, University of Dublin. His research interests center on non-linear complex and functional analysis. He is an Editor in Chief of the Journal of Mathematical Analysis and Applications and is on the Editorial Board of the Mathematical Proceedings of the Royal Irish Academy and of RACSAM (Mathematical Journal of the Spanish Royal Academy of Sciences). He has been a Fulbright Fellow on several occasions (Bogota-Columbia, Buenos Aires-Argentina, and Dublin-Ireland). Mohammad Sal Moslehian is a Professor of Mathematics at the Ferdowsi University of Mashhad, an invited member of the Academy of Sciences of Iran, and the President of the Iran. Math. Soc. His research concerns operator algebras, Hilbert C*-modules, in particular, operator and norm inequalities. He was a Senior Associate in ICTP (Italy) and a visiting professor at several universities in England, Sweden, and Japan. He is the editor-in-chief of the journals "Banach J. Math. Anal.", "Ann. Funct. Anal.", and "Adv. Oper. Theory" being published by Birkhauser/Springer. Ilya M. Spitkovsky is a Professor of Mathematics at the New York University Abu Dhabi campus (NYUAD) since 2013, having worked at the College of William and Mary for almost 25 years prior to that. His research is on the spectral theory of operators, numerical ranges and their generalizations, Wiener-Hopf and convolution type equations, and their applications. He is an author of three research monographs and served as an editor of eight more. Hugo J. Woerdeman received his Ph.D. from the Vrije Universiteit in Amsterdam, The Netherlands in 1989. In that same year, he was appointed assistant professor at the College of William and Mary. During his tenure there he received a 1995 Alumni Fellowship Award for "Excellence in Teaching", and he was awarded the title of Margaret L. Hamilton Professor of Mathematics. In December 2004 he joined Drexel University as Professor and Department Head. Over the years, he has had long-term stays at the University of California, San Diego, the George Washington University, Ecole Nationale Superieure des Techniques Avancees, Katholieke Universiteit Leuven, Universite Catholique de Louvain, Princeton University, and the University of Waterloo.

- Part I Matrix and Operator Inequalities. - Log-majorization Type Inequalities. - Ando-Hiai Inequality: Extensions and Applications. - Relative Operator Entropy. - Matrix Inequalities and Characterizations of Operator Monotone Functions. - Perspectives, Means and their Inequalities. - Cauchy-Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications. - Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C -Module Operators. - Part II Orthogonality and Inequalities. - Birkhoff-James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs. - Approximate Birkhoff-James Orthogonality in Normed Linear Spaces and Related Topics. - Orthogonally Additive Operators on Vector Lattices. - Part III Inequalities Related to Types of Operators. - Normal Operatorsand their Generalizations. - On Wold Type Decomposition for Closed Range Operators. - (Asymmetric) Dual Truncated Toeplitz Operators. - Boundedness of Toeplitz Operators in Bergman-Type Spaces. - Part IV Inequalities in Various Banach Spaces. - Disjointness Preservers and Banach-Stone Theorems. - The Bishop-Phelps-Bollobás Theorem: An Overview. - A New Proof of the Power Weighted Birman-Hardy-Rellich Inequalities. - An Excursion to Multiplications and Convolutions on Modulation Spaces. - The Hardy-Littlewood Inequalities in Sequence Spaces. - Symmetries of C -algebras and Jordan Morphisms. - Part V Inequalities in Commutative and Noncommutative Probability Spaces. - Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis. - The First Eigenvalue for Nonlocal Operators. - Comparing Banach Spaces for Systems of Free Random Variables Followed by the Semicircular Law.