Operator and Norm Inequalities and Related Topics (2022)

- 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 Operators and 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.