Advances in functional analysis and operator theory / edited by Marat V. Markin, Igor V. Nikolaev, and Carsten Trunk.

Includes bibliographical references.

Minimality conditions for Sturm-Liouville problems -- Solvability of differential-algebraic equations -- Symbolic dynamics and C*-algebras -- PT-symmetric couplings -- Quantum permutation groups -- Jordan algebras -- Kadison-Singer transforms -- Abelian varieties and related topics.

This volume contains peer-reviewed research papers presented at the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory held in Grenoble, France, in July 2022. The collection highlights contemporary developments in functional analysis, operator theory, differential equations, operator algebras, symbolic dynamics, and related areas of pure and applied mathematics. Contributions explore topics such as Sturm-Liouville boundary value problems, differential-algebraic systems, PT-symmetric operators, C*-algebras, von Neumann algebras, Jordan algebras, quantum permutation groups, low-dimensional topology, and arithmetic aspects of abelian varieties. The proceedings emphasize the growing interaction between analysis, mathematical physics, topology, and quantum theory while presenting modern theoretical methods and applications. Intended for advanced students, researchers, and specialists in mathematical analysis and operator theory, the volume provides a valuable reference for current trends and ongoing research in the field.