Functional Analysis and Geometry

Description:

"This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry."--Back cover.

subjects: Functional analysis,  Geometry, non-euclidean,  Hyperbolic spaces,  Festschriften,  History and biography -- History of mathematics and mathematicians -- History of mathematics and mathematicians,  Algebraic geometry -- Affine geometry -- Affine geometry,  Several complex variables and analytic spaces -- Holomorphic functions of several complex variables -- Holomorphic functions of several complex variables,  Dynamical systems and ergodic theory -- Topological dynamics -- Topological dynamics,  Functional analysis -- Topological linear spaces and related structures -- Topological linear spaces and related structures,  Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Normed linear spaces and Banach spaces; Banach lattices,  Functional analysis -- Linear function spaces and their duals -- Linear function spaces and their duals,  Operator theory -- Special classes of linear operators -- Special classes of linear operators,  Convex and discrete geometry -- General convexity -- General convexity,  Differential geometry -- Global differential geometry -- Integral geometry