Volume of Convex Bodies and Banach Space Geometry

Discover the intricate relationship between convex bodies and Banach space geometry in Volume of Convex Bodies and Banach Space Geometry by Gilles Pisier. Published in 1999 by Cambridge University Press, this compelling book spans 268 pages and offers a thorough, self-contained exploration of recent advancements in the field. Pisier expertly navigates the connections between the volume of convex bodies in n-dimensional Euclidean space and the geometric properties of corresponding finite-dimensional normed spaces. Drawing on classical concepts from convex set theory, probability, approximation theory, and local Banach space theory, this work is an essential read for students and professionals alike. Enhance your understanding of functional analysis and geometry with this insightful addition to your mathematical library.