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The Volume of Convex Bodies and Banach Space Geometry

Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex;

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Bodies of Constant Width

convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various;

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Measures of Symmetry for Convex Sets and Stability

This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set-measures;

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Integral Geometry And Convexity - Proceedings Of The International Conference

in integral geometry, convex geometry, complex geometry, probability, statistics, and other convexity related branches. The articles cover both recent;

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Finite Packing and Covering

dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies;

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Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization

is presented, bringing together previously unrelated ideas from Banach space geometry, finite dimensional convex optimization and functional analysis;

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Selected Topics in Convex Geometry

, and measure theory Can be used for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex;

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Functional Analysis

spaces Bases in Banach spaces Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs;

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Banach Spaces and their Applications in Analysis

of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space;

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A Course on Topological Vector Spaces

, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness;

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Convex Geometric Analysis

Convex geometry is at once simple and amazingly rich. While the classical results go back many decades, during that previous to this book's;

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Convex Geometric Analysis

Convex geometry is at once simple and amazingly rich. While the classical results go back many decades, during that previous to this book's;

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Geometry of Müntz Spaces and Related Questions

polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present;

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Geometry of Convex Sets

and readers interested in learning the various applications of convex geometry, the book is also appropriate for teachers who would like to;

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Elements of Geometry of Balls in Banach Spaces

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need;

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Encyclopedia of Mathematics and its Applications

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using;

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Encyclopedia of Mathematics and its Applications

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using;

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Lectures On Convex Sets

This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the;

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Lectures On Convex Sets

This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the;

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Geometry of Lengths, Areas, and Volumes

of continued fractions, the efficient rational approximation of real numbers, and Minkowski's theorem on convex bodies; straight-edge and compass;

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London Mathematical Society Lecture Note Series

, that of finding all perfect polytopes, and more generally all perfect convex bodies, is perhaps the most attractive. This book will be of value;

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A.D. Alexandrov

some of the most important papers by this renowned geometer. Volume 1 covers convex polyhedrons and closed surfaces, an elementary proof and;

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Cambridge Tracts in Mathematics

This account of convexity includes the basic properties of convex sets in Euclidean space and their applications, the theory of convex;

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Convex Functions

convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by;

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Results and Problems in Combinatorial Geometry

In this short book, the authors discuss three types of problems from combinatorial geometry: Borsuk's partition problem, covering convex;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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Geometry and Martingales in Banach Spaces

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the;

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