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My (Non Mathematical) Biography
Vitali Milman, a world-renowned mathematician who was selected in 2018 by the Milner Global Foundation and the Marker magazine as one of the 70 most influential scientists in Israel, shares his unique and extraordinary journey in the world. In his concise style, Professor Milman describes his remarkable life path, which spans on six decades of accomplished academic career. He recounts the ups and downs, the hardships and the fantastic strokes of luck which saved his life many times. The narrative focuses on the emotional impact the historical and personal events had on Milman's life and the way they affected his personality and development. Born in Odessa, the former USSR, his childhood was ...
Convex Geometric Analysis
Articles on classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis, first published in 1999.
Functional Analysis
Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators.
Asymptotic Theory of Finite Dimensional Normed Spaces
This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces (this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and Tomczak-Jaegermann's [T-Jl] where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie].
Asymptotic Geometric Analysis, Part II
This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as volume 202 in this series. Asymptotic geometric analysis studies properties of geometric objects, such as normed spaces, convex bodies, or convex functions, when the dimensions of these objects increase to infinity. The asymptotic approach reveals many very novel phenomena which influence other fields in mathematics, especially where a large data set is of main concern, or a number of parameters which becomes uncontrollably large. One of the important features of this new theory is in developing tools which allow studying high parametric families. Among the topics covered in the book are measure concentration, isoperimetric constants of log-concave measures, thin-shell estimates, stochastic localization, the geometry of Gaussian measures, volume inequalities for convex bodies, local theory of Banach spaces, type and cotype, the Banach-Mazur compactum, symmetrizations, restricted invertibility, and functional versions of geometric notions and inequalities.
Geometries in Interaction
In the last decades of the 20th century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of geometry and its applications to functional analysis, PDE, analytic number theory and physics. This is a reprint from GAFA, Vol. 5 (1995), No. 2., enlarged by a short biography of Mikhail Gromov and a list of his publications.
The History Of England From The Accession Of James II. (Volume V)
The History Of England From The Accession Of James II. (Volume V): With A Memoir By Rev. H. H. Milman In Volume I (In Five Volumes, Vol. V.) This book is a result of an effort made by us towards making a contribution to the preservation and repair of original classic literature. In an attempt to preserve, improve and recreate the original content, we have worked towards: 1. Type-setting & Reformatting: The complete work has been re-designed via professional layout, formatting and type-setting tools to re-create the same edition with rich typography, graphics, high quality images, and table elements, giving our readers the feel of holding a 'fresh and newly' reprinted and/or revised edition, ...
