It reflects the general trends of the theory.
Most of the papers deal with different aspects of the Asymptotic Geometric Analysis. In addition the volume contains papers on related aspects of Probability, classical Convexity and also Partial Differential Equations and Banach Algebras. There are also two expository papers on topics which proved to be very much related to the main topic of the seminar. One is Statistical Learning Theory and the They continue to reflect the general trends of the Theory.
Publications of Zbigniew Błocki
Several papers deal with the slicing problem and its relatives. Some deal with the concentration phenomenon and related topics. In many of the papers there is a deep interplay between Probability and Convexity. The volume contains also a profound study on approximating convex sets by randomly chosen polytopes and its relation to floating bodies, an important subject in Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.
The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in the Fall of continued an established tradition of previous large-scale programs devoted to the same general research direction.
Geometric Aspects of Functional Analysis
Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies Wyszukiwanie zaawansowane. Kategoria: Nauka 0. Cena: od:.
Joram Lindenstrauss ; Vitali Milman. In view of the spectacular development in infinite-dimensional Banach space theory in recent years like the solution of the hyperplane The previous volumes are published priva Joram Lindenstrauss ; Vitali D.
The large majority of the papers are original research papers. Vitali D. Milman ; Gideon Schechtman.
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This volume contains a collection of original research papers on recent developments in Banach space theory and related areas by many of the leading research workers in the field. A considerable number of papers are devoted to structure theory of infinite-dimensional Banach spaces.
This research ground has experienced a remarkable breakthrough in recent years, which has given new insight into infinite-dimensional geometry even of Hilbert spaces.
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Several new results and examples are included in this volume and new research directions are surveyed. Other contributions concern the well This volume contains a collection of original research papers on recent developments in Banach space theory and related areas by many of the leading r One of the main topics is the estimation of the dimensions of euclidean and l DEGREESn p spaces which nicely embed into diverse finite-dimensional normed spaces.
An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other.
Publications of Zbigniew Błocki
KG, Germany, Language: English. Brand new Book. Seller Inventory AAV Ships with Tracking Number! Buy with confidence, excellent customer service!. Seller Inventory n. Publisher: Springer , This specific ISBN edition is currently not available. View all copies of this ISBN edition:.
Synopsis : The results of an Israeli seminar on the geometric aspects of functional analysis, this volume contains research papers which cover a wide range of topics, including dynamical systems, quantum chaos, harmonic analysis and Banach space theory.
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- Geometric Aspects of Functional Analysis?
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