Open Problems in the Geometry and Analysis of Banach Spaces, Guirao Antonio J., Montesinos Vicente, Zizler Vбclav
Автор: Pisier Название: Martingales in Banach Spaces ISBN: 1107137241 ISBN-13(EAN): 9781107137240 Издательство: Cambridge Academ Рейтинг: Цена: 9979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Martingales arise in many areas of probability theory. This book focuses on their applications to the geometry of Banach spaces and discusses the interplay of Banach space valued martingales with various other areas of analysis. It is accessible to graduates with a basic knowledge of real and complex analysis.
Автор: Tomkowicz Название: The Banach–Tarski Paradox ISBN: 1107042593 ISBN-13(EAN): 9781107042599 Издательство: Cambridge Academ Рейтинг: Цена: 15206.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Banach-Tarski Paradox is the most surprising result in mathematics. This new edition of a classic book offers a comprehensive, accessible presentation, with many related results, especially connections to non-Euclidean geometry, to squaring the circle, and even to some art by Escher. This material is suited to projects for undergraduates or masters students.
Описание: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis.
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and biorthogonal systems, fixed points, topology and nonlinear geometry.
The main purpose of this work is to help in convincing young researchers in Functional Analysis that the theory of Banach spaces is a fertile field of research, full of interesting open problems. Inside the Banach space area, the text should help expose young researchers to the depth and breadth of the work that remains, and to provide the perspective necessary to choose a direction for further study.
Some of the problems are longstanding open problems, some are recent, some are more important and some are only local problems. Some would require new ideas, some may be resolved with only a subtle combination of known facts. Regardless of their origin or longevity, each of these problems documents the need for further research in this area.
Описание: One service mathematics has rendered the 'Et moi, ...- si Javait so comment en revenir. je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. AIl arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Автор: Cho-ho Chu Название: Bounded Symmetric Domains In Banach Spaces ISBN: 9811214107 ISBN-13(EAN): 9789811214103 Издательство: World Scientific Publishing Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.
This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.
Описание: Preface.- Part I: Cora.- Cora Sadosky: her mathematics, mentorship, and professional contributions (Rodolfo Torres).- Cora's scholarly work: publications according to MathSciNet.- Remembrances and Photos (Steven Krantz, Marнa Dolores (Lolу) Morбn, Guido Weiss, Mike Wilson, Georgia Benkhart, Judy Green, Richard Bourgin, Daniel Szyld, Estela Gavosto, Andrea Nahmod, Marнa Cristina Pereyra, Gustavo Ponce, Rodolfo Torres & Wilfredo Urbina).- Part II: Harmonic and Complex Analysis, Banach and Metric Spaces, and Partial Differential Equations.- Higher-order elliptic equations in non-smooth domains: history and recent results (Svitlana Mayboroda).- Victor Shapiro and the theory of uniqueness for multiple trigonometric series (Marshall Ash).- A last conversation with Cora (Aline Bonami).- Fourier multipliers of the homogeneous Sobolev space W1,1 (Aline Bonami).- A Note on nonhomogeneous weighted div-curl lemmas (Der-Chen Chang, Galia Dafni & Hong Yue).- A remark on bilinear square functions (Lukas Grafakos).- Unique continuous for the elasticity system and a counterexample for second order elliptic systems (Carlos Kenig & Jenn-Nan Wang).- Hardy spaces of holomorphic functions for domains in Cn with minimal smoothness (Loredana Lanzani & Eli Stein).- On the preservation of eccentricities of Monge-Ampиre sections (Diego Maldonado).- BMO: oscillations, self-improvement, Gagliardo coordinate spaces and reverse Hardy inequalities (Mario Milman).- Besov spaces, symbolic calculus and boundedness of bilinear pseudodifferential operators (Virginia Naibo & Jodi Herbert).- Metric characterization of some classes of Banach spaces (Mikhail Ostrowski).- On the IVP for the k-generalized Benjamin-Ono equation (Gustavo Ponce).
Описание: Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis.
Описание: The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem.
Автор: Fabio Botelho Название: Functional Analysis and Applied Optimization in Banach Spaces ISBN: 3319060732 ISBN-13(EAN): 9783319060736 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one.
Автор: R. C. Blei; S. J. Sidney Название: Banach Spaces, Harmonic Analysis, and Probability Theory ISBN: 3540123148 ISBN-13(EAN): 9783540123149 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Goebel, Kazimierz (professor (emeritus), Maria Curie-sklodowska University, Lublin, Poland) Prus, Stanislaw (professor, Maria Curie-sklodowska Univers Название: Elements of geometry of balls in banach spaces ISBN: 0198827350 ISBN-13(EAN): 9780198827351 Издательство: Oxford Academ Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book forms the basis of a one-semester course for advanced undergraduate or beginning graduate students studying the geometry of balls in Banach spaces.
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