Geometric Aspects of Functional Analysis, Joram Lindenstrauss; Vitali D. Milman
Автор: Joram Lindenstrauss; Vitali D. Milman Название: Geometric Aspects of Functional Analysis ISBN: 3540540245 ISBN-13(EAN): 9783540540243 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Описание: The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience.
Описание: The book presents a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the book also is unified by geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience.
Автор: Zeidler Название: Applied Functional Analysis ISBN: 0387944222 ISBN-13(EAN): 9780387944227 Издательство: Springer Рейтинг: Цена: 12571.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications
with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis
elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The book's approach begins with the question
"what are the most important applications" and proceeds to try to answer this question.
The applications concern integral equations, differential equations, bifurcation theory,
the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws (the Noether theorem), the quark model, and gauge theory
in elementary particle physics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.
The first part of this
textbook has been published under the title Applied Functional Analysis: Applications to Mathematical Physics.
Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).
Описание: This text is designed both for students of probability and stochastic processes, and for students of functional analysis. Numerous standard and non-standard examples and exercises make it suitable for both a textbook for a course as well as for self-study.
Автор: Bo`az Klartag; Emanuel Milman Название: Geometric Aspects of Functional Analysis ISBN: 3319452819 ISBN-13(EAN): 9783319452814 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects.
Автор: Bo`az Klartag; Emanuel Milman Название: Geometric Aspects of Functional Analysis ISBN: 3319094769 ISBN-13(EAN): 9783319094762 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis.
Автор: V.D. Milman; G. Schechtman Название: Geometric Aspects of Functional Analysis ISBN: 3540410708 ISBN-13(EAN): 9783540410706 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume of original research papers from the Israeli GAFA seminars during the years 1996-2000, not only reports on more traditional directions of geometric functional analysis, but also reflects on some of the trends in Banach space theory and related topics.
Автор: Joram Lindenstrauss; Vitali D. Milman Название: Geometric Aspects of Functional Analysis ISBN: 3540193537 ISBN-13(EAN): 9783540193531 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Includes the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. This volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry.
Автор: Joram Lindenstrauss; Vitali Milman Название: Geometric Aspects of Functional Analysis ISBN: 3034899025 ISBN-13(EAN): 9783034899024 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the sixth published volume of the Israel Seminar on Geometric Aspects of Functional Analysis. The previous volumes are 1983-84 published privately by Tel Aviv University 1985-86 Springer Lecture Notes, Vol. 1267 1986-87 Springer Lecture Notes, Vol. 1317 1987-88 Springer Lecture Notes, Vol. 1376 1989-90 Springer Lecture Notes, Vol. 1469 As in the previous vC!lumes the central subject of -this volume is Banach space theory in its various aspects. In view of the spectacular development in infinite-dimensional Banach space theory in recent years (like the solution of the hyperplane problem, the unconditional basic sequence problem and the distortion problem in Hilbert space) it is quite natural that the present volume contains substantially more contributions in this direction than the previous volumes. This volume also contains many important contributions in the "traditional directions" of this seminar such as probabilistic methods in functional analysis, non-linear theory, harmonic analysis and especially the local theory of Banach spaces and its connection to classical convexity theory in IRn. The papers in this volume are original research papers and include an invited survey by Alexander Olevskii of Kolmogorov's work on Fourier analysis (which was presented at a special meeting on the occasion of the 90th birthday of A. N. Kol- mogorov). We are very grateful to Mrs. M. Hercberg for her generous help in many directions, which made the publication of this volume possible. Joram Lindenstrauss, Vitali Milman 1992-1994 Operator Theory: Advances and Applications, Vol.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
