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Derived Functors in Functional Analysis, Wengenroth Jochen


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Автор: Wengenroth Jochen
Название:  Derived Functors in Functional Analysis
Перевод названия: Производные функции в функциональном анализе
ISBN: 9783540002369
Издательство: Springer
Классификация:

ISBN-10: 3540002367
Обложка/Формат: Paperback
Страницы: 134
Вес: 0.24 кг.
Дата издания: 2003
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 23.62 x 15.60 x 0.86
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fr chet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators.The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Дополнительное описание: Формат: 235x155
Круг читателей: Researchers and graduate students in numerical analysis and scientific computing 
Ключевые слова: Functional analysis
derived functors
homological methods
locally convex spaces
Язык: eng
Оглавление: 1 Introduction 12 Notions from homological algebra 72.1 Derived Functors 72.2 The category of locally convex spaces 133 The projective limit functor for countable spectra 173.1 Projective limits of linear spaces 173.2 The Mittag-Leffler procedure 233.3 Projective limits of locally convex spaces 383.4 Some Applications 503.4.1 The Mittag-Leffler theorem 503.4.2 Separating singularities 513.4.3 Surjectivity of the Cauchy-Riemann operator 513.4.4 Surjectivity of P(D) on spaces of smooth functions 523.4.5 Surjectivity of P(D) the space of distributions 52 3.4.6 Differential operators for ultradifferentiable functions of Roumieu type 544 Uncountable projective spectra 594.1 Projective spectra of linear spaces 594.2 Insertion: The completion functor 68The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for FrГ©chet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators.The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.




Applied Functional Analysis

Автор: Zeidler
Название: Applied Functional Analysis
ISBN: 0387944222 ISBN-13(EAN): 9780387944227
Издательство: Springer
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Цена: 12571.00 р.
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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.

Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 9077.00 р.
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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).

Beginning Functional Analysis

Автор: Saxe Karen
Название: Beginning Functional Analysis
ISBN: 0387952241 ISBN-13(EAN): 9780387952246
Издательство: Springer
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Цена: 8384.00 р.
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Описание: The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces.

Functional Analysis

Автор: Peter D. Lax
Название: Functional Analysis
ISBN: 0471556041 ISBN-13(EAN): 9780471556046
Издательство: Wiley
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Цена: 17258.00 р.
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Описание: Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.


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