Derived Functors in Functional Analysis : Lecture Notes in Mathematics - Jochen Wengenroth

Instant online reading.
Don't wait for delivery!

Derived Functors in Functional Analysis

By: Jochen Wengenroth

Write A Review

Paperback | 10 December 2002

At a Glance

Paperback
148 Pages

Dimensions(cm)
23.5 x 15.88 x 0.64

Paperback

$59.99

or 4 interest-free payments of $15.00 with

Ships in 5 to 7 business days

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.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Algebra Mathematical Foundation Set Theory Differential Calculus & Equations Geometry Algebraic Geometry

Introduction	p. 12
Notions from homological algebra	p. 72
Derived Functors	p. 72
The category of locally convex spaces	p. 133
The projective limit functor for countable spectra	p. 173
Projective limits of linear spaces	p. 173
The Mittag-Leffler procedure	p. 233
Projective limits of locally convex spaces	p. 383
Some Applications	p. 503
The Mittag-Leffler theorem	p. 503
Separating singularities	p. 513
Surjectivity of the Cauchy-Riemann operator	p. 513
Surjectivity of P(D) on spaces of smooth functions	p. 523
Surjectivity of P(D) the space of distributions	p. 523
Differential operators for ultradifferentiable functions of Roumieu type	p. 544
Uncountable projective spectra	p. 594
Projective spectra of linear spaces	p. 594
Insertion: The completion functor	p. 684
Projective spectra of locally convex spaces	p. 705
The derived functors of Hom	p. 775
Extk in the category of locally convex spaces	p. 775
Splitting theory for Frèchet spaces	p. 865
Splitting in the category of (PLS)-spaces	p. 966
Inductive spectra of locally convex spaces	p. 1097
The duality functor	p. 119
References	p. 129
Index
Table of Contents provided by Publisher. All Rights Reserved.

Derived Functors in Functional Analysis

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Functional Analysis & Transforms

Functional Analysis

Entering Hilbert Space

Nonlinear Fractional Differential Equations of Variable Order

Measure Theory and Integration

Inequalities and Integral Operators in Function Spaces

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Schaum's Outline of Complex Variables

Schaum's Outline Series

A Concise Introduction to Functional Analysis

Mathematical Meditations

AK Peters/CRC Recreational Mathematics Series

A Course in Real Analysis

Textbooks in Mathematics

The Book of Functions

Explore Set Theory, Abstract Algebra, and Category Theory with Functional Programming

A Course on Function Spaces I

Continuous and Integrable Functions

Spectra of Discrete Structures

Cambridge Studies in Advanced Mathematics

A Guide to Generalized Functions

Linear, Nonlinear, Random, and Infinite Dimensional Distributions

Quantum Mechanics Done Right

The Shortest Path from Novice to Researcher

Unbounded Operators and Subnormality

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Mathematical Theory of Quantum Fields

International Series of Monographs on Physics

Young Scientists Series, The (In 12 Volumes)

Young Scientists

Symbolic Analysis of Dynamical Systems

Mathematical Marvels: Texts and Monographs in the Spirit of Cr Rao

Advances in Nonlinear Dynamics and Its Applications

Industrial and Applied Mathematics

Integral Operators in Non-Standard Function Spaces

Progress in Morrey-Type Spaces and Related Topics

Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Chapman University, January 2024

Integral Operators in Non-Standard Function Spaces

A Sequel: Inequalities, Sharp Estimates, Bounded Variation, and Approximation

A Journey Through Ergodic Theorems

Birkhï¿½user Advanced Texts Basler Lehrbï¿½cher

Convex Analysis

Textbooks in Mathematics

Convex Analysis

Textbooks in Mathematics

This product is categorised by