Can I read First Course in Functional Analysis on EtoBox?

First Course in Functional Analysis by Casper Goffman, George Pedrick is a nonfiction available to read on EtoBox.

What is First Course in Functional Analysis about?

CONTENTS Chapter I - Metric Space 1 1.1 Definitions and Examples 1 1.2 Inequalities of Holder and Minkowski 2 1.3 Examples Continued; $l_p$ Spaces 4 1.4 Examples Continued; Function Spaces 6 1.5 Convergence and Related Notions 8 1.6 Separable Space, Examples 9 1.7 Complete Space, Examples 11 1.8 Contractions, Applications to Differential and Integral Equations 16 1.9 Completion 20 1.10 Category, Nowhere Differentiable Continuous Functions 21 1.11 Compactness, Continuity 24 1.12 Equicontinuity, Application to Differential Equations 28 1.13 Stone-Weierstrass Theorems 32 1.14 Normal Families 35 1.15 Semi-continuity, Application to Arc Length 38 1.16 Space of Compact, Convex Sets 41 Exercises 43 Chapter 2 - Banach Spaces 50 2.1 Vector Space 50 2.2 Subspace 52 2.3 Quotient Space 54 2.4 Dimension, Hamel Basis 55 2.5 Algebraic Dual, Second Dual 57 2.6 Convex Sets 58 2.7 Ordered Groups 59 2.8 Hahn-Banach Theorem, Separation Form 60 2.9 Hahn-Banach Theorem, Extension Form 62 2.10 Applications, Banach Limits, Invariant Measure 64 2.11 Banach Space, Dual Space 71 2.12 Hahn-Banach Theorem in Normed Space 73 2.13 Uniform Boundedness Principle, Applications 76 2.14 Lemma of F. Riesz, Application

Who reads First Course in Functional Analysis?

Author

Casper Goffman, George Pedrick

Publisher

Prentice Hall

Published

1965

Language

EN

ISBN

9780133183863

Category

nonfiction

Subjects

Mathematics, Stem