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Introduction to Functional Analysis by Angus E. Taylor, David C. Lay is a mathematics available to read on EtoBox.

What is Introduction to Functional Analysis about?

Title Page......Page 3 Copyright Information......Page 4 Dedication......Page 5 Preface......Page 6 Contents......Page 9 Introduction......Page 13 I The Abstract Approach to Linear Problems......Page 16 1.1 Abstract Linear Spaces......Page 17 1.2 Examples of Linear Spaces......Page 22 1.3 Linear Operators......Page 25 1.4 Linear Operators in Finite-Dimensional Spaces......Page 30 1.5 Other Examples of Linear Operators......Page 33 1.6 Direct Sums and Quotient Spaces......Page 40 1.7 Linear Functionals......Page 43 1.8 Linear Functionals in Finite-Dimensional Spaces......Page 47 1.9 Zorn's Lemma......Page 49 1.10 Extension Theorems for Linear Operators......Page 50 1.11 Hamel Bases......Page 53 1.12 The Transpose of a Linear Operator......Page 56 1.13 Annihilators, Ranges, and Null Spaces......Page 57 1.14 Conclusions......Page 61 II Topological Linear Spaces......Page 63 II.1 Normed Linear Spaces......Page 64 II.2 Examples of Normed Linear Spaces......Page 68 II.3 Finite-Dimensional Normed Linear Spaces......Page 74 II.4 Banach Spaces......Page 78 II.5 Quotient Spaces......Page 83 II.6 Inner-Product Spaces......Page 85 II.7 Hilbert Space......Page 98 II.8 Examples of Complete Ortho

Who reads Introduction to Functional Analysis?

It is typically read by self-directed learners exploring a subject in depth.

Common subject areas: history, science, philosophy, social sciences.

Author
Angus E. Taylor, David C. Lay
Publisher
R.E. Krieger Pub. Co.
Published
1980
Language
EN
ISBN
9780898749519
Category
mathematics
Subjects
Mathematics, Stem
Updated
2026-03-25

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