Open Access
VOL. 53 | 2007 Chapter 1: Vector Space Theory
Morris L. Eaton
IMS Lecture Notes Monogr. Ser., 2007: 1-69 (2007) DOI: 10.1214/lnms/1196285107

Abstract

Contents

  • 1.1. Vector Spaces

  • 1.2. Linear Transformations

  • 1.3. Inner Product Spaces

  • 1.4. The Cauchy-Schwarz Inequality

  • 1.5. The Space $\Lambda (V,W)$

  • 1.6. Determinants and Eigenvalues

  • 1.7. The Spectral Theorem

  • Problems

  • Notes and References

Information

Published: 1 January 2007
First available in Project Euclid: 28 November 2007

Digital Object Identifier: 10.1214/lnms/1196285107

Rights: Copyright © 2007, Institute of Mathematical Statistics

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