Linear Functional Analysis for Scientists and Engineers

1. Prerequisites 2. Basic Framework 3.Bounded Linear Maps 4. Dual Spaces, Transposes and Adjoints 5. Spectral Theory 6. Correction to: Linear Functional Analysis for Scientists and Engineers

This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. The purpose of the text is to present the basic aspects of functional analysis to this varied audience, keeping in mind the considerations of applicability. A novelty of this book is the inclusion of a result by Zabreiko, which states that every countably subadditive seminorm on a Banach space is continuous. Several major theorems in functional analysis are easy consequences of this result.