Preliminary Background

Tepper L. Gill and Woodford Zachary
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Tepper L. Gill: Howard University, Departments of Electrical and Computer Engineering
Woodford Zachary: Howard University, Departments of Electrical and Computer Engineering

Chapter Chapter 1 in Functional Analysis and the Feynman Operator Calculus, 2016, pp 1-48 from Springer

Abstract: Abstract This chapter is composed of two parts: Basic Analysis and Intermediate Analysis.The first part is a review of some of the basic background that is required from the first 2 years of a standard program in mathematics. There are program differences so that some areas may receive more coverage while others receive less. Our purpose is to provide a reference point for the reader and establish notation. In a few important cases, we have provided proofs of major theorems. In other cases, we delayed a proof when a more general result is proven in a later chapter.In the second part of this chapter, we include some intermediate to advanced material that is required later. In most cases, motivation is given along with additional proof detail and specific references.

Keywords: Major Theorem; Continuous Bilinear Functionals; Tensor Norm; Banach-Steinhaus Theorem; Separable Banach Space (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-27595-6_1

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