This is an introductory chapter in which we study the basic properties of Hilbert spaces, indispensable for an understanding of the sequel. Although it is fairly complete in itself, this chapter is necessarily brief in many areas and the reader would find it helpful to have had an elementary introduction to linear spaces, and Hilbert spaces in particular, such as one finds in the standard texts on real analysis.
KeywordsHilbert Space Linear Space Product Space Cauchy Sequence Schwarz Inequality
Unable to display preview. Download preview PDF.