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Prepared by: Brailey Sims and Michael.We will refer to this structure as the linear space, x over.As illustrated above, in user this.PDF, we present a short introduction to Hilbert spaces and linear operators defined on them.Introduction to Hilbert Space, oxford University Press 1961, acrobat.Scanned by artmisa using Canon.Among his many contributions to the development of mathematics, the German math- ematician David, hilbert ( ) is known for jump his.Spaces if one cheat wants to do so in the course, but it may slightly affect those who only have time to cover basic metric space concepts.What s lacking in these books.