Reference text for Hilbert space theory. I am searching for a reference that contains a detailed discussion of most of the topics in Hilbert space theory. I am both interested in the geometry of Hilbert spaces and operators on Hilbert spaces. 
I am familiar with several excellent texts on Banach space theory; for example, Megginson's An Introduction to Banach Space Theory and Albiac & Fanton's Topics in Banach Space Theory. However, I am not aware of similar types of books for the theory of Hilbert spaces.
The book that comes most closely to what I have in mind is probably Halmos' A Hilbert Space Problem Book. However, as the title of this book indicates, this book is meant as a problem book and not really a reference text.
I am familiar with general topology, abstract measure theory, and functional analysis; so it is no problem if the book has these topics as a prerequisite (as Halmos' book has).
All suggestions and comments are welcome.
 A: (Caveat: while these all look promising to me, I haven't read any of them myself.)


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*William Arveson, A Short Course on Spectral Theory (Springer 2002)

*Bela Bollobas, Linear Analysis (2nd ed. Cambridge University Press 1999)

*Ronald G. Douglas, Banach Algebra Techniques in Operator Theory (Academic Press 1972 - there's a 2nd ed. from Springer, 1998, apparently not much changed from the 1st ed.)

*Gilbert Helmberg, Introduction to Spectral Theory in Hilbert Space (North-Holland, Amsterdam 1969; corr. 2nd pr. 1975; repr. Dover 2008(?))

*N. Young, An Introduction to Hilbert Space (Cambridge University Press 1988)

A: My two favorites for the very basics are the following:


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*Debnath & Mikusinski, "Introduction to Hilbert Spaces with Applications", 3rd Edition, 2005, Elsevier

*Kreyszig, "Introductory Functional Analysis with Applications", 1978, John Wiley & Sons
You don't need to know measure theory first with these.  They're ideal first books on Hilbert Spaces for people who aren't mathematicians, e.g., instead they are signal processing engineers.
