About the Book: Functional Analysis: Entering Hilbert Space
This book presents basic elements of the theory of Hilbert spaces and operators
on Hilbert spaces, culminating in a proof of the spectral theorem for compact,
self-adjoint operators on separable Hilbert spaces. It exhibits a construction
of the space of pth power Lebesgue integral functions by a completion procedure
with respect to a suitable norm in a space of continuous functions, including
proofs of the basic inequalities of hölder and minkowski. The lp-spaces thereby
emerges in direct analogy with a construction of the real numbers from the
rational numbers. This allows grasping the main ideas more rapidly. Other
important