Let me begin by thanking the readers of the second edition for their many
helpful comments and suggestions, with special thanks to Joe Kidd and Nam
Trang. For the third edition, I have corrected all known errors, polished and
refined some arguments (such as the discussion of reflexivity, the rational
canonical form, best approximations and the definitions of tensor products) and
upgraded some proofs that were originally done only for finite-dimensional/rank
cases. I have also moved some of the material on projection operators to an
earlier position in the text.