I wonder, what do you think about the chapter about dual spaces, dual maps, annihilator, etc.?
Nothing, because it wasn’t in the material. I worked through the second edition of the book, and the parts on duality seem to be new to the third edition.
I believe when mathematicians say that in general P(x) holds, they mean that for any x in the domain of interest P(x) holds. Perhaps you want to you typical instead of general here. E.g. there is a notion called typical tensor rank of tensors of given shape, which means a tensor rank which occurs with non-zero probability when a random tensor of given shape is sampled.
Nothing, because it wasn’t in the material. I worked through the second edition of the book, and the parts on duality seem to be new to the third edition.
Thanks for that, I changed it.