Out of fairness, I thought I would post this for anyone interested. I recently bought a copy of Axler's 3rd edition. It is substantially better than the 2nd. It includes sections on quotient spaces and dual spaces.

With regard to my prior remarks in the question: the treatment of matrices is much more robust with very explicit notation showing how matrices function as linear transformations.

Initially, I thought the graphics in the formatting were a little extreme, but I have come to appreciate them as the pages are more visually accessible.

Finally the problem sets are enhanced (although I don't know what I will do with 500+ problems) yet many of them are challenging and illustrate applications of the concepts. And their organization at the end of each subsection rather than at the end of each chapter reinforces the material.