I'm currently reading up on Banach spaces. My book "Introduction to Banach spaces and their Geometry" by Beauzamy mentions "normed spaces" in some places, and "normed linear spaces" in other. I really don't understand the difference.
On searching on the internet, I found that the same axioms apply to both.
Is the only difference that normed linear spaces are to do with geometrical linear spaces, while normed spaces are to do with a larger class of vector spaces?
Thanks in advance!