I'm reading Kreyszig's Introduction to Functional Analysis. On page seven, the text provides its first example of a metric space that isn't a Euclidean Space:
I want to clarify what the following represents:
I think what this is saying is that, every sequence $x$ in our space consists of complex numbers, all of which are no farther apart than some real number $c_x$ ( which itself may or may not be a function of $x$ ).
Is that correct?