Function spaces provide a framework for analysing classes of functions by measuring their size, smoothness and structural properties. Central examples include Lebesgue spaces (Lp), Sobolev spaces ...

Banach space theory investigates the structure of complete normed vector spaces and the geometric characteristics that govern their behaviour. Central notions include convexity, smoothness and the ...

ABSTRACT: It is well known that a central issue in the famous debate between Gottfried Wilhelm Leibniz and Samuel Clarke is the nature of space. They disagreed on the ontological status of space ...