Banach spaces

normed vector space that is complete

function spaces generalizing finite-dimensional p norm spaces

a derivative defined on normed spaces

Computational tool

locally convex topological vector space that coincides with the continuous dual of its continuous dual space, both as linear space and as topological space

p-norm for p equal to ∞

topological space

reflexive Banach space such that the center of a line segment inside the unit ball must lie deep inside the unit ball unless the segment is short

generalization of Sobolev spaces

function space

inequality on Lp norms

Relates three different kinds of weak compactness in a Banach space

theorem

On strongly convergent combinations of weakly convergent sequence in a Banach space