Sentence examples for reflexive space from inspiring English sources

Let be a reflexive space.

Then, C, as closed, bounded convex subset in a reflexive space, is weakly compact.

But a locally uniformly convex space is not necessarily a reflexive space.

In [7] T Domínguez Benavides proved that any reflexive space can be so renormed.

We prove that there is a reflexive space with a basis Z such that every T∈A factors through Z.

It is known that if {x n } is a bounded sequence in a reflexive space, then ω w ({x n }) = ∅.

We recall some known results such as the existence of Torricellian point(s) in reflexive spaces.

It is well known that in reflexive spaces ∇f = (∇f* −1 (see [9], page 83).

Sims raised the question whether reflexive spaces with WORTH property have (FPP).

Therefore both have the and hence the result follows for nonseparable reflexive spaces.

Spaces with Radon-Nikodym property include separable dual spaces and reflexive spaces, which include, in particular, Hilbert spaces.