Sentence examples for be a reflexive separable from inspiring English sources

Let V be a reflexive separable Banach space embedded continuously and densely into a Hilbert space H with inner product.

Let W be a reflexive and separable Banach space.

For this purpose, let W be a reflexive and separable Banach space.

Theorem 4.1 Let X be a reflexive or separable Banach space which has the FPP, let K be a closed convex subset of X, and suppose f : K → K is eventually nonexpansive.

Let ((X,succcurlyeq_{X})) be a reflexive, smooth, strictly convex and separable Banach lattice, and let ((Omega,succcurlyeq_{Omega})), ((Theta,succcurlyeq_{Theta})) be posets.

Let be a reflexive space.

Then X is a reflexive and separable Banach space.

The fractional derivative space (E_{0}^{alpha,p}) is a reflexive and separable Banach space.

The fractional derivative space E 0 α, p is a reflexive and separable Banach space.

Note that X is a reflexive and separable Banach space (see [22, Sect.

(2.3) Based on [17], if (1< pis a reflexive and separable Banach space.