Sentence examples for be a reflexive smooth from inspiring English sources

Let E be a reflexive smooth Banach space and (E^) has a uniformly Gâteaux differentiable norm.

Let E be a reflexive, smooth, and strictly convex Banach space.

Let X be a reflexive, smooth and strictly convex Banach space with the dualspace X ∗.

Let E be a reflexive, smooth, and strictly convex Banach space, and let (Asubset Etimes E^) be a monotone operator.

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

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

(5) If E is a reflexive, smooth and strictly convex Banach space, then J is single-valued, one-to-one, and onto.

If B is a reflexive smooth and strictly convex Banach space and J*: B* → 2 B is the normalized duality mapping on B*, then J - 1 = J *, J J * = I B * and J*J = I B, where I B and I B * are the identity mappings on B and B*.

Definition 2.4[8]Let E be a reflexive and smooth Banach space.

Let X be a reflexive and smooth Banach space and (lambda: Xrightarrow R_) be any function.

Let E be a reflexive and smooth Banach space such that E and E* are locally uniformly convex.