Sentence examples for be a real ordered from inspiring English sources

Proof Let X be a real ordered Banach space, let A be a γ-ordered non-extended mapping and a comparison mapping M be a ( α A, λ ) -ANODM mapping, then ( A + λ M ) ( X ) = X for α A, λ > 0. It is follows that ( A + λ ω ( ω M ) ) ( X ) = X for α A, λ ω > 0. Therefore, ωM is a ( α A, λ ω ) -ANODM mapping by Lemma 2.6.

Lemma 3.4 Let X be a real ordered Banach space.

Let X be a real ordered Banach space.

Definition 2.6 Let X be a real ordered Banach space, and let F : X × X → X be a mapping.

Proof Let X be a real ordered Banach space, and let X × X be an ordered product Banach space.

Allow X to be a real ordered Banach space and C a normal cone having the normal constant (lambda_{C}).

Let be a real linear space, and let be a real order complete PL space.

Suppose that time is unreal, but there is a real ordering corresponding to the apparent temporal ordering.

Let ( X, ⪯ ) be a real partially ordered Banach space with the dual X ∗ and S be a subset of X.

Let E be a real Banach space partially ordered by a cone (Psubset E), that is, (xleq y) iff (y-xin P).

But it needed to be a real partnership in order to be successful".