Sentence examples for be a weakly open from inspiring English sources

Let U be a weakly open subset of Ω such that (0 in U).

Let Ω be a nonempty closed and convex subset of X, and (U subsetOmega) be a weakly open set (with respect to the weak topology of Ω) such that (0 in U).

Let Ω be a nonempty closed and convex subset of X, and U be a weakly open subset of Ω (with respect to the weak topology of Ω) such that (0 in U).

Let Q and C be closed, bounded, convex subset of X with Q ⊆ C. In addition, let U be a weakly open subset of Q with 0 ∈ U, and a weakly sequentially continuous and ψ-condensing mapping.

Let Ω be a nonempty closed and convex subset of X, and (U subset Omega) be a weakly open set (with respect to the weak topology of Ω) such that (0 in U).

Since ∥ q ( t 0 ) ∥ ≤ n and since F n B ( t 0, q ( t 0 ) ) is closed and convex, from the Hahn-Banach theorem, there is a weakly open convex set V ⊃ F n B ( t 0, q ( t 0 ) ) satisfying q ( t 0 ) ∉ V ¯.

Let be a weakly contractive mapping.

Let be a weakly positive linear operator.

Suppose that is a weakly continuous, if there exists a bounded open set, such that (2.47).

A Banach lattice is weakly orthogonal if limn→∞∥ |x n |∧|x| ∥ = 0 for all x ∈ X, whenever { x n } n = 1 ∞ Open image in new window is a weakly null sequence, where |x| ∧ |y| = min(|x|, |y|).

Suppose that is an open and strictly star shaped subset of a Banach space, with, and that is a weakly contractive map with being bounded.