Sentence examples for weak closure from inspiring English sources

Let be the weak closure of.

Note that (the weak closure of ) is a weakly closed subset of for each.

For the reader's convenience we recall here the definition of the weak closure.

Here is a multivalued operator and denotes the weak closure of the set.

For the reader's convenience, we recall the definition of the weak closure.

Consequently the weak closure of any masa bimodule of trace class operators is strongly reflexive.

If W ⊆ X ∗, then clW denotes the weak∗ closure of W. For the whole paper, we endow X ∗ × R with the product topology of w ∗ ( X ∗, X ) and the usual Euclidean topology.

This motivates the introduction of essential Hochschild cohomology which we define by using the point weak star closure of coboundaries in place of the usual coboundaries.

Let K be a compact subset of the complex plane C, and let μ be a finite, positive Borel measure on K. Define R∞ to be the weak-star closure in L∞ of the algebra of rational functions with poles off K. For f ϵ R∞, we consider A∞ f, μ), the weak-star closure in L∞ of the algebra generated by R∞ and the complex conjugate f of f.

As a consequence, it is shown that if B is an arbitrary bounded Boolean algebra of bounded projections on a Banach space X, then AlgLat B) is the weak operator topology closure of the linear span of B. These generalize the work of several authors.

While weak inaccessibles merely involve closure under the successor operation, strong inaccessibles involve a much stronger notion of closure under the powerset operation.