Sentence examples for be an arbitrary topological from inspiring English sources

Let X be an arbitrary topological space.

Then A ⊂ B implies A ∘ ⊂ B ∘. Example 2.1 Let ( Y, τ ) be an arbitrary topological vector space and let → τ be the τ-convergence in Y. Obviously, ( Y, → τ ) is a vector space with convergence.

Let be an arbitrary real Hausdorff topological vector spaces, and a Banach space.

Let X be an arbitrary set in a Hausdorff topological vector space Y.

Let be an arbitrary function.

(xiv) Let be an arbitrary.

Let be an arbitrary element.

Let be an arbitrary graph.

We now establish the Alaoglu-Bourbaki theorem ([[1], p. 130]) for the pair (X, X γ,U)), where X is an arbitrary non-trivial topological vector space.

(5) The above theorem is also true if one replaces C ( X ) by C b ( X ), the space of bounded continuous functions, in the case of an arbitrary topological space X.  .

Csiszár, On the weak∗ continuity of convolution in a convolution algebra over an arbitrary topological group, Studia Sci.