Sentence examples for a bounded set from inspiring English sources

Step 2. (mathcal{K}) maps a bounded set into a bounded set.

That is to say, ({U t,tau)} _{tgeqtau}) maps a bounded set in V into a bounded set in (D(A)), therefore ({U t,tau)}_{tgeqtau}) maps a compact set in (D(A)) into a bounded set in (D(A)).

Thus the operator T is continuous in Ω. Step 2. T maps a bounded set in Ω into a bounded set.

This implies that the operator T maps a bounded set into a bounded set in Ω. Step 3. T is equicontinuous in Ω.

This shows that the operator ℬ is continuous and maps a bounded set of L 1 ( Ω, X ) into a bounded set of L 1 ( Ω, X ).

Bringing 10 libraries together starts to help define a bounded set of all of the medical books published in the 19th century.

Suppose is a bounded set.

By assumption, is a bounded set in.

Let be a bounded set of.

So (Omega_{2}) is a bounded set.

Let be a bounded set in.