Sentence examples for be a continuous operator from inspiring English sources

(Homotopy invariance) Let be a continuous operator such that.

Operator S : Ω ¯ → Y be a continuous operator.

Further, let be a continuous operator such that for each subset of, where is a constant.

Let X be a Banach space, (Yin P_{b,op}(X)) and (V:Xtimes Xto X) be a continuous operator.

Let L : Dom L ⊂ X → Z be a linear operator and N X → Z Z be a continuous operator.

Let (T : OmegatoOmega) be a continuous operator such that TΩ is a relatively compact subset of X.

Since and are continuous, is a continuous operator.

Clearly, (mathcal{A}) is a continuous operator.

Hence, A is a continuous operator.

Hence, Q n is a continuous operator.

Step 1. T is a continuous operator.