Sentence examples for be a compact linear from inspiring English sources

Let (T:W_{y} to W_{y}) be a compact linear operator on E.

Let (T:W_{y}rightarrow W_{y}) be a compact linear operator on E.

Let K be a total cone in a real Banach space X, and let L be a compact linear operator with (L K subseteq K).

Let (mathcal {X}) and (mathcal {Y}) be Hilbert spaces and let (mathsf {C}:mathcal {X}rightarrow mathcal {Y}) be a compact linear operator.

Let K be a reproducing cone in a real Banach space E, and (L: Erightarrow E) be a compact linear operator with (L K) subseteq K) and spectral radius (r(L)).

To complete this application, next we will present a pair of concrete examples of compact linear operators (L_{1} : C [-r, 0], H) to H). (i) Let (K : H to H) be a C [-rct linear operator.

By Lemma 2.1, is a compact linear map from into.

It is not difficult to verify that (L_{1}) is a compact linear operator.

By Lemma 4.1 we see that L is a compact linear map.

It is easy to verify that K is a compact linear operator.

It is immediate that (L_{1}) is a compact linear operator.