Sentence examples for linear projector from inspiring English sources

Furthermore, Q is a continuous linear projector.

In fact, Q 1 is a continuous linear projector.

It is clear that Q is a continuous linear projector.

Similarly, the map Q 2 is a continuous linear projector.

Noting that Q is a linear projector, we have Z = Im Q ⊕ Ker Q.

Noting that Q is a linear projector, we have (Z= operatorname{Im}Qoplus operatorname{Ker}Q).

Obviously, (P_{2}) and (Q_{2}) are continuous linear projectors satisfying (2.3).

Clearly, (P_{1}) and (Q_{1}) are continuous linear projectors.

In what follows, we will show that Q 1 and Q 2 are linear projectors.

Now, we have the linear isomorphism Λ: X1 → Y1 and the continuous linear projectors P: X → X1 and Q: Y → Y1 with KerQ = ImL and ImP = X1.

This means that there are continuous linear projectors (P: Xrightarrow X) and (Q: Yrightarrow Y) such that (operatorname{Im}P =ker L), (ker Q=operatorname{Im}L), (X=ker Loplusker P) and (Y=operatorname{Im} Loplus operatorname{Im} Q).