Projection Operator Related question

1. Which operator is used for projection?
2. How do you prove an operator is a projection operator?
3. Is projection operator Hermitian?

Which operator is used for projection?

Project operator is used in Projection Operation. 6. Select operator is denoted by Sigma symbol. Project operator is denoted by Pi symbol.

How do you prove an operator is a projection operator?

A linear operator T on V is called the projection on W1 along W2 or simply projection, if, given v = w1 + w2, we have T(v) = w1. Proposition 1.1. A linear operator T on V is a projection if and only if T2 = T.

Is projection operator Hermitian?

A projector is a Hermitian operator.