Final answer:
The formula for T*(z₋₁,...,zₙ) is T*(z₋₁,...,zₙ) = (0,z₋₁,...,zₙ).
Step-by-step explanation:
To find the formula for T*(z₋₁,…,zₙ), we first need to understand what T*(z₋₁,…,zₙ) represents.
The symbol T* denotes the adjoint of the linear operator T.
In other words, T* is the transpose of T.
In this case, T(z₁,…,zₙ)=(0,z₁,…,zn₋₁), so T* will be a linear operator that takes a vector (z₋₁,…,zₙ) and returns a vector of the same dimensions, where the first element is 0 and the remaining elements are the same as in the input vector.
Therefore, the formula for T*(z₋₁,...,zₙ) is T*(z₋₁,...,zₙ) = (0,z₋₁,...,zₙ).