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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

3 votes
1 answer
330 views

The generalization of commutative property of orthogonal projectors on a subspace to the who...

Let for $i\in [n]$, $P_i$ be some orthogonal projectors defined on the Hilbert space $W$ such that they commute on subspace $V < W$ (i.e, for any $i, j \in [n]$ and $v \in V$: $P_iP_j(v) = P_jP_i(v)$) …