On angles and distances between subspaces

AbstractThe angles and distances between two given subspaces of Cn,1 are investigated on the basis of a joint decomposition of the corresponding orthogonal projectors. Several new results are established, with the particular attention paid to the notions of inclinedness and minimal angle. To demonstrate the usefulness of the approach utilized, some results known to be valid in Hilbert space are reestablished in Cn,1, either in generalized form or with considerably shorter proofs than in the original sources