Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University
Publications

On angles and distances between subspaces

O. M. Baksalary1 , G. Trenkler2

1 Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
2 Department of Statistics, Dortmund University of Technology, Vogelpothsweg 87, D-44221 Dortmund, Germany

Linear Algebra and Its Applications, 431, 2243-2260 (2009)

Abstract:

The angles and distances between two given subspaces of 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 , either in generalized form or with considerably shorter proofs than in the original sources.

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