Maps on the $n$-dimensional subspaces of a Hilbert space preserving principal angles
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Abstract:
In a former paper we studied transformations on the set of all $n$-dimensional subspaces of a Hilbert space $H$ which preserve the principal angles. In the case when $\dim H\neq 2n$, we could determine the general form of all such maps. The aim of this paper is to complete our result by considering the problem in the remaining case $\dim H=2n$.References
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Additional Information
- Lajos Molnár
- Affiliation: Institute of Mathematics, P.O. Box 12, University of Debrecen, H-4010 Debrecen, Hungary
- Email: molnarl@math.klte.hu
- Received by editor(s): March 28, 2007
- Received by editor(s) in revised form: July 18, 2007
- Published electronically: April 29, 2008
- Additional Notes: The author was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. T046203, NK68040.
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3205-3209
- MSC (2000): Primary 47B49, 15A30
- DOI: https://doi.org/10.1090/S0002-9939-08-09317-9
- MathSciNet review: 2407085