Orthogonality preserving transformations on the set of $n$-dimensional subspaces of a Hilbert space
Šemrl, Peter
Illinois J. Math., Tome 48 (2004) no. 3, p. 567-573 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We characterize bijective transformations on the set of all $n$-dimensional subspaces of a Hilbert space that preserve orthogonality in both directions. This extends Uhlhorn's improvement of Wigner's classical theorem on symmetry transformations.
Publié le : 2004-04-15
Classification:  47B49,  47N50 
@article{1258138399,
     author = {\v Semrl, Peter},
     title = {Orthogonality preserving transformations on the set of $n$-dimensional subspaces of a Hilbert space},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 567-573},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138399}
}

Šemrl, Peter. Orthogonality preserving transformations on the set of $n$-dimensional subspaces of a Hilbert space. Illinois J. Math., Tome 48 (2004) no. 3, pp.  567-573. http://gdmltest.u-ga.fr/item/1258138399/