Transformations on the set of all n-dimensional subspaces of a Hilbert space preserving principal angles
Molnar, Lajos
arXiv, 0011029 / Harvested from arXiv
Text on arXiv
Wigner's classical theorem on symmetry transformations plays a fundamental role in quantum mechanics. It can be formulated, for example, in the following way: Every bijective transformation on the set L of all 1-dimensional subspaces of a Hilbert space H which preserves the angle between the elements of L is induced by either a unitary or an antiunitary operator on H. The aim of this paper is to extend Wigner's result from the 1-dimensional case to the case of n-dimensional subspaces of H with n fixed.
Publié le : 2000-11-04
Classification:  Mathematics - Functional Analysis,  Mathematical Physics,  Mathematics - Operator Algebras 
@article{0011029,
     author = {Molnar, Lajos},
     title = {Transformations on the set of all n-dimensional subspaces of a Hilbert
  space preserving principal angles},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011029}
}

Molnar, Lajos. Transformations on the set of all n-dimensional subspaces of a Hilbert
  space preserving principal angles. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011029/