20.500.12556/RUL-156055 Maps on Grassmann spaces preserving the minimal principal angle Let $n$ be a positive integer and $H$ a Hilbert space. The description of the general form of bijective maps on the set of $n$-dimensional subspaces of $H$ preserving the maximal principal angle has been obtained recently. This is a generalization of Wigner’s unitary-antiunitary theorem. In this paper we will obtain another extension of Wigner’s theorem in which the maximal principal angle is replaced by the minimal one. Moreover, in this case we do not need the bijectivity assumption. Grassmann space Hilbert space orthogonal projection principal angles true false true Angleški jezik Ni določen Članek v reviji 2024-05-06 10:02:06 2024-05-06 10:02:08 2024-05-07 03:44:58 0000-00-00 00:00:00 2024 0 0 Str. 109–122 iss. 1/2 Vol. 90 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.9 0001-6969 10.1007/s44146-023-00093-8 189049859 s44146-023-00093-8.pdf s44146-023-00093-8.pdf 1 76B289CBCFB037CEEB352D1997B7BD76 b8101e8fe83480ff517ac5a52c8210c8241ebdfdeb417c611bec83b351d4d40e 2fec4e04-0b7f-11ef-ab55-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=183267 https://link.springer.com/article/10.1007/s44146-023-00093-8 1 f0b6d294-0b7e-11ef-ab55-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=183266 Fakulteta za matematiko in fiziko 0 0 0