### 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 ≠ 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.

Original language | English |
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Pages (from-to) | 3205-3209 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 136 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sep 2008 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**Maps on the n-dimensional subspaces of a hilbert space preserving principal angles.** / Molnár, L.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Maps on the n-dimensional subspaces of a hilbert space preserving principal angles

AU - Molnár, L.

PY - 2008/9

Y1 - 2008/9

N2 - 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 ≠ 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.

AB - 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 ≠ 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.

UR - http://www.scopus.com/inward/record.url?scp=67649916968&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67649916968&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-08-09317-9

DO - 10.1090/S0002-9939-08-09317-9

M3 - Article

VL - 136

SP - 3205

EP - 3209

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 9

ER -