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

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4 Citations (Scopus)

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 languageEnglish
Pages (from-to)3205-3209
Number of pages5
JournalProceedings of the American Mathematical Society
Volume136
Issue number9
DOIs
Publication statusPublished - Sep 2008

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Hilbert spaces
n-dimensional
Hilbert space
Subspace
Angle
Form

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.

In: Proceedings of the American Mathematical Society, Vol. 136, No. 9, 09.2008, p. 3205-3209.

Research output: Contribution to journalArticle

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