Linear maps preserving orthogonality

Chaoqun Chen; Fangyan Lu

doi:10.15352/afa/06-4-70

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Home > Journals > Ann. Funct. Anal. > Volume 6 > Issue 4 > Article

2015 Linear maps preserving orthogonality

Chaoqun Chen, Fangyan Lu

Ann. Funct. Anal. 6(4): 70-76 (2015). DOI: 10.15352/afa/06-4-70

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Abstract

We investigate maps between normed spaces which preserve the orthogonality defined by the norm derivative. These maps are showed to be a scalar multiple of an isometry.