In this short paper we answer a question posed by Chmieliński in [Adv. Oper. Theory, 1 (2016), no. 1, 8-14]. Namely, we prove that among normed spaces of dimension greater than two, only inner product spaces admit nonzero linear operators which reverse the Birkhoff orthogonality.
Wójcik, P. (2017). Operators Reversing Orthogonality and Characterization of Inner Product Spaces. Khayyam Journal of Mathematics, 3(1), 22-24. doi: 10.22034/kjm.2017.44746
MLA
Paweł Wójcik. "Operators Reversing Orthogonality and Characterization of Inner Product Spaces". Khayyam Journal of Mathematics, 3, 1, 2017, 22-24. doi: 10.22034/kjm.2017.44746
HARVARD
Wójcik, P. (2017). 'Operators Reversing Orthogonality and Characterization of Inner Product Spaces', Khayyam Journal of Mathematics, 3(1), pp. 22-24. doi: 10.22034/kjm.2017.44746
VANCOUVER
Wójcik, P. Operators Reversing Orthogonality and Characterization of Inner Product Spaces. Khayyam Journal of Mathematics, 2017; 3(1): 22-24. doi: 10.22034/kjm.2017.44746