A formula for the g-angle between two subspaces of a normed space
Nur M.a, Gunawan H.a, Neswan O.a
a Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, 40132, Indonesia
Abstract
© 2017, The Managing Editors.We develop the notion of g-angle between two subspaces of a normed space. In particular, we discuss the g-angle between a 1-dimensional subspace and a t-dimensional subspace for t≥ 1 and the g-angle between a 2-dimensional subspace and a t-dimensional subspace for t≥ 2. Moreover, we present an explicit formula for the g-angle between two subspaces of ℓp spaces.
Author keywords
Indexed keywords
g-Angles,Normed spaces,Subspaces,ℓp Spaces
Funding details
Acknowledgements The research is supported by ITB Research and Innovation Program no. 107r/I1.C01/PL/2017. The authors thank the referee for his/her useful comments and suggestions on the earlier version of this paper.