@Article{CMR-27-4, author = {Zhizhi, Chen and Wei, Lin and Lü-Lin, Luo}, title = {Projections, Birkhoff Orthogonality and Angles in Normed Spaces}, journal = {Communications in Mathematical Research }, year = {2011}, volume = {27}, number = {4}, pages = {378--384}, abstract = {
Let $X$ be a Minkowski plane, i.e., a real two dimensional normed linear space. We use projections to give a definition of the angle $A_q(x, y)$ between two vectors $x$ and $y$ in $X$, such that $x$ is Birkhoff orthogonal to $y$ if and only if $A_q(x, y) = \frac{π}{2}$. Some other properties of this angle are also discussed.
}, issn = {2707-8523}, doi = {https://doi.org/2011-CMR-19081}, url = {https://global-sci.com/article/81888/projections-birkhoff-orthogonality-and-angles-in-normed-spaces} }