A Note on $g$-Angle between Two Subspaces in a Normed Space
Muhammad Nur, Hendra Gunawan
Abstract
Open-access reader
Muhammad Nur, Hendra Gunawan
Abstract
Open-access reader
We introduce a new $2$-norm on a normed space using a semi-inner product $g$ on the space. Using the $2$-norm, we propose a formula for the $g$-angle between $2$-dimensional subspaces in the space. Our formula serves as a revision of the one proposed by Nur {\it et al.} \cite{Nur1}.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We introduce a new $2$-norm on a normed space using a semi-inner product $g$ on the space. Using the $2$-norm, we propose a formula for the $g$-angle between $2$-dimensional subspaces in the space. Our formula serves as a revision of the one proposed by Nur {\it et al.} \cite{Nur1}.
Key concepts: Linear subspace, Normed vector space, Inner product space, Norm (philosophy), Mathematics, Space (punctuation), Dual norm, Product (mathematics)