Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A notion of Dg-orthogonality and Dg-angle in normed spaces
View through CrossRef
The purpose of this article is to formulate the Dg-orthogonality using a 2-norm in normed spaces. We will prove the relations between the Dg-orthogonality and the g-orthogonality. Moreover, we study the Dg-angle and its properties in normed spaces. We also prove the relations between the g-angle and the Dg-angle.
Title: A notion of Dg-orthogonality and Dg-angle in normed spaces
Description:
The purpose of this article is to formulate the Dg-orthogonality using a 2-norm in normed spaces.
We will prove the relations between the Dg-orthogonality and the g-orthogonality.
Moreover, we study the Dg-angle and its properties in normed spaces.
We also prove the relations between the g-angle and the Dg-angle.
Related Results
A Touch of Space Weather - Outreach project for visually impaired students
A Touch of Space Weather - Outreach project for visually impaired students
<p><em><span data-preserver-spaces="true">'A Touch of Space Weather' is a project that brings space weather science into...
On Carlsson type orthogonality and characterization of inner product spaces
On Carlsson type orthogonality and characterization of inner product spaces
In an inner product space, two vectors are orthogonal if their inner product
is zero. In a normed space, numerous notions of orthogonality have been
introduced via equivalent...
The skew constant and orthogonalities in Banach spaces
The skew constant and orthogonalities in Banach spaces
In normed spaces, Birkhoff orthogonality and isosceles orthogonality can be used to characterize space structures, and many scholars have introduced geometric constants to quantita...
Intuitionistic Anti Fuzzy Normal Subrings over Normed Rings
Intuitionistic Anti Fuzzy Normal Subrings over Normed Rings
In this paper, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and generalize various related properties. We extend the notion of intuitionistic fuzzy no...
Study on Orthogonal Sets for Birkhoff Orthogonality
Study on Orthogonal Sets for Birkhoff Orthogonality
We introduce the notion of orthogonal sets for Birkhoff orthogonality, which we will call Birkhoff orthogonal sets in this paper. As a generalization of orthogonal sets in Hilbert ...
Gradual transitivity in orthogonality spaces of finite rank
Gradual transitivity in orthogonality spaces of finite rank
AbstractAn orthogonality space is a set together with a symmetric and irreflexive binary relation. Any linear space equipped with a reflexive and anisotropic inner product provides...
Comparative Results on Stability Analysis for Three Dimensional Functional Equations
Comparative Results on Stability Analysis for Three Dimensional Functional Equations
This study investigates the stability of a three-dimensional cubic functional equation within several mathematical frameworks, including $(n, \beta)$-normed spaces, non-Archimedean...
A Revisit to n-Normed Spaces Through Its Quotient Spaces
A Revisit to n-Normed Spaces Through Its Quotient Spaces
In this paper, we define several types of continuous mapping in $n$-normed spaces with respect to the norms of its quotient spaces. Then, we show that all types of the continuity a...