Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
The skew constant and orthogonalities in Banach spaces
View through CrossRef
In normed spaces, Birkhoff orthogonality and isosceles orthogonality can be used to characterize space structures, and many scholars have introduced geometric constants to quantitatively describe the relationship between these two types of orthogonality. This paper introduces a new orthogonal relationship – Skew orthogonality – and proposes a new geometric constant to measure the “distance” of difference between skew orthogonality and Birkhoff orthogonality in normed spaces. In the end, we provide some examples of specific spaces.
Ptolemy Scientific Research Press
Title: The skew constant and orthogonalities in Banach spaces
Description:
In normed spaces, Birkhoff orthogonality and isosceles orthogonality can be used to characterize space structures, and many scholars have introduced geometric constants to quantitatively describe the relationship between these two types of orthogonality.
This paper introduces a new orthogonal relationship – Skew orthogonality – and proposes a new geometric constant to measure the “distance” of difference between skew orthogonality and Birkhoff orthogonality in normed spaces.
In the end, we provide some examples of specific spaces.
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...
Universal decomposed Banach spaces
Universal decomposed Banach spaces
AbstractLet$${\mathcal {B}}$$Bbe a class of finite-dimensional Banach spaces. A$${\mathcal {B}}$$B-decomposed Banach spaceis a Banach spaceXendowed with a family$${\mathcal {B}}_X\...
On characterizations of a some classes of Schauder frames in Banach spaces
On characterizations of a some classes of Schauder frames in Banach spaces
Abstract
In this paper, we prove the following results. There exists a Banach space without basis which has a Schauder frame. There exists an universal Banach space B (resp...
Skew-braces and ????-braces
Skew-braces and ????-braces
Abstract
Skew-braces are ring-like objects arising in connection with Hopf–Galois theory and set-theoretic solutions ???? to the Yang–Baxter equation.
Interactions b...
A comprehensive review of time skew background calibration and mitigation techniques in high‐speed time‐interleaved analog‐to‐digital converters
A comprehensive review of time skew background calibration and mitigation techniques in high‐speed time‐interleaved analog‐to‐digital converters
AbstractA significant challenge in designing high‐speed time‐interleaved ADCs (TI‐ADCs) is the presence of time skew mismatch, resulting from uneven sampling across different chann...
Load Sharing in Transversely Post-Tensioned Pre-cast Box Girder Skew Bridges
Load Sharing in Transversely Post-Tensioned Pre-cast Box Girder Skew Bridges
Railway operators often use precast concrete box girders for railway bridges. In many cases, these box girders are placed side by side without a concrete deck on top. Sometimes the...
Load Sharing in Transversely Post-Tensioned Pre-cast Box Girder Skew Bridges
Load Sharing in Transversely Post-Tensioned Pre-cast Box Girder Skew Bridges
Railway operators often use precast concrete box girders for railway bridges. In many cases, these box girders are placed side by side without a concrete deck on top. Sometimes th...
On a few non-linear and isometric aspects of asymptotic geometry of Banach spaces
On a few non-linear and isometric aspects of asymptotic geometry of Banach spaces
Sur quelques aspects non-linéaires et isométriques de la géométrie asymptotique des espaces de Banach
Cette thèse est consacrée à l'étude de la géométrie des espace...