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The dual space, the transposed mapping, and the contravariant and the covariant vectors of the general linear group

open access: yes上海师范大学学报. 自然科学版, 2022
In this paper,the concepts of the dual space and the transposed mapping in linear algebra were enunciated,which were not well known by physicists. Based on the proposed concepts,two kinds of vectors named as contravariant vector and covariant vector for ...
TU Hong, FENG Chengtian
doaj   +1 more source

WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

open access: yesПроблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal   +3 more
doaj   +1 more source

Dual Space Latent Representation Learning for Image Representation

open access: yesMathematics, 2023
Semi-supervised non-negative matrix factorization (NMF) has achieved successful results due to the significant ability of image recognition by a small quantity of labeled information.
Yulei Huang   +3 more
doaj   +1 more source

Dual Spaces of Multiparameter Local Hardy Spaces [PDF]

open access: yesJournal of Function Spaces, 2021
In this paper, we study the duality theory of the multiparameter local Hardy spaceshpℝn1×ℝn2, and we prove thathpℝn1×ℝn2∗=cmopℝn1×ℝn2, wherecmopℝn1×ℝn2are defined by discrete Carleson measure. Moreover, we discuss the relationship amongcmopℝn1×ℝn2,Lippℝn1×ℝn2, and rectanglecmorectpℝn1×ℝn2.
Wei Ding, Feng Yu
openaire   +3 more sources

Applications of uniform boundedness principle to matrix transformations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
Using the uniform boundedness principle of Maddox, we characterize matrix transformations from the space $(\ell_{p}) _{T}$ to the spaces $m(\phi )$ and $n(\phi )$ for the case $1\leq p\leq \infty$, which correspond to bounded linear operators.
M.A. Sarıgöl
doaj   +1 more source

Observations on the Separable Quotient Problem for Banach Spaces

open access: yesAxioms, 2020
The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
doaj   +1 more source

Target-aware Dual Adversarial Learning and a Multi-scenario Multi-Modality Benchmark to Fuse Infrared and Visible for Object Detection [PDF]

open access: yesComputer Vision and Pattern Recognition, 2022
This study addresses the issue of fusing infrared and visible images that appear differently for object detection. Aiming at generating an image of high visual quality, previous approaches discover commons underlying the two modalities and fuse upon the ...
Jinyuan Liu   +6 more
semanticscholar   +1 more source

NEW APPROACHES ON DUAL SPACE [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2020
In this paper, we give how to define the basic concepts of differential geometry on Dual space. For this, dual tangent vectors that have p as dual point of application are defined. Then, the dual analytic functions defined by Dimentberg are examined in detail, and by using the derivative of the these functions, dual directional derivatives and dual ...
Durmaz, Olgun   +2 more
openaire   +4 more sources

Dual Space Preconditioning for Gradient Descent [PDF]

open access: yesSIAM Journal on Optimization, 2019
The conditions of relative smoothness and relative strong convexity were recently introduced for the analysis of Bregman gradient methods for convex optimization.
Chris J. Maddison   +3 more
semanticscholar   +1 more source

LW∗W-property and topological centers of banach algebras [PDF]

open access: yesJournal of Hyperstructures, 2012
In this paper we introduce the new concepts LW∗Wproperty and RW∗W-property for a Banach algebra A. Under certain conditions, we show that if A has LW∗W-property and RW∗W- property, then A is Arens regular.
K. Haghnejad Azar
doaj   +1 more source

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