Results 11 to 20 of about 90,779 (292)

Exploring novel semi-inner product reproducing Kernels in Banach space for robust Kernel methods. [PDF]

open access: yesPLoS ONE
Kernel methods are widely applied across various domains; however, structural limitations of reproducing kernels in Hilbert spaces pose significant challenges.
Yi Ding, Ying Zhao, Yan Pei
doaj   +2 more sources

Inner synchronization of controlled multi-valued logical networks. [PDF]

open access: yesPLoS ONE
This paper studies the inner synchronization problem of multi-valued logical networks by introducing an external single node, which is also called the driving node.
Yunyun Deng, Xiaolong Qi, Yi Liang
doaj   +2 more sources

Numerical Range of Two Operators in Semi-Inner Product Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2012
In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi-inner product spaces. The inclusion relations between numerical range, approximate point spectrum, compression spectrum, eigenspectrum, and ...
N. K. Sahu, C. Nahak, S. Nanda
doaj   +2 more sources

Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
doaj   +2 more sources

Complimentarity problems in semi-inner product spaces

open access: yesApplied Mathematics Letters, 1990
AbstractIn this paper, we consider and study the complementary problems in the setting of semi-inner product spaces. It has been shown that these problems can be formulated as fixed point problems using the concept of change of variables. This formulation enables us to suggest iterative algorithms for complementarity problems.
Al-Thukair, Fawzi A.   +1 more
openaire   +2 more sources

Some Gr¨uss Type Inequalities for n-Tuples of Vectors in Semi-Inner Modules

open access: yesJournal of Mathematical Extension, 2014
. Some Gr¨uss type inequalities in semi-inner product modules over C∗-algebras and H∗-algebras for n-tuples of vectors are established. Also we give their natural applications for the approximation of the discrete Fourier and the Melin transforms in ...
A. G. Ghazanfari∗, B. Ghazanfari
doaj   +1 more source

On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces  
Mohammadreza Foroutan
doaj   +1 more source

Vector semi-inner products

open access: yesInvolve, a Journal of Mathematics, 2022
We formalize the notion of vector semi-inner products and introduce a class of vector seminorms which are built from these maps. The classical Pythagorean theorem and parallelogram law are then generalized to vector seminorms that have a geometric mean closed vector lattice for codomain.
Rose, Kyle   +2 more
openaire   +4 more sources

On $(n,m)$-$A$-normal and $(n,m)$-$A$-quasinormal semi-Hilbertian space operators [PDF]

open access: yesMathematica Bohemica, 2022
The purpose of the paper is to introduce and study a new class of operators on semi-Hilbertian spaces, i.e. spaces generated by positive semi-definite sesquilinear forms. Let ${\mathcal H}$ be a Hilbert space and let $A$ be a positive bounded operator on
Samir Al Mohammady   +2 more
doaj   +1 more source

Bombieri-Type Inequalities and Their Applications in Semi-Hilbert Spaces

open access: yesAxioms, 2023
This paper presents new results related to Bombieri’s generalization of Bessel’s inequality in a semi-inner product space induced by a positive semidefinite operator A.
Najla Altwaijry   +2 more
doaj   +1 more source

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