Results 21 to 30 of about 770,686 (284)

Norm of Hilbert operator on sequence spaces

open access: yesJournal of Inequalities and Applications, 2020
In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.
Hadi Roopaei
doaj   +1 more source

Probabilistic Norms for Linear Operators

open access: yesJournal of Mathematical Analysis and Applications, 1998
Let \(V_1\) and \(V_2\) be probabilistic normed (PN) spaces, and \(L\) the space of all linear operators \(T: V_1\to V_2\). The authors study the following subsets of \(L\): \(L_b\) probabilistic bounded operators, \(L_c\) continuous operators and \(L_{bc}= L_b\cap L_c\). They work with the Sibley metric on the space of distribution functions.
B. Lafuerza Guillén   +2 more
openaire   +5 more sources

The norm of a truncated Toeplitz operator [PDF]

open access: yes, 2010
We prove several lower bounds for the norm of a truncated Toeplitz operator and obtain a curious relationship between the $H^2$ and $H^{\infty}$ norms of functions in model spaces.
Garcia, Stephan Ramon, Ross, William T.
openaire   +2 more sources

Unitarily invariant norms on operators

open access: yesActa Scientiarum Mathematicarum, 2022
Let $f$ be a symmetric norm on ${\mathbb R}^n$ and let ${\mathcal B}({\mathcal H})$ be the set of all bounded linear operators on a Hilbert space ${\mathcal H}$ of dimension at least $n$. Define a norm on ${\mathcal B}({\mathcal H})$ by $\|A\|_f = f(s_1(A), \dots, s_n(A))$, where $s_k(A) = \inf\{\|A-X\|: X\in {\mathcal B}({\mathcal H}) \hbox{ has rank ...
Chan, Jor-Ting, Li, Chi-Kwong
openaire   +2 more sources

On absolutely norm attaining operators [PDF]

open access: yesProceedings - Mathematical Sciences, 2019
Submitted to a ...
D Venku Naidu, G Ramesh
openaire   +3 more sources

Norm and Essential Norm of an Integral-Type Operator from the Dirichlet Space to the Bloch-Type Space on the Unit Ball

open access: yesAbstract and Applied Analysis, 2010
Operator norm and essential norm of an integral-type operator, recently introduced by this author, from the Dirichlet space to the Bloch-type space on the unit ball in ℂ𝑛 are calculated here.
Stevo Stević
doaj   +1 more source

Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces

open access: yesFixed Point Theory and Applications, 2018
In this paper, we propose two strongly convergent algorithms which combines diagonal subgradient method, projection method and proximal method to solve split equilibrium problems and split common fixed point problems of nonexpansive mappings in a real ...
Anteneh Getachew Gebrie   +1 more
doaj   +1 more source

Directional operators and mixed norms [PDF]

open access: yesPublicacions Matemàtiques, 2002
We present a survey of mixed norm inequalities for several directional operators, namely, directional Hardy-Littlewood maximal functions and Hilbert transforms (both appearing in the method of rotations of Calder'on and Zygmund), X-ray transforms, and directional fractional operators related to Riesz type potentials with variable kernel.
openaire   +4 more sources

Inequalities for the fractional convolution operator on differential forms

open access: yesJournal of Inequalities and Applications, 2018
The purpose of this paper is to derive some Coifman type inequalities for the fractional convolution operator applied to differential forms. The Lipschitz norm and BMO norm estimates for this integral type operator acting on differential forms are also ...
Zhimin Dai, Huacan Li, Qunfang Li
doaj   +1 more source

On well‐definability of the L∞/L2 Hankel operator and detection of all the critical instants in sampled‐data systems

open access: yesIET Control Theory & Applications, 2021
Because sampled‐data systems have h‐periodic nature with the sampling period h, an arbitrary Θ∈[0,h) is taken and the quasi L∞/L2 Hankel operator at Θ is defined as the mapping from L2(−∞,Θ) to L∞[Θ,∞). Its norm called the quasi L∞/L2 Hankel norm at Θ is
Tomomichi Hagiwara   +2 more
doaj   +1 more source

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