Results 11 to 20 of about 442,383 (279)

Norm inequalities in operator ideals

open access: yesJournal of Functional Analysis, 2008
23 ...
Gabriel Larotonda
openaire   +6 more sources

A note on Hardy-Littlewood maximal operators

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we will prove that, for 1 < p < ∞ $1 ...
Mingquan Wei   +3 more
doaj   +1 more source

Norm-Attaining Tensors and Nuclear Operators [PDF]

open access: yesMediterranean Journal of Mathematics, 2022
25 pages.
Sheldon Dantas   +3 more
openaire   +5 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

Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices

open access: yesAbstract and Applied Analysis, 2015
Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed.
Xiaoyu Jiang, Kicheon Hong
doaj   +1 more source

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

On absolutely norm attaining operators [PDF]

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

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

Norm Comparison Estimates for the Composite Operator

open access: yesJournal of Function Spaces, 2014
This paper obtains the Lipschitz and BMO norm estimates for the composite operator 𝕄s∘P applied to differential forms. Here, 𝕄s is the Hardy-Littlewood maximal operator, and P is the potential operator.
Xuexin Li, Yong Wang, Yuming Xing
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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