Results 51 to 60 of about 3,985,116 (192)

The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces

Demonstratio Mathematica
We calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos, Rivera-Sarmiento María A., Salas-Brown Margot   +2 more
doaj   +1 more source

Essential Norm of Composition Operators on Banach Spaces of Hölder Functions

Abstract and Applied Analysis, 2011
Let (X,d) be a pointed compact metric space, let ...
A. Jiménez-Vargas, Miguel Lacruz, Moisés Villegas-Vallecillos   +2 more
doaj   +1 more source

Weighted Composition Operators from Besov Zygmund-Type Spaces into Zygmund-Type Spaces

Journal of Function Spaces, 2020
The boundedness, compactness, and essential norm of weighted composition operators from Besov Zygmund-type spaces into Zygmund-type spaces are investigated in this paper.
Xiangling Zhu, Nanhui Hu
doaj   +1 more source

Essential norm estimates for Hankel operators on convex domains in $\mathbb{C}^2$ [PDF]

, 2015
Let $\Omega\subset \mathbb{C}^2$ be a bounded convex domain with $C^1$-smooth boundary and $\varphi\in C^1(\overline{\Omega})$ such that $\varphi$ is harmonic on the nontrivial disks in the boundary. We estimate the essential norm of the Hankel operator $
Z. C̆uc̆ković, Sonmez Sahutoglu
semanticscholar   +1 more source

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

Abstract 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

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

Open Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
doaj   +1 more source

Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces

Axioms
Let H(D) be the set of analytic functions on the open unit disk D. For n∈N0:=N∪{0}, define the iterated weighted-type Banach space Vn:=f∈H(D):supz∈D(1−|z|2)|f(n)(z)|
Rabab Alyusof, Shams Alyusof, Nacir Hmidouch   +2 more
doaj   +1 more source

A Linear Composition Operator on the Bloch Space

Mathematics
Let n∈N0, ψ be an analytic self-map on D and u be an analytic function on D. The single operator Du,ψn acting on various spaces of analytic functions has been a subject of investigation for many years.
Xiangling Zhu, Qinghua Hu
doaj   +1 more source

Multiplication Operators between Lipschitz-Type Spaces on a Tree

International Journal of Mathematics and Mathematical Sciences, 2011
Let ℒ be the space of complex-valued functions 𝑓 on the set of vertices 𝑇 of an infinite tree rooted at 𝑜 such that the difference of the values of 𝑓 at neighboring vertices remains bounded throughout the tree, and let ℒ𝐰 be the set of functions 𝑓∈ℒ such
Robert F. Allen, Flavia Colonna, Glenn R. Easley   +2 more
doaj   +1 more source

The associated weight and the essential norm of weighted composition operators [PDF]

, 2022
María T. Malavé Ramírez, Julio C. Ramos Fernández   +1 more
openalex   +1 more source