Essential supremum norm differentiability [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 The points of Gateaux and Fréchet differentiability in L∞(μ,X) are obtained, where (Ω,∑,μ) is a finite measure space and X is a real Banach space. An application of these results is given to the space B(L1(μ,ℝ),X) of all bounded linear operators from L1 ...
I. E. Leonard, K. F. Taylor
doaj +3 more sources
Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces [PDF]
Journal of Inequalities and Applications, 2017 We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.
Stevo Stević
doaj +2 more sources
Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space [PDF]
Sahand Communications in Mathematical Analysis, 2022 Let $H(\mathbb{D})$ be the space of all analytic functions on the open unit disc $\mathbb{D}$ in the complex plane $\mathbb{C}$. In this paper, we investigate the boundedness and compactness of the generalized integration operator$$I_{g,\varphi}^{(n)}(f)(
Fariba Alighadr +2 more
doaj +2 more sources
Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we give some estimates of the essential norm for generalized weighted composition operators from the Bloch space to the Zygmund space. Moreover, we give a new characterization for the boundedness and compactness of the operator.
Qinghua Hu +3 more
doaj +2 more sources
The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn [PDF]
Abstract and Applied Analysis, 2010 In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B) (p>1)
Luo Luo, Yang Xuemei
doaj +2 more sources
Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball [PDF]
Axioms, 2023 The boundedness of a sum-type operator between weighted-type spaces is characterized and its essential norm is estimated.
Stevo Stević, Sei-Ichiro Ueki
doaj +2 more sources
Corrigendum to: Essential normality, essential norms and hyperrigidity [PDF]
, 2015 In our paper "Essential normality, essential norms and hyperrigidity" we claimed that the restriction of the identity representation of a certain operator system (constructed from a polynomial ideal) has the unique extension property, however the justification we gave was insufficient.
Matthew Kennedy, Orr Moshe Shalit
openalex +3 more sources
On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces [PDF]
Journal of Function Spaces, 2019 In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator ...
Julio C. Ramos-Fernández +2 more
doaj +2 more sources
Inequalities Involving Essential Norm Estimates of Product-Type Operators [PDF]
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
doaj +2 more sources
Essential Norm of Products of Volterra-Type Operators and Composition Operators on Iterated Banach-Type Spaces [PDF]
AxiomsLet 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 +2 more
doaj +2 more sources