Results 11 to 20 of about 3,430,711 (291)

The essential norm of multiplication operators on $$L_p(\mu )$$ [PDF]

open access: yesAfrika Matematika, 2022
AbstractWe show that the formula for the essential norm of a multiplication operator on$$L_p$$Lp, for$$1<p<\infty $$1<p<∞, also holds for$$p=1$$p=1. We also provide a proof for the formula which works simultaneously for all$$p\in [1,\infty )$$p∈[1,∞).
Voigt, Jürgen, Jürgen Voigt
openaire   +3 more sources

Essential supremum norm differentiability [PDF]

open access: yesInternational 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

Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball

open access: yesAxioms, 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

Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞ [PDF]

open access: yesAbstract and Applied Analysis, 2014
In this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of ...
Shanli Ye
doaj   +2 more sources

Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space [PDF]

open access: yesJournal 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   +3 more sources

Inequalities Involving Essential Norm Estimates of Product-Type Operators

open access: yesJournal of Mathematics, 2021
Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
doaj   +2 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   +2 more sources

Essential norm resolvent estimates and essential numerical range

open access: yesJournal of Spectral Theory
The main result of this paper are novel two-sided estimates of the essential resolvent norm for closed linear operators T . We prove that the growth of \|(T-\lambda)^{-1}\|_{\textup{e}}
Nicolas Hefti, Christiane Tretter
openaire   +2 more sources

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

open access: yesDemonstratio 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   +2 more
doaj   +2 more sources

Essential Norm of Difference of Composition Operators from Weighted Bergman Spaces to Bloch-Type Spaces [PDF]

open access: yesJournal of Function Spaces, 2018
We compute upper and lower bounds for essential norm of difference of composition operators acting from weighted Bergman spaces to Bloch-type spaces.
Ram Krishan   +2 more
doaj   +2 more sources

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