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The Essential Norm of a Composition Operator

The Annals of Mathematics, 1987
Let \(\Omega\subset{\mathbb{C}}^ n\) be a domain and \(\Phi: \Omega\to \Omega\) a mapping. The operator \(T: f\to f\circ \Phi\) is called a composition operator. The subject of composition operators represents a fertile arena for the interaction of operator theory, hard analysis, and geometry.
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Essential Norm of Toeplitz Operators on the Fock Spaces

Integral Equations and Operator Theory, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Zhangjian, Lu, Jin
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Against essential normativity of the mental

Philosophical Studies, 2007
A number of authors have recently developed and defended various versions of ‘normative essentialism’ about the mental, i.e. the claim that propositional attitudes are constitutively or essentially governed by normative principles. I present two arguments to the effect that this claim cannot be right.
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The essential norm of the integral type operators

Banach Journal of Mathematical Analysis, 2019
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Xiaoman Liu   +3 more
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Essentialism and Nonnaturalist Normative Supervenience

Topoi, 2017
In this essay I defend a kind of nonnaturalist normative supervenience, grounded in the essences of things. Essentialist theories, in fact, give us the tools to treat the nexus of normative supervenience as a nexus of metaphysical necessity, holding between the normative and the natural.
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Essential norm of weighted composition operators

Analysis, 2018
Abstract In the present paper we characterize the compact, invertible, Fredholm and closed range weighted composition operators on Cesàro function spaces. We also make an effort to compute the essential norm of weighted composition operators.
Raj, Kuldip, Sharma, Charu
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THE ESSENTIAL NORMS OF COMPOSITION OPERATORS ON WEIGHTED DIRICHLET SPACES

Bulletin of the Australian Mathematical Society, 2018
Let $\unicode[STIX]{x1D711}$ be an analytic self-map of the unit disc. If $\unicode[STIX]{x1D711}$ is analytic in a neighbourhood of the closed unit disc, we give a precise formula for the essential norm of the composition operator $C_{\unicode[STIX]{x1D711}}$ on the weighted Dirichlet spaces ${\mathcal{D}}_{\unicode[STIX]{x1D6FC}}$ for $\unicode[STIX]{
YUFEI LI, YUFENG LU, TAO YU
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The essential norm of an operator is not self-dual

Israel Journal of Mathematics, 1995
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Norms and Essential Norms of the Singular Integral Operator with Cauchy Kernel on Weighted Lebesgue Spaces

Integral Equations and Operator Theory, 2010
Let \(\mathbb T\) be the unit circle, \(W\) some weight function on \(\mathbb T\), \(L^2(W)\) the Lebesgue space on \(\mathbb T\) with norm \(\left\| f\right\|_{W}^2= \int_{\mathbb T}| f|^2W\,dm\), and \[ Sf(\zeta)=\frac1{\pi i}\int_{\mathbb T}\frac{f(\eta)}{\eta-\zeta}d\eta \] be the singular integral operator on \(L^2(W)\), understood in the sense of
Nakazi, Takahiko, Yamamoto, Takanori
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Might We Be Essentially Normative Animals?

2019
Abstract This chapter poses the question of whether humans might be essentially normative animals, i.e. whether traditionally prominent specificities of the human life form—our linguistic, social, and moral “natures”—might ground in a basic susceptibility, or proclivity to the deontic regulation of thought and behaviour: the “normative ...
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