Results 81 to 90 of about 770,686 (284)

A General Norm on Extension of a Hilbert’s Type Linear Operator

open access: yesJournal of Mathematical Extension, 2010
The main purpose of this paper is to study a general norm on extension of a Hilbert’s type linear operator in the continuous and discrete form. In addition to expressing the norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞), a ...
Z. Jokar, J. Behboodian
doaj  

On the Norm of Certain Weighted Composition Operators on the Hardy Space

open access: yesAbstract and Applied Analysis, 2009
We obtain a representation for the norm of certain compact weighted composition operator 𝐶𝜓,𝜑 on the Hardy space 𝐻2, whenever 𝜑(𝑧)=𝑎𝑧+𝑏 and 𝜓(𝑧)=𝑎𝑧−𝑏. We also estimate the norm and essential norm of a class of noncompact weighted composition operators ...
M. Haji Shaabani, B. Khani Robati
doaj   +1 more source

Longitudinal genome‐wide aneuploidy measurements in circulating cell‐free DNA to predict lack of benefit from pembrolizumab in patients with metastatic urothelial cancer

open access: yesMolecular Oncology, EarlyView.
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi   +14 more
wiley   +1 more source

Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]

open access: yes, 2013
A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
NATALIA KOPTEVA (12353197)   +5 more
core   +2 more sources

Norms of Hankel Operators on a Bidisc [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
In the Hardy space on the bidisc T 2 {T^2}
openaire   +2 more sources

Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization

open access: yesMolecular Oncology, EarlyView.
In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu   +13 more
wiley   +1 more source

Density and dentability in norm-attainable classes

open access: yesScientific African
We establish the norm-denseness of the norm-attainable class NA(H) in the Banach algebra B(H), which consists of all bounded linear operators on a complex Hilbert space H. Specifically, for every O∈NA(H) and each ϵ>0, there exists O′∈B(H) such that ‖O−O′‖
Joseph Owuor   +3 more
doaj   +1 more source

A STABLE METHOD FOR LINEAR EQUATION IN BANACH SPACES WITH SMOOTH NORMS

open access: yesUral Mathematical Journal, 2018
A stable method for numerical solution of a linear operator equation in reflexive Banach spaces is proposed. The operator and the right-hand side of the equation are assumed to be known approximately.
Andrey A. Dryazhenkov   +1 more
doaj   +1 more source

A natural space of functions for the Ruelle operator theorem [PDF]

open access: yes, 2007
We study a new space, $R(X)$, of real-valued continuous functions on the space $X$ of sequences of zeros and ones. We show exactly when the Ruelle operator theorem holds for such functions.
Walters, Peter
core   +1 more source

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