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Limited $p$-converging operators and relation with some geometric properties of Banach spaces

Commentationes Mathematicae Universitatis Carolinae, 2022
Let \(X\) and \(Y\) be Banach spaces and \(1\le p\le\infty\). A bounded linear operator \(T:X\to Y\) is called \(p\)-converging if it transfers weakly \(p\)-summable sequences, i.e., sequences \((x_n)\subset X\) with \((\left)\in\ell_p\) for all \(x^*\in X^*\), into norm null sequences. A sequence \((x_n)\subset X\) is weakly \(p\)-convergent to \(x\in
Dehghani, Mohammad B.   +1 more
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Weighted L p convergence of hermite interpolation of higher order

Acta Mathematica Hungarica, 1992
Let \(n\) be a positive integer, and let \(-1< x_{nn}(w)
Vértesi, P., Xu, Y.
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On Weighted L p -Convergence of Certain Lagrange Interpolation

Proceedings of the American Mathematical Society, 1992
Let \(w(x):=w^{(\alpha,\beta)}(x)=(1-x)^ \alpha (1+x)^ \beta\) and let \[ x:\;-1\leq x_ ...
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p-Converging operators and Dunford–Pettis property of order p

Journal of Mathematical Analysis and Applications, 2018
Let \(X\) be a Banach space and, for \(1\leq p
Chen, Dongyang   +2 more
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On almost limited p-convergent operators on Banach lattices

Positivity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ardakani, H., Vali, F.
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On weighted $$\ell ^p$$- convergence of Fourier series: a variant of theorems of Wiener and Lévy

Advances in Operator Theory, 2020
A classical theorem of Wiener says that if a continuous function on the unit circle has absolutely convergent Fourier series and vanishes nowhere, then the reciprocal also has absolutely convergent Fourier series. Its generalisation, the Wiener-Lévi theorem, says that analytic functions act on such functions: if \(\varphi\) is analytic near range \(f\)
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Lacunary strong \((A_{\sigma },p)\)-convergence.

2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Four dimensional matrix characterization P-convergence fields of summability methods

Applied Mathematics and Computation, 2013
In 1945 Agnew presented two dimensional matrix characterization of convergent fields. The goal of this paper is to present four dimensional matrix characterization of P-convergent field. This will be accomplished by the presentation of the following multiple dimensional analogues of Agnew's theorem.
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One-dimensional self-adaptive interpolations in the p-convergence procedure

Computer Methods in Applied Mechanics and Engineering, 1983
Abstract In one-dimensional Lagrange interpolation, the conventional and self-adaptive trial functions are examined in a unified manner. The finite element solutions are theoretically independent of the basis choice and the simple matrix assembly can be employed for any basis unless the assembly admissibility is crimed. The sparse polynomial is then
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