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On p-convergent Operators on Banach Lattices

Acta Mathematica Sinica, English Series, 2017
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Zeekoei, Elroy D., Fourie, Jan H.
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Positively limited p-convergent and weak* positively p-convergent operators

Operators and Matrices
Summary: The purpose of this article is to study two classes of operators, which we call positively limited \(p\)-convergent operators, and weak\(^*\) positively \(p\)-convergent operators. We discuss the relationship between these two classes of operators, and other known classes of operators such as \(p\)-convergent operators, limited \(p ...
Ardakani, H., Amjadi, Kh.
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On unconditionally p -summing and weakly p -convergent polynomials

Archiv der Mathematik, 1998
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Junek, Heinz, Matos, Mario C.
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Some characterizations of almost p-convergent operators and applications

Journal of Mathematical Analysis and Applications, 2023
The concept of \( p \)-convergent operators originates from [\textit{J. M. F. Castillo} and \textit{F. Sánchez}, Rev. Mat. Univ. Complutense Madr. 6, No. 1, 43--59 (1993; Zbl 0807.46033)]. For \( 1 \le p \le \infty \), a bounded operator \( T \) between Banach spaces is defined as \( p \)-convergent if it maps weakly \( p \)-summable sequences to norm ...
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Almost Dunford–Pettis p-convergent operators

Advances in Operator Theory
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Ardakani, Halimeh, Vali, Fateme
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OnL p-convergence ofU-statistics

Annals of the Institute of Statistical Mathematics, 1974
For a kernel belonging toL p-space,p>1, the rate of convergence of Hoeffding's [5]U-statistic to its expectation is studied; this includes as a special case a similar result on the sample mean previously studied by Chung [3]. Also, anL p-convergence result of Pyke and Root [8] on the sample partial sum is extended toU ...
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L p -convergence of Lagrange interpolation on the semiaxis

Acta Mathematica Hungarica, 2008
The authors study the approximation of functions defined on the unbounded interval \({\mathbb R}^+\), by means of Lagrange polynomials in weighted \(L^p\) spaces. They show their convergence in these spaces. These results can be used in the projection methods in order to approximate the solution of some functional equations.
LAURITA, Concetta   +1 more
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Lacunary Strong (A σ , p)-Convergence

Czechoslovak Mathematical Journal, 2005
The definition of lacunary strongly convergence is extended to the definition of lacunary strong (Aσ, p)-convergence with respect to invariant mean when A is an infinite matrix and p = (pi) is a strictly positive sequence. We study some properties and inclusion relations.
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On p-convergent sequences and p-Cauchy sequences in fuzzy metric spaces

Fuzzy Sets and Systems, 2023
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Li, Changqing, Zhang, Yanlan
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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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