Tauberian theorems for Cesàro sums (addendum and corrigendum)

M. S. Rangachari

Displaying similar documents to “Tauberian theorems for Cesàro sums (addendum and corrigendum)”

A quantified Tauberian theorem for sequences

David Seifert (2015)

Studia Mathematica

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The main result of this paper is a quantified version of Ingham's Tauberian theorem for bounded vector-valued sequences rather than functions. It gives an estimate on the rate of decay of such a sequence in terms of the behaviour of a certain boundary function, with the quality of the estimate depending on the degree of smoothness this boundary function is assumed to possess. The result is then used to give a new proof of the quantified Katznelson-Tzafriri theorem recently obtained by...

On a Tauberian theorem of Keldysh.

Grishin, A.F., Poedintseva, I.V. (2004)

Zapiski Nauchnykh Seminarov POMI

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Tauberian Retrieval Theory

Časlav V. Stanojević, Vera B. Stanojević (2002)

Publications de l'Institut Mathématique

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Summability of double sequences by weighted mean methods and Tauberian conditions for convergence in Pringsheim's sense.

Móricz, Ferenc, Stadtmüller, U. (2004)

International Journal of Mathematics and Mathematical Sciences

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A Tauberian theorem for series of orthogonal rational functions.

Videnskiĭ, I.V. (2004)

Zapiski Nauchnykh Seminarov POMI

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A Tauberian theorem for the Ingham summation method

Vytas Zacharovas (2011)

Acta Arithmetica

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Tauberian conditions for a general limitable method.

C̣anak, İbrahim, Totur, Ümit (2006)

International Journal of Mathematics and Mathematical Sciences

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Examples of tauberian operators

Teresa Alvarez, Manuel González Ortiz (1989)

Extracta Mathematicae

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A Generalization of Tauber's Theorem and Some Tauberian Constants (IV).

R.T. Rajagopal (1974)

Mathematische Zeitschrift

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Tauberian operators on $L_{1} (μ)$ spaces

Manuel González, Antonio Martínez-Abejón (1997)

Studia Mathematica

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We characterize tauberian operators $T : L_{1} (μ) \to Y$ in terms of the images of disjoint sequences and in terms of the image of the dyadic tree in $L_{1} [0, 1]$ . As applications, we show that the class of tauberian operators is stable under small norm perturbations and that its perturbation class coincides with the class of all weakly precompact operators. Moreover, we prove that the second conjugate of a tauberian operator $T : L_{1} (μ) \to Y$ is also tauberian, and the induced operator $T ̃ : L_{1} (μ) * * / L_{1} (μ) \to Y * * / Y$ is an isomorphism into. Also, we show that...