On a Tauberian theorem of Keldysh.
Grishin, A.F., Poedintseva, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Grishin, A.F., Poedintseva, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Časlav V. Stanojević, Vera B. Stanojević (2002)
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Videnskiĭ, I.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Teresa Alvarez, Manuel González Ortiz (1989)
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David Seifert (2015)
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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...
C̣anak, İbrahim, Totur, Ümit (2006)
International Journal of Mathematics and Mathematical Sciences
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Manuel González (1990)
Extracta Mathematicae
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Tauberian operators, which appeared in response to a problem in summability [GaW, KW] have found application in several situations: factorization of operators [DFJP], preservation of isomorphic properties of Banach spaces [N, NR], equivalence between the Radon-Nikodym property and the Krein-Milman property [Sch], and generalized Fredholm operators [Ta, Y]. This paper is a survey of the main properties and applications of Tauberian operators.
R.T. Rajagopal (1974)
Mathematische Zeitschrift
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M. S. Rangachari (1969)
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K. Mattila (1996)
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