On a result of K.M. Saidukov
Jun, Kunás K. (1971)
Portugaliae mathematica
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Jun, Kunás K. (1971)
Portugaliae mathematica
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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Mario O. González (1973)
Collectanea Mathematica
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I. J. Maddox (1974)
Compositio Mathematica
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B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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F. Móricz, K. Tandori (1986)
Studia Mathematica
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P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
Studia Mathematica
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We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.
Takafumi Murai (1981)
Annales de l'institut Fourier
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The purpose of this paper is to establish a theorem which answers a conjecture of Paley on the distribution of values of Hadamard lacunary series and which is useful to study the Peano curve property of such series.