On holomorphy in Banach spaces and absolute convergence of Fourier series
Matos, Mário C. (1988)
Portugaliae mathematica
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Matos, Mário C. (1988)
Portugaliae mathematica
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Jorge Mujica (1997)
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We show that if U is a balanced open subset of a separable Banach space with the bounded approximation property, then the space ℋ(U) of all holomorphic functions on U, with the Nachbin compact-ported topology, is always bornological.
Frank Mantlik (1991)
Studia Mathematica
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Mario O. González (1973)
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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F. Móricz, K. Tandori (1986)
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P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
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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.
E. Odell (1980)
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Daniel Girela, María Auxiliadora Márquez (1998)
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Z. Ciesielski (1966)
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