On complementably universal Banach spaces
M. Kadec (1971)
Studia Mathematica
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M. Kadec (1971)
Studia Mathematica
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Alfonso Montes-Rodríguez, M. Carmen Romero-Moreno (2002)
Studia Mathematica
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We prove a Supercyclicity Criterion for a continuous linear mapping that is defined on the operator algebra of a separable Banach space ℬ. Our result extends a recent result on hypercyclicity on the operator algebra of a Hilbert space. This kind of result is a powerful tool to analyze the structure of supercyclic vectors of a supercyclic operator that is defined on ℬ. For instance, as a consequence of the main result, we give a very simple proof of the recently established fact that...
Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
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Iryna Banakh, Taras Banakh (2010)
Studia Mathematica
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We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
Beucher, O. J.
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Barnabas Garay (1990)
Studia Mathematica
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D. Azagra, J. Gómez, J. A. Jaramillo (1996)
Extracta Mathematicae
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Stanislaw Kwapien (1972)
Mémoires de la Société Mathématique de France
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Pradipta Bandyopadhyay, Bor-Luh Lin, T. S. S. R. K. Rao (2009)
Colloquium Mathematicae
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We study Banach spaces X with subspaces Y whose unit ball is densely remotal in X. We show that for several classes of Banach spaces, the unit ball of the space of compact operators is densely remotal in the space of bounded operators. We also show that for several classical Banach spaces, the unit ball is densely remotal in the duals of higher even order. We show that for a separable remotal set E ⊆ X, the set of Bochner integrable functions with values in E is a remotal set in L¹(μ,X). ...
Ehrhard Behrends, Michael Cambern (1988)
Studia Mathematica
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