The space of compact operators as an M-ideal in its bidual.
T. S. S. R. K. Rao (1992)
Extracta Mathematicae
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T. S. S. R. K. Rao (1992)
Extracta Mathematicae
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Carbone, Antonio (2005)
APPS. Applied Sciences
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Trond A. Abrahamsen, Asvald Lima, Vegard Lima (2008)
Czechoslovak Mathematical Journal
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Let be a Banach space. We give characterizations of when is a -ideal in for every Banach space in terms of nets of finite rank operators approximating weakly compact operators. Similar characterizations are given for the cases when is a -ideal in for every Banach space , when is a -ideal in for every Banach space , and when is a -ideal in for every Banach space .
F. Oertel (1992)
Acta Universitatis Carolinae. Mathematica et Physica
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Susumu Okada, Werner J. Ricker, Luis Rodríguez-Piazza (2011)
Studia Mathematica
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Given a vector measure m with values in a Banach space X, a desirable property (when available) of the associated Banach function space L¹(m) of all m-integrable functions is that L¹(m) = L¹(|m|), where |m| is the [0,∞]-valued variation measure of m. Closely connected to m is its X-valued integration map Iₘ: f ↦ ∫f dm for f ∈ L¹(m). Many traditional operators from analysis arise as integration maps in this way. A detailed study is made of the connection between the property L¹(m) = L¹(|m|)...
F. Oertel (1995)
Acta Universitatis Carolinae. Mathematica et Physica
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