Topological open problems in the geometry of Banach spaces.
J. Orihuela (2007)
Extracta Mathematicae
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J. Orihuela (2007)
Extracta Mathematicae
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Heath, Matthew J. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Amyari, M., Mirzavaziri, M. (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Yasunari Shidama, Hikofumi Suzuki, Noboru Endou (2008)
Formalized Mathematics
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In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded functionals.MML identifier: C0SP1, version: 7.8.10 4.99.1005
Ondrej F. K. Kalenda (2006)
RACSAM
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We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.
Lasser, Rupert, Perreiter, Eva (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama (2008)
Formalized Mathematics
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In this article we formalize one of the most important theorems of linear operator theory the Open Mapping Theorem commonly used in a standard book such as [8] in chapter 2.4.2. It states that a surjective continuous linear operator between Banach spaces is an open map.MML identifier: LOPBAN 6, version: 7.10.01 4.111.1036
M. Isabel Garrido, Jesús A. Jaramillo (2002)
Extracta Mathematicae
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Abbassi, Hossein, Nourouzi, Kourosh (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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B.M. Ramadisha, V.A. Babalola (2004)
Kragujevac Journal of Mathematics
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