Some stability results for asymptotic norming properties of Banach spaces
Sudeshna Basu, T. Rao (1998)
Colloquium Mathematicae
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Sudeshna Basu, T. Rao (1998)
Colloquium Mathematicae
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Journal of Inequalities and Applications [electronic only]
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Muñiz-Pérez, Omar (2010)
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Portugaliae Mathematica
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Fundamenta Mathematicae
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Nygaard, Olav (2002)
International Journal of Mathematics and Mathematical Sciences
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Tetiana Bosenko (2010)
Open Mathematics
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A linear continuous nonzero operator G: X → Y is a Daugavet center if every rank-1 operator T: X → Y satisfies ||G + T|| = ||G|| + ||T||. We study the case when either X or Y is a sum X 1⊕F X 2 of two Banach spaces X 1 and X 2 by some two-dimensional Banach space F. We completely describe the class of those F such that for some spaces X 1 and X 2 there exists a Daugavet center acting from X 1⊕F X 2, and the class of those F such that for some pair of spaces X 1 and X 2 there is a Daugavet...
Robert A. McGuigan, Jr. (1970)
Compositio Mathematica
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Maria D. Acosta, Vicente Montesinos (2006)
Acta Universitatis Carolinae. Mathematica et Physica
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