On some subspaces of the Helly space
W. F. Pfeffer (1976)
Colloquium Mathematicae
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W. F. Pfeffer (1976)
Colloquium Mathematicae
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Esteban Andruchow, Eduardo Chiumiento, María Eugenia Di Iorio y Lucero (2015)
Studia Mathematica
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Let 𝓔 be a Banach space contained in a Hilbert space 𝓛. Assume that the inclusion is continuous with dense range. Following the terminology of Gohberg and Zambickiĭ, we say that a bounded operator on 𝓔 is a proper operator if it admits an adjoint with respect to the inner product of 𝓛. A proper operator which is self-adjoint with respect to the inner product of 𝓛 is called symmetrizable. By a proper subspace 𝓢 we mean a closed subspace of 𝓔 which is the range of a proper projection....
Jaroslav Milota (1976)
Czechoslovak Mathematical Journal
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Vladimir Kadets, Varvara Shepelska, Dirk Werner (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider a general concept of Daugavet property with respect to a norming subspace. This concept covers both the usual Daugavet property and its weak* analogue. We introduce and study analogues of narrow operators and rich subspaces in this general setting and apply the results to show that a quotient of L₁[0,1] by an ℓ₁-subspace need not have the Daugavet property. The latter answers in the negative a question posed to us by A. Pełczyński.
W. B. Johnson (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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W. B. Johnson (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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S. Kwapień, A. Pelczyński (1976)
Compositio Mathematica
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Józef Burzyk, Andrzej Kamiński (1999)
Mathematica Slovaca
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Baranov, A.D. (2005)
Zapiski Nauchnykh Seminarov POMI
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