Remark on sums of complemented subspaces
Alan LaVergne (1979)
Colloquium Mathematicae
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Alan LaVergne (1979)
Colloquium Mathematicae
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Christopher Frei (2011)
Acta Arithmetica
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Narayana, Darapaneni, Rao, T.S.S.R.K. (2004)
International Journal of Mathematics and Mathematical Sciences
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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L. Carlitz (1980)
Acta Arithmetica
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Kh. Hessami Pilehrood, T. Hessami Pilehrood (2007)
Acta Arithmetica
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W. Waliszewski (1981)
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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.
Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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W. F. Pfeffer (1976)
Colloquium Mathematicae
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Li Xiaoxue, Hu Jiayuan (2017)
Open Mathematics
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The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Faruk Göloğlu, Gary McGuire, Richard Moloney (2011)
Acta Arithmetica
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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....
Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
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