Convexity, type and three space problem
Nigel Kalton (1981)
Studia Mathematica
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Nigel Kalton (1981)
Studia Mathematica
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N. Kalton (1995)
Studia Mathematica
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We construct a quasi-Banach space X which contains no basic sequence.
Jesús M. Fernández Castillo, Yolanda Moreno (2002)
Extracta Mathematicae
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Félix Cabello Sánchez, Jesús M. F. Castillo, Fernando Sánchez (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Bella Tsirulnikov (1981)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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D. J. Grubb (2008)
Fundamenta Mathematicae
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A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.
Aboubakr Bayoumi (2006)
Open Mathematics
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We prove that the Quasi Differential of Bayoumi of maps between locally bounded F-spaces may not be Fréchet-Differential and vice versa. So a new concept has been discovered with rich applications (see [1–6]). Our F-spaces here are not necessarily locally convex
Wu, Cong, Li, Yongjin (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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B. K. Ray (1978)
Matematički Vesnik
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Bosch, Carlos, Kučera, Jan, McKennon, Kelly (1991)
International Journal of Mathematics and Mathematical Sciences
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Heydar Radjavi, Peter Šemrl (2008)
Studia Mathematica
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Let X and Y be Banach spaces and ℬ(X) and ℬ(Y) the algebras of all bounded linear operators on X and Y, respectively. We say that A,B ∈ ℬ(X) quasi-commute if there exists a nonzero scalar ω such that AB = ωBA. We characterize bijective linear maps ϕ : ℬ(X) → ℬ(Y) preserving quasi-commutativity. In fact, such a characterization can be proved for much more general algebras. In the finite-dimensional case the same result can be obtained without the bijectivity assumption.
Elisabeth Werner (1988)
Mathematische Annalen
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