Nonlinear metric projections in twisted twilight.
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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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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Nigel Kalton (1981)
Studia Mathematica
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Fernando Albiac, José Ansorena (2012)
Open Mathematics
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Unlike for Banach spaces, the differentiability of functions between infinite-dimensional nonlocally convex spaces has not yet been properly studied or understood. In a paper published in this Journal in 2006, Bayoumi claimed to have discovered a new notion of derivative that was more suitable for all F-spaces including the locally convex ones with a wider potential in analysis and applied mathematics than the Fréchet derivative. The aim of this short note is to dispel this misconception,...
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.
Robert H. Lohman (1974)
Colloquium Mathematicae
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Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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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.
N. Kalton (1995)
Studia Mathematica
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We construct a quasi-Banach space X which contains no basic sequence.
T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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Roman Sikorski (1974)
Fundamenta Mathematicae
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Olivier Olela Otafudu, Zechariah Mushaandja (2017)
Topological Algebra and its Applications
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We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.
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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