Semicontinuity of maps which are limits of sequences of quasi-continuous maltivalued maps
J. Ewert (1987)
Matematički Vesnik
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Displaying similar documents to “Some generalizations of continuity and quasi-continuity of maps”
Semicontinuity of maps which are limits of sequences of quasi-continuous maltivalued maps
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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.
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Robert H. Lohman (1974)
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Cabiria Andreian Cazacu (1981)
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Tomasz Natkaniec (1992)
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Linear maps preserving quasi-commutativity
Heydar Radjavi, Peter Šemrl (2008)
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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.
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T. K. Pal, M. Maiti (1977)
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Baker, C.W. (2002)
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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.