Some generalizations of continuity and quasi-continuity of maps

M. Przemski

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

J. Ewert (1987)

Matematički Vesnik

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Quasi-linear maps

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.

A property of quasi-complements

Robert H. Lohman (1974)

Colloquium Mathematicae

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On the geometric definition of the quasi-conformality

Cabiria Andreian Cazacu (1981)

Annales Polonici Mathematici

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On the maximum and the minimum of quasi-continuous functions

Tomasz Natkaniec (1992)

Mathematica Slovaca

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Linear maps preserving quasi-commutativity

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.

A generalization of Ćirić quasi-contraction

T. K. Pal, M. Maiti (1977)

Matematički Vesnik

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On a weak form of weak quasi-continuity.

Baker, C.W. (2002)

International Journal of Mathematics and Mathematical Sciences

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Quasi-inverses of morphisms

Roman Sikorski (1974)

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A Note on Quasicontinuous Kernels Representing Quasi-Linear Positive Maps.

Sergio Albeverio, Zhi-Ming Ma (1991)

Forum mathematicum

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Versatile asymmetrical tight extensions

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.