On a variant of quasi-injectivity via kernel functors
Paramhans, S.A. (1988)
Portugaliae mathematica
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Paramhans, S.A. (1988)
Portugaliae mathematica
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Robert H. Lohman (1974)
Colloquium Mathematicae
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Amouch, M. (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 47B47, 47B10, 47A30. In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators. Also we give some applications of this result.
Roger Yue Chi Ming (1992)
Archivum Mathematicum
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Characterizations of quasi-continuous modules and continuous modules are given. A non-trivial generalization of injectivity (distinct from -injectivity) is considered.
Roman Sikorski (1974)
Fundamenta Mathematicae
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Khan, Mohd.Z., Zubair, A. (2000)
International Journal of Mathematics and Mathematical Sciences
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Clarke, F. Marion (1952)
Portugaliae mathematica
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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.
Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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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.