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.
Robert H. Lohman (1974)
Colloquium Mathematicae
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Tomasz Natkaniec (1992)
Mathematica Slovaca
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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.
Pablo F. Meilán, Mariano Creus, Mario Garavaglia (2000)
Visual Mathematics
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Roman Sikorski (1974)
Fundamenta Mathematicae
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H. Länger (1980)
Fundamenta Mathematicae
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T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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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.
V. Gregori, J. Ferrer (1982)
Stochastica
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R. Stoltenberg characterized in [2] those quasi-uniformities which are quasi-pseudometrizable, as well as those quasi-metric spaces which have a quasi-metric completion. In this paper we follow Stoltenberg's work by giving characterizations for quasi-metrizability and quasi-metric completion for a particular type of quasi-uniform spaces, the Pervin's quasi-uniform space.