A property of quasi-complements
Robert H. Lohman (1974)
Colloquium Mathematicae
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Robert H. Lohman (1974)
Colloquium Mathematicae
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T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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Elena Alemany, Salvador Romaguera (1996)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the quasi-metric spaces which have a quasi-metric half-completion and deduce that each paracompact co-stable quasi-metric space having a quasi-metric half-completion is metrizable. We also characterize the quasi-metric spaces whose bicompletion is quasi-metric and it is shown that the bicompletion of each quasi-metric compatible with a quasi-metrizable space is quasi-metric if and only if is finite.
Salvador Romaguera, Juan Tarrés (1993)
Extracta Mathematicae
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Salvador Romaguera, Sergio Salbany (1992)
Extracta Mathematicae
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Pablo F. Meilán, Mariano Creus, Mario Garavaglia (2000)
Visual Mathematics
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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.
Roman Sikorski (1974)
Fundamenta 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.