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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Cabiria Andreian Cazacu (1981)
Annales Polonici Mathematici
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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.
Chow, S.S. (1987)
International Journal of Mathematics and Mathematical Sciences
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Pablo F. Meilán, Mariano Creus, Mario Garavaglia (2000)
Visual Mathematics
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T. K. Pal, M. Maiti (1977)
Matematički Vesnik
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Roman Sikorski (1974)
Fundamenta Mathematicae
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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.
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.
Singh, R.K., Gupta, D.K., Komal, B.S. (1979)
International Journal of Mathematics and Mathematical Sciences
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Suri, Pushpa R., Singh, N. (1987)
International Journal of Mathematics and Mathematical Sciences
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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.
Chang-Ho Song, Yong-Gon Ri, Cholmin Sin (2022)
Applications of Mathematics
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In this paper we propose a new concept of quasi-uniform monotonicity weaker than the uniform monotonicity which has been developed in the study of nonlinear operator equation $Au=b$. We prove that if $A$ is a quasi-uniformly monotone and hemi-continuous operator, then $A^{-1}$ is strictly monotone, bounded and continuous, and thus the Galerkin approximations converge. Also we show an application of a quasi-uniformly monotone and hemi-continuous operator to the proof of the well-posedness...
S. K. Ghosal, M. Chatterjee (1974)
Matematički Vesnik
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