Some results on composition operators on .
Singh, R.K., Gupta, D.K., Komal, B.S. (1979)
International Journal of Mathematics and Mathematical Sciences
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Singh, R.K., Gupta, D.K., Komal, B.S. (1979)
International Journal of Mathematics and Mathematical Sciences
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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.
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.
Schôichi Ôta (1995)
Studia Mathematica
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Some results on quasi-affinity for bounded operators are extended to unbounded ones and normal extensions of an unbounded operator are discussed in connection with quasi-affinity.
Levin, Vladimir L. (1995)
Journal of Convex Analysis
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Said Bouali, Youssef Bouhafsi (2010)
Czechoslovak Mathematical Journal
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Let denote the algebra of all bounded linear operators on a separable infinite dimensional complex Hilbert space into itself. Given , we define the elementary operator by . In this paper we study the class of operators which have the following property: implies for all trace class operators . Such operators are termed generalized quasi-adjoints. The main result is the equivalence between this character and the fact that the ultraweak closure of the range of is closed...
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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Roman Sikorski (1974)
Fundamenta Mathematicae
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Vasile Lauric (2016)
Concrete Operators
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We extend the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to almost normal operators with finite Hilbert-Schmidt modulus of quasi-triangularity.