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1
Content available remote Multiplication operators on the Banach algebra of bounded Φ-variation functions on compact subsets of ℂ
Bracamonte Mireya, Ereú Jurancy, Marchan Luz
Demonstratio Mathematica
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2022
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Vol. 55, nr 1
760--771
EN
Let AΦ(K) be the Banach algebra of bounded Φ -variation functions defined on a compact set K in the complex plane, h a function defined on K, and Mh a multiplication operator induced by h. In this article, we determine the conditions that h must satisfy for Mh to be an operator that has closed range, finite rank or is compact. We also characterize the conditions that h must satisfy for Mh to be a Fredholm operator.
2
Content available remote Multiplication operators on the space of functions of bounded variation
Astudillo-Villalba F. R., Ramos-Fernández J. C.
Demonstratio Mathematica
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2017
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Vol. 50, nr 1
105--115
EN
In this paper, we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular, we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication operators on BV[0, 1].
3
Content available remote Multiplication operators on Cesàro-Orlicz sequence spaces
Raj K., Sharma C., Pandoh S.
Fasciculi Mathematici
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2016
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Nr 57
137--145
EN
In this paper, we characterize the compact, invertible, Fredholm and closed range multiplication operators on Cesàro-Orlicz sequence spaces.
4
Content available remote Multiplication operators on Cesàro sequence spaces
Komal B. S., Pandoh S., Raj K.
Demonstratio Mathematica
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2016
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Vol. 49, nr 4
430--436
EN
In this paper we characterize the compact, invertible and Fredholm multiplication operators on Cesàro sequence spaces.
5
Content available remote Intertwining multiplication operators on function spaces
Yousefi B., Bagheri L.
Bulletin of the Polish Academy of Sciences. Mathematics
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2006
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Vol. 54, no 3-4
273-276
EN
Suppose that Χ is a Banach space of analytic functions on a plane domain Ω. We characterize the operators Τ that intertwine with the multiplication operators acting on Χ.
6
Content available remote Operator-valued multiiiiiplication operators on weighted function spaces
Khan L. A., Thaheem A. B.
Demonstratio Mathematica
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2002
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Vol. 35, nr 3
599-605
EN
Let X be a completely regular Hausdorff space, E a Hausdorff topological vector space, V a Nachbin family of weights on X, and CVb(X,E) the weighted space of continuous JS-valued functions on X. Let B(E) be the vector space of all continuous linear mappings from E into itself, endowed with the topology of uniform convergence on bounded sets. If phi: X -> B(E) is a continuous mapping and f zawiera CVb(X,E), let Mphi,(f) = phif, where (phif)(x) = (phi(x)(f(x) (x zawiera się X). In this paper we give a necessary and sufficient condition for Mphi to be the multiplication operator (i.e. continuous self-mapping) on CVb(X,E), where E is a general space or a locally bounded space. These results extend recent work of Singh and Manhas to a non-locally convex setting and that of the authors where phi has been considered to be a complex or E-valued map.
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