Essentially hyponormal multiplication operators on the Dirichlet space
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DOI: 10.1007/s00013-016-1006-z
Abstract: On the Dirichlet space D, we show that there is a multiplier f of D such that $$M_f$$Mf is not essentially hyponormal, i.e. $$\pi (M_f)$$π(Mf) is not hyponormal in the Calkin algebra $$B(D)/\mathcal {K}(D)$$B(D)/K(D). read more here.
Keywords: dirichlet space; operators dirichlet; essentially hyponormal; multiplication operators ... See more keywords
Composition and multiplication operators on the derivative Hardy space
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DOI: 10.1080/17476933.2017.1327955
Abstract: Abstract In this paper we propose a different (and equivalent) norm on which consists of functions whose derivatives are in the Hardy space of unit disk. The reproducing kernel of in this norm admits an… read more here.
Keywords: multiplication operators; hardy space; composition multiplication; space ... See more keywords
Weak sequential properties of the multiplication operators on banach algebras
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DOI: 10.2989/16073606.2021.1943038
Abstract: Let $A$ be a Banach algebra. For $f\in A^{\ast}$, we inspect the weak sequential properties of the well-known map $T_f:A\to A^{\ast}$, $T_f(a) = fa$, where $fa\in A^{\ast}$ is defined by $fa(x) = f(ax)$ for all… read more here.
Keywords: weak sequential; operators banach; properties multiplication; multiplication operators ... See more keywords
Carleman integral operators as multiplication operators and perturbation theory
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DOI: 10.5937/kgjmath1701071b
Abstract: It is well known that the multiplication operators [1,2] possess a very rich structure theory, such that these operators played an important role in the study of operators on Hilbert Spaces. In this paper, we… read more here.
Keywords: operators perturbation; multiplication; integral operators; multiplication operators ... See more keywords