Reflexive operators on analytic function spaces

F. Ershad (), M. M. Khorami () and B. Yousefi ()
Additional contact information
F. Ershad: Payame Noor University
M. M. Khorami: Payame Noor University
B. Yousefi: Payame Noor University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 3, 807-815

Abstract: Abstract Following the recent work done in [27], we give various other conditions to ensure that the powers of the multiplication operator $$M_{z}$$ M z are reflexive on a Banach space $${\mathcal {X}}$$ X of functions analytic on a plane domain. Also, some examples of function spaces satisfying the given conditions are considered.

Keywords: Banach spaces of analytic functions; Reflexive operator; Multipliers; Caratheodory hull; Bounded point evaluation; Farrel-Rubel-Shields Theorem; 47B37; 46A25 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00140-6

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