Literature Cited
G. Köthe, “Dualität in der Funktionenetheorie,” J. Reine Angew. Math.,191, 30 (1953).
N. I. Nagnibida, “Operators that commute with operators of multiplication by analytic funcitons and the quastipower bases associated with them,” in: Function Theory, Functional Analysis, and Their Applications, No. 13 [in Russian], Kharkov State Univ. (1971), p. 63.
N. I. Nagnibida and P. P. Nastasiev, “Strongly cyclic elements of certain operators on analytic function spaces,” Ukr. Mat. Zh.,35, 636 (1983).
G. M. Berezovskaya and N. I. Berezovskii, “Description of isomorphisms of a space of holomorphic functions that commute with multiple multiplication,” Ukr. Mat. Zh.,36, 611 (1984).
V. P. Podporin, “Solutions of the operator equation P1 (D)A=AP2 (D) in certain classes of linear operators,” Dokl. Akad. Nauk SSSR,240, 28 (1978).
V. P. Zakharyuta and M. Yu. Tsar'kov, “Operators that commute with multiplication in analytic one-variable function spaces,” Mat. Zametki,13, 269 (1973).
N. E. Linchuk and S. S. Linchuk, “A class of operator equations in analytic spaces,” Ukr. Mat. Zh.,35, 510 (1983).
Additional information
Chernovtsy. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 28, No. 2, pp. 96–99, March–April, 1987.
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Linchuk, N.E. Representation of commutants of operators of mutliplication by elementary functions in analytic spaces. Sib Math J 28, 254–257 (1987). https://doi.org/10.1007/BF00970871
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DOI: https://doi.org/10.1007/BF00970871