Ukrainian Mathematical Bulletin

Volume 2, Issue 4, 2005 pp. 495-506.

On the Similarity of Some Operators Related to Generalized Gelfond--Leontiev Integration and Differentiation in Spaces of Analytic Function

Authors: Taras I. Zvozdetskyi
Author institution: Chair of Mathematical Analysis, Yurii Fed'kovych Chernivtsi National University, 2 Kotsyubyns'kyi Str., 58012, Chernivtsi, Ukraine, mathan@chnu.cv.ua

Summary: We obtain conditions for the similarity of two different operators of generalized Gelfond--Leontiev differentiation and conditions for the similarity of two operators that are right inverse to different operators of generalized Gelfond--Leontiev differentiation in spaces of analytic functions.

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