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This article is cited in 1 scientific paper (total in 1 paper)
Operators commuting with multiplication in spaces of analytic functions of one variable
V. P. Zakharyuta, M. Yu. Tsar'kov Chernovtsy State University
Abstract:
Let $D$ be an analytic manifold of dimensionality $\mathfrak A(D)$ be the space of functions analytic on $D$ with the topology of compact convergence, and $\varphi(z)$ be a function from $\mathfrak A(D)$. Under certain sufficiently general assumptions relative to the manifold $D$, in the note is found the general form of a continuous linear operator $\mathfrak A(D)$, commuting with the operator of multiplication by a function $\varphi(z)$. Because of this it is established under what conditions each such operator is an operator of multiplication by some function.
Received: 27.12.1971
Citation:
V. P. Zakharyuta, M. Yu. Tsar'kov, “Operators commuting with multiplication in spaces of analytic functions of one variable”, Mat. Zametki, 13:2 (1973), 269–276; Math. Notes, 13:2 (1973), 158–163
Linking options:
https://www.mathnet.ru/eng/mzm7120 https://www.mathnet.ru/eng/mzm/v13/i2/p269
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Abstract page: | 178 | Full-text PDF : | 77 | First page: | 1 |
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