ALGEBRAS OF HOLOMORPHIC FUNCTIONS
نویسندگان
چکیده
منابع مشابه
Spectra of Weighted Algebras of Holomorphic Functions
We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to ...
متن کاملBoundaries for Algebras of Holomorphic Functions on Banach Spaces
We study the relations between boundaries for algebras of holomorphic functions on Banach spaces and complex convexity of their balls. In addition, we show that the Shilov boundary for algebras of holomorphic functions on an order continuous sequence space X is the unit sphere SX if X is locally c-convex. In particular, it is shown that the unit sphere of the OrliczLorentz sequence space λφ,w i...
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We consider the classes M(p) (1 < p < ∞) of holomorphic functions on the open unit disk 𝔻 in the complex plane. These classes are in fact generalizations of the class M introduced by Kim (1986). The space M (p) equipped with the topology given by the metric ρ p defined by ρp (f, g) = ||f - g|| p = (∫0(2π) log(p) (1 + M(f - g)(θ))(dθ/2π))(1/p), with f, g ∈ M (p) and Mf(θ) = sup 0 ⩽ r<1 |f(re(i...
متن کاملSpectra of Weighted Banach Algebras of Holomorphic Functions
We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to ...
متن کاملMatricial Topological Ranks for Two Algebras of Bounded Holomorphic Functions
— Let N and D be two matrices over the algebra H∞ of bounded analytic functions in the disk, or its real counterpart H∞ R . Suppose that N and D have the same number n of columns. In a generalisation of the notion of topological stable rank 2, it is shown that N and D can be approximated (in the operator norm) by two matrices e N and e D, so that the Aryabhatta-Bezout equation X e N + Y e D = I...
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ژورنال
عنوان ژورنال: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics
سال: 1982
ISSN: 0373-6385
DOI: 10.2206/kyushumfs.36.113