It is known that in c0 the holomorphic functions representable by multiple power series (the series of monomials) are those of nuclear type. In this article we show that in a Banach space with unconditional Schauder basis every domain of existence is the domain of existence of a holomorphic function
Domains of τ-holomorphy in a separable Banach space
✍ Scribed by Mário C. Matos
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 291 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
1. Introduction. Let (X,) be a sequence of real valued independent and identically distributed random variables (r. v.) with espactation 0 and finite second moment 02. Further, let ( N n ) be a sequence of random integers satisfying N,/n -. t where z is a positive r.v. Then the celebrated result of
In this note the following new version of the Schwarz lemma is proved: If f is a holomorphic function mapping a bounded convex domain D D of a complex Banach 1 Ž . space into a convex domain D D of another complex Banach space and f a s b, 2 then the image by f of the set of points in D D lying at a