Result: Multiplication Operators and Dynamical Systems on Weighted Locally Convex Spaces of Holomorphic Functions: Multiplication operators and dynamical systems on weighted locally convex spaces of holomorphic functions
Title:
Multiplication Operators and Dynamical Systems on Weighted Locally Convex Spaces of Holomorphic Functions: Multiplication operators and dynamical systems on weighted locally convex spaces of holomorphic functions
Authors:
Source:
gmj. 11:527-537
Publisher Information:
Walter de Gruyter GmbH, 2004.
Publication Year:
2004
Subject Terms:
Groups and semigroups of linear operators, Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Holomorphic functions of several complex variables, (invertible) multiplication operators, Linear operators on function spaces (general), Spaces of bounded analytic functions of one complex variable, Topological linear spaces of continuous, differentiable or analytic functions, dynamical systems, 0101 mathematics, weighted locally convex spaces of homomorphis functions, 01 natural sciences, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1572-9176
1072-947X
1072-947X
DOI:
10.1515/gmj.2004.527
Access URL:
Accession Number:
edsair.doi.dedup.....6f307e203e74cbfaaeedf95da2df9cdf
Database:
OpenAIRE
Further Information
Let 𝐺 be an open subset of ℂ and let 𝑉 be an arbitrary system of weights on 𝐺. Let 𝐻𝑉𝑏(𝐺) and 𝐻𝑉0(𝐺) be the weighted locally convex spaces of holomorphic functions with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present article, we characterize the analytic functions inducing multiplication operators and invertible multiplication operators on the spaces 𝐻𝑉𝑏(𝐺) and 𝐻𝑉0(𝐺) for different systems of weights 𝑉 on 𝐺. A (linear) dynamical system induced by multiplication operators on these spaces is obtained as an application of the theory of multiplication operators.