TY - JOUR
T1 - Multiplication operators and dynamical systems on weighted locally convex spaces of holomorphic functions
AU - Manhas, J. S.
PY - 2004/1
Y1 - 2004/1
N2 - 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 operatos.
AB - 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 operatos.
KW - Weighted locally convex spaces of holomorphic functions
KW - arbitrary system of weights
KW - dynamical systems
KW - invertible multiplication operators
KW - multiplication operators
KW - seminorms
UR - http://www.scopus.com/inward/record.url?scp=80051594964&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80051594964&partnerID=8YFLogxK
U2 - 10.1515/GMJ.2004.527
DO - 10.1515/GMJ.2004.527
M3 - Article
AN - SCOPUS:80051594964
SN - 1072-947X
VL - 11
SP - 527
EP - 537
JO - Georgian Mathematical Journal
JF - Georgian Mathematical Journal
IS - 3
ER -