Abstract
Let J be a completely regular Hausdorff space, let V be a system of weights on X and let T be a locally convex Hausdorff topological vector space. Then CVb(X, T) is a locally convex space of vector-valued continuous functions with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present paper we characterize multiplication operators on the space CVb(X, T) induced by operator-valued mappings and then obtain a (linear) dynamical system on this weighted function space.
| Original language | English |
|---|---|
| Pages (from-to) | 92-102 |
| Number of pages | 11 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 53 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1992 |
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Keywords
- dy
- locally convex spaces
- multiplication operators
- namical systems
- system of weights
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Multiplication operators and dynamical systems. / Singh, R. K.; Manhas, Jasbir Singh.
In: Journal of the Australian Mathematical Society, Vol. 53, No. 1, 1992, p. 92-102.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Multiplication operators and dynamical systems
AU - Singh, R. K.
AU - Manhas, Jasbir Singh
PY - 1992
Y1 - 1992
N2 - Let J be a completely regular Hausdorff space, let V be a system of weights on X and let T be a locally convex Hausdorff topological vector space. Then CVb(X, T) is a locally convex space of vector-valued continuous functions with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present paper we characterize multiplication operators on the space CVb(X, T) induced by operator-valued mappings and then obtain a (linear) dynamical system on this weighted function space.
AB - Let J be a completely regular Hausdorff space, let V be a system of weights on X and let T be a locally convex Hausdorff topological vector space. Then CVb(X, T) is a locally convex space of vector-valued continuous functions with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present paper we characterize multiplication operators on the space CVb(X, T) induced by operator-valued mappings and then obtain a (linear) dynamical system on this weighted function space.
KW - dy
KW - locally convex spaces
KW - multiplication operators
KW - namical systems
KW - system of weights
UR - http://www.scopus.com/inward/record.url?scp=0010722312&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0010722312&partnerID=8YFLogxK
U2 - 10.1017/S1446788700035424
DO - 10.1017/S1446788700035424
M3 - Article
VL - 53
SP - 92
EP - 102
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
SN - 1446-7887
IS - 1
ER -