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Lamperti-type operators on a weighted space of continuous functions |
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| Authors: | R. K. Singh Bhopinder Singh |
| Affiliation: | Department of Mathematics, University of Jammu, Jammu 180 004, India Bhopinder Singh ; Department of Mathematics, University of Jammu, Jammu 180 004, India |
| Abstract: | For a locally convex Hausdorff topological vector space  and for a system  of weights vanishing at infinity on a locally compact Hausdorff space  , let  be the weighted space of  -valued continuous functions on  with the locally convex topology derived from the seminorms which are weighted analogues of the supremum norm. A characterization of the orthogonality preserving (Lamperti-type) operators on  is presented in this paper. |
| Keywords: | System of weights weighted space of vector-valued continuous functions Lamperti operator strong operator topology support of a measure. |
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