Lamperti-type operators on a weighted space of continuous functions
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- by R. K. Singh and Bhopinder Singh
- Proc. Amer. Math. Soc. 125 (1997), 1161-1165
- DOI: https://doi.org/10.1090/S0002-9939-97-03717-9
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Abstract:
For a locally convex Hausdorff topological vector space $E$ and for a system $V$ of weights vanishing at infinity on a locally compact Hausdorff space $X$, let $CV_0(X,E)$ be the weighted space of $E$-valued continuous functions on $X$ 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 $CV_0(X,E)$ is presented in this paper.References
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Bibliographic Information
- R. K. Singh
- Affiliation: Department of Mathematics, University of Jammu, Jammu 180 004, India
- Bhopinder Singh
- Affiliation: Department of Mathematics, University of Jammu, Jammu 180 004, India
- Address at time of publication: Department of Mathematics, Government College of Engineering and Technology, Jammu 180 001, India
- Received by editor(s): April 14, 1995
- Received by editor(s) in revised form: October 23, 1995
- Additional Notes: The second author was supported by NBHM(DAE) Grant No. 40/16/93-G
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1161-1165
- MSC (1991): Primary 47B38, 46E40, 47B60
- DOI: https://doi.org/10.1090/S0002-9939-97-03717-9
- MathSciNet review: 1363437