Lamperti-type operators on a weighted space

of continuous functions

Authors:
R. K. Singh and Bhopinder Singh

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

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Abstract | References | Similar Articles | Additional Information

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.

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Additional 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

DOI:
https://doi.org/10.1090/S0002-9939-97-03717-9

Keywords:
System of weights,
weighted space of vector-valued continuous functions,
Lamperti operator,
strong operator topology,
support of a measure.

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

Article copyright:
© Copyright 1997
American Mathematical Society