Range preserving maps between the spaces of continuous functions with values in a locally convex space
Author:
Yuta Enami
Journal:
Proc. Amer. Math. Soc. 149 (2021), 189-197
MSC (2010):
Primary 46E10
DOI:
https://doi.org/10.1090/proc/15108
Published electronically:
October 9, 2020
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be the linear space of all continuous functions on a compact Hausdorff space
with values in a locally convex space
. We characterize maps
which satisfy
for all
.
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Additional Information
Yuta Enami
Affiliation:
Department of Mathematical Science, Faculty of Fundamental Scineces, Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
Email:
enami@m.sc.niigata-u.ac.jp
DOI:
https://doi.org/10.1090/proc/15108
Keywords:
Range preserving map,
vector-valued function space
Received by editor(s):
October 29, 2019
Received by editor(s) in revised form:
March 1, 2020, March 12, 2020, and March 17, 2020
Published electronically:
October 9, 2020
Communicated by:
Professor Stephen Dilworth
Article copyright:
© Copyright 2020
American Mathematical Society