J. Korean Math. Soc. 2009; 46(3): 643-656
Printed May 1, 2009
https://doi.org/10.4134/JKMS.2009.46.3.643
Copyright © The Korean Mathematical Society.
Ronglu Li, Shuhui Zhong, and Linsong Li
Harbin Institute of Technology, Harbin Institute of Technology, and Yanbian University
The family of demi-linear mappings between topological vector spaces is a meaningful extension of the family of linear operators. We establish equicontinuity results for demi-linear mappings and develop the usual theory of distributions and the usual duality theory.
Keywords: demi-linear mappings, weakly demi-linear mappings, equicontinuity, uniform boundedness, demi-distributions, demi-linear duality
MSC numbers: Primary 46A30, 46F05
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