Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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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.

Demi-linear analysis I-basic principles

Ronglu Li, Shuhui Zhong, and Linsong Li

Harbin Institute of Technology, Harbin Institute of Technology, and Yanbian University

Abstract

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