Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Support functionals and smooth points
in abstract $M$ spaces

Authors: Wang Baoxiang and Wang Tingfu
Journal: Proc. Amer. Math. Soc. 127 (1999), 1761-1770
MSC (1991): Primary 46B20; Secondary 46E30
Published electronically: February 11, 1999
MathSciNet review: 1487344
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Abstract: By presenting some properties of support functionals in abstract $M$ spaces, we get some sufficient and necessary conditions for smooth points in abstract $M$ (function) spaces. Moreover, the notion of the smallest support semi-norm is introduced and an explicit form for this functional in abstract $M$ function spaces is also given.

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Additional Information

Wang Baoxiang
Affiliation: Department of Mathematics, Hebei University, Baoding 071002, People’s Republic of China

Wang Tingfu
Affiliation: Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, People’s Republic of China

Keywords: Abstract $M$ (function) space, support functional, the smallest support semi-norm, smooth point
Received by editor(s): September 23, 1996
Received by editor(s) in revised form: September 16, 1997
Published electronically: February 11, 1999
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1999 American Mathematical Society