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ISSN 1088-6826(e) ISSN 0002-9939(p)

Support functionals and smooth points in abstract spaces

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

References:

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Additional Information:

Wang Baoxiang
Affiliation: Department of Mathematics, Hebei University, Baoding 071002, People's Republic of China
Email: math@nic.hbu.edu.cn

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

DOI: 10.1090/S0002-9939-99-04771-1
PII: S 0002-9939(99)04771-1
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
Posted: February 11, 1999
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1999, American Mathematical Society

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