Support functionals and smooth points in abstract $M$ spaces
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- by Wang Baoxiang and Wang Tingfu PDF
- Proc. Amer. Math. Soc. 127 (1999), 1761-1770 Request permission
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.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
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1761-1770
- MSC (1991): Primary 46B20; Secondary 46E30
- DOI: https://doi.org/10.1090/S0002-9939-99-04771-1
- MathSciNet review: 1487344