This is an announcement for the paper "On peak phenomena for non-commutative $H^\infty$" by Yoshimichi Ueda.
Abstract: A non-commutative extension of Amar and Lederer's peak set result is given. As its simple applications it is shown that any non-commutative $H^\infty$-algebra $H^\infty(M,\tau)$ has unique predual, and moreover some of the results of Blecher and Labuschagne are generalized to the complete form.
Archive classification: math.FA math.OA
The source file(s), peak.tex: 31983 bytes, is(are) stored in gzipped form as 0802.3449.gz with size 10kb. The corresponding postcript file has gzipped size 78kb.
Submitted from: ueda@math.kyushu-u.ac.jp
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/0802.3449
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http://arXiv.org/abs/0802.3449
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uget 0802.3449
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