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1. CMB 2011 (vol 54 pp. 338)
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Szegö's Theorem and Uniform Algebras We study Szegö's theorem for a uniform algebra.
In particular, we do it for the disc algebra or the bidisc algebra.
Keywords:Szegö's theorem, uniform algebras, disc algebra, weighted Bergman space Categories:32A35, 46J15, 60G25 |
2. CMB 2003 (vol 46 pp. 632)
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The Operator Amenability of Uniform Algebras We prove a quantized version of a theorem by M.~V.~She\u{\i}nberg:
A uniform algebra equipped with its canonical, {\it i.e.}, minimal,
operator space structure is operator amenable if and only if it is
a commutative $C^\ast$-algebra.
Keywords:uniform algebras, amenable Banach algebras, operator amenability, minimal, operator space Categories:46H20, 46H25, 46J10, 46J40, 47L25 |