Two functors related to direct and inverse limits of systems of bidual Banach spaces are introduced. Among the applications of this construction we have a result concerning supports of representing measures which was crucial in the recent proof of the Corona Theorem by M. Kosiek and K. Rudol. In the last section we discuss the B. J. Cole's construction of a uniform algebra with a property that every element possesses a root.
On ideals of polynomials and their applications
A T(1)-Theorem in relation to a semigroup of operators and applications to new paraproducts
Variational splines on Riemannian manifolds with applications to integral geometry
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