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Let E and F be Banach spaces and let Cwu(E) be the Fréchet algebra of real-valued functions on E which are uniformly weakly continuous when restricted to any bounded subset of E. Homomorphisms, and properties of such homomorphisms, between Cwu(E[...]texto impreso
Tauberian operators between Banach spaces were introduced by N. Kalton and A. Wilansky [Proc. Amer. Math. Soc. 57 (1976), no. 2, 251–255;] as those operators T:X?Y whose second conjugate satisfies (T **) ?1 Y?X . Note that ker(T **)?X is a nec[...]texto impreso
A characterization of dense polynomial algebras is obtained for a certain class of p-continously differentiable Fréchet functions between real Banach spaces. In order to study this result a new approximation property in Banach spaces, the bounde[...]texto impreso
Let H(U) be the space of holomorphic functions on an open subset U of a locally convex space. The authors study various topologies canonically associated with the topology of compact convergence on H(U), especially the bornological topology and [...]
