On holomorphy in Banach spaces and absolute convergence of Fourier series
Errata to the article "On holomorphy in Banach spaces and absolute convergence of Fourier series" (Port. Math., 45(4) (1988), 429-450)
Domains of ...-Holomorphy in a Separable Banach Space.
On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
Correction to "On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space".
On the Cartan-Thullen Theorem for some subalgebras of holomorphic functions in a locally convex space.
On multilinear mappings of nuclear type.
The space of multilinear mappings of nuclear type (s;r1,...,rn) between Banach spaces is considered, some of its properties are described (including the relationship with tensor products) and its topological dual is characterized as a Banach space of absolutely summing mappings.
Fully absolutely summing and Hilbert-Schmidt multilinear mappings.
The space of the fully absolutely (r;r1,...,rn)-summing n-linear mappings between Banach spaces is introduced along with a natural (quasi-)norm on it. If r,rk C [1,+infinite], k=1,...,n, this space is characterized as the topological dual of a space of virtually nuclear mappings. Other examples and properties are considered and a relationship with a topological tensor product is stablished. For Hilbert spaces and r = r1 = ... = rn C [2,+infinite[ this space is isomorphic to the space of the Hilbert-Schmidt...
Entire functions on locally convex spaces and convolution operators
Fully summing mappings between Banach spaces
We introduce and investigate the non-n-linear concept of fully summing mappings; if n = 1 this concept coincides with the notion of nonlinear absolutely summing mappings and in this sense this article unifies these two theories. We also introduce a non-n-linear definition of Hilbert-Schmidt mappings and sketch connections between this concept and fully summing mappings.
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