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.
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)
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