A uniform F-algebra with locally complete spectrum and with nonglobal peak points
Absolutely summing operators and measure amarts in Fréchet spaces
Acyclic inductive spectra of Fréchet spaces
We provide new characterizations of acyclic inductive spectra of Fréchet spaces which improve the classical theorem of Palamodov and Retakh. It turns out that acyclicity, sequential retractivity (defined by Floret) and further strong regularity conditions (introduced e.g. by Bierstedt and Meise) are all equivalent. This solves a problem that was folklore since around 1970. For inductive limits of Fréchet-Montel spaces we obtain even stronger results, in particular, Grothendieck's problem whether...
Algunos resultados sobre representabilidad finita de 1q (O < q ≤∞) en espacios p-Banach.
An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces
A general existence and uniqueness result of Picard-Lindelöf type is proved for ordinary differential equations in Fréchet spaces as an application of a generalized Nash-Moser implicit function theorem. Many examples show that the assumptions of the main result are natural. Applications are given for the Fréchet spaces , , , , for Köthe sequence spaces, and for the general class of subbinomic Fréchet algebras.
An example of a continuum of pairwise non-isomorphic spaces of -functions
An Example of a Nuclear Fréchet Space Without the Bounded Approximation Property.
An inverse function theorem in Fréchet spaces without smoothing operators
Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
Application of vector integration to spectral theory
Applications of some results of infinite-dimensional topology to the topological classification of operator images [Book]
Asplund spaces
Associated weights and spaces of holomorphic functions
When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also serve to characterize...