On functors from compact to Banach algebras
On graph -algebras with a linear ideal lattice.
On some isomorphism on the category of -spaces.
On the categories and . II
On the Convenient Setting for Real Analytic Mappings.
On the functors Ext¹(E,F) for Fréchet spaces
Order Structures, Traces and Weights on Morita Equivalent C*-Algebras.
Prolongement bornologique de foncteurs d'interpolation et applications
Quelques aspects de la dualité en analyse fonctionnelle
Quotient Banach spaces
Quotient Banach spaces; Multilinear theory
Real Analytic Curves in Fréchet Spaces and Their Duals.
Regolarizzazione delle distribuzioni funtoriali, di una variabile, quasi periodiche, mediante funzioni funtoriali, e loro approssimazioni
Relations between certain theories in functional analysis and general topology
Some extensions on the Sadovskii functor.
Some properties of the tensor product of Schwartz εb-spaces.
We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).
Stable elements of Banach and Fréchet algebras
We introduce an algebraic notion-stability-for an element of a commutative ring. It is shown that the stable elements of Banach algebras, and of Fréchet algebras, may be simply described. Part of the theory of power-series embeddings, given in [1] and [4], is seen to be of a purely algebraic nature. This approach leads to other natural questions.
Stable inverse-limit sequences and automatic continuity
The elementary theory of stable inverse-limit sequences, introduced in stable inverse-limit sequences, is used to extend the 'stability lemma' of automatic continuity theory.
Stable inverse-limit sequences, with application to Predict algebras
The notion of a stable inverse-limit sequence is introduced. It provides a sufficient (and, for sequences of abelian groups, necessary) condition for the preservation of exactness by the inverse-limit functor. Examples of stable sequences are provided through the abstract Mittag-Leffler theorem; the results are applied in the theory of Fréchet algebras.
Strong duals of projective limits of (LB)-spaces
We investigate the problem when the strong dual of a projective limit of (LB)-spaces coincides with the inductive limit of the strong duals. It is well-known that the answer is affirmative for spectra of Banach spaces if the projective limit is a quasinormable Fréchet space. In that case, the spectrum satisfies a certain condition which is called “strong P-type”. We provide an example which shows that strong P-type in general does not imply that the strong dual of the projective limit is the inductive...