Prehermitian Elements and B*-Algebras.
Projective limits of topological algebras
Properties of the spectral radius in Banach algebras
Propriétés multiplicatives universelles de certains quotients d'algèbres de Fréchet
Pseudo-Banach algebras
Pseudo-inverses, holomorphic functions and Atkinson theory in Banach algebras.
Quasimultipliers on -algebras.
Rank and the Drazin inverse in Banach algebras
Let A be an arbitrary, unital and semisimple Banach algebra with nonzero socle. We investigate the relationship between the spectral rank (defined by B. Aupetit and H. Mouton) and the Drazin index for elements belonging to the socle of A. In particular, we show that the results for the finite-dimensional case can be extended to the (infinite-dimensional) socle of A.
Rank one elements in Banach algebras
Rank, trace and determinant in Banach algebras: generalized Frobenius and Sylvester theorems
As a follow-up to a paper of Aupetit and Mouton (1996), we consider the spectral definitions of rank, trace and determinant applied to elements in a general Banach algebra. We prove a generalization of Sylvester's Determinant Theorem to Banach algebras and thereafter a generalization of the Frobenius inequality.
Real Banach Algebras. II.
Real Gelfand-Mazur algebras.
Real Gel'fand-Mazur division algebras.
Regular quasimultipliers of some semisimple Banach algebras
Remarks on quasicentral approximate identities.
Report on K-theory for convenient algebras. II.
Representation of locally convex algebras.
We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
Representation theory of locally -convex topological algebras
Representations of bornological algebras.
Representations of tensor product L.M.C.*-Algebras 1.