Embedding locally convex algebras in non A-convex algebras without non-zero continuous multiplicative linear functionals
Entire functions and equicontinuity of power maps in Baire algebras.
We obtain that the power maps are equicontinuous at zero in any Baire locally convex algebra with a continuous product in which all entire functions operate; whence is m-convex in the commutative case. As a consequence, we get the same result of Mityagin, Rolewicz and Zelazko for commutative B0-algebras.
Equicontinuity of power maps in locally pseudo-convex algebras
We show that, in any unitary (commutative or not) Baire locally pseudo-convex algebra with a continuous product, the power maps are equicontinuous at zero if all entire functions operate. We obtain the same conclusion if every element is bounded. An immediate consequence is a result of A. Arosio on commutative and complete metrizable locally convex algebras.
Eventually positive elements in ordered Banach algebras
In ordered Banach algebras, we introduce eventually and asymptotically positive elements. We give conditions for the following spectral properties: the spectral radius belongs to the spectrum (Perron--Frobenius property); the spectral radius is the only element in the peripheral spectrum; there are positive (approximate) eigenvectors for the spectral radius. Recently such types of results have been shown for operators on Banach lattices. Our results can be viewed as a complement, since our structural...
Existence of a multiplicative functional and joint spectra
Existence of solutions for operator inclusions : a unified approach
Extensiones finitogeneradas y proyectivas de un álgebra m-convexa.