Einfache Moduln über gewissen Banachschen Algebren: Ein Imprimitivitätssatz .
Elementary operators and subhomogeneous -algebras. II.
Elements of C*-algebras commuting with their Moore-Penrose inverse
We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.
Elements of finite closed descent in Banach and Fréchet algebras
This paper will give a brief survey of ideas related to 'elements of finite closed descent' in certain kinds of topological algebra.
Embedding C(K) in B(X).
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.
Entire functions and -convex structure in commutative Baire 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.
Erratum to “Can ever be amenable?” (Studia Math. 188 (2008), 151-174)
Erratum to: Derivation Algebras of JB-Algebras.
Erratum to "On the Facial Structure of the Unit Ball of a GM-Space", Math. Z. 193, 597-611 (1986).
Etude d'ensembles de Ditkin fort dans les algèbres tensorielles et les algèbres de groupe.
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...
Every nilpotent operator fails to determine the complete norm topology.
Existence of a multiplicative functional and joint spectra
Existence of solutions for operator inclusions : a unified approach
Expansional in banach algebras
Exponential bounds for noncommuting systems of matrices
It is shown that a finite system T of matrices whose real linear combinations have real spectrum satisfies a bound of the form . The proof appeals to the monogenic functional calculus.
Extension d'un Théorème de Harte et Applications aux Algèbres de Jordan-Banach.