On multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems
Multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems are obtained.
Multi-dimensional generalizations of the Wiener-Żelazko and Lévy-Żelazko theorems are obtained.
We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent to maximal finite rank elements.
Let a real Banach algebra A with unit be ordered by an algebra cone K. We study the elements a ∈ A with exp(ta) ∈ K, t≥ 0.
We give a spectral characterisation of rank one elements and of the socle of a semisimple Banach algebra.
Without the "scarcity lemma", two kinds of "rank one elements" are identified in semisimple Banach algebras.
We investigate the relationship between the regularities and the Fredholm theory in a Banach algebra.