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LetXbe a complex Banach space. IfΦ: B (X)→ B (X) is a surjective linear map such
thatAandΦ (A) have the same spectral radius for everyA∈ B (X), thenΦ= cΘwhereΘis either …

and that the first papers concerning this case date back to the previous century [1 2]. It
seems that in the last few years the interest for the infinite dimensional situation grows. The …

We give sufficient conditions for a mapping between uniform algebras, in general non-linear,
to be completely characterized by means of algebra isomorphisms. Namely, if A and B are …

Let A1, A2 be standard operator algebras on complex Banach spaces X1, X2, respectively.
For k⩾ 2, let (i1,…, im) be a sequence with terms chosen from {1,…, k}, and define the …

Let A1, A2 be (not necessarily unital or closed) standard operator algebras on locally convex
spaces X1, X2, respectively. For k≥ 2, define different kinds of products T1∗···∗ Tk on …

In this paper, we discuss the linear maps between semi-simple Banach algebras which
compress any one of the spectrum, the left spectrum, the right spectrum, the intersection of …

We continue our development of spectral theory for positive elements in an ordered Banach
algebra. In particular we provide a suitable version of the Krein-Rutman theorem, obtain …

Let A and B be unital complex Banach algebras. A surjective map ϕ: A→ B is called a
spectrally additive group homomorphism if the spectrum of x±y is equal to the spectrum of ϕ …

Let A and B be unital complex algebras, assume that A is a semisimple Banach algebra with
non-zero socle. We prove that under certain conditions every bijective linear map T: A→ B …