This paper illustrates some initial steps taken in the effort of unifying the theory of positivity in
ordered Banach algebas (OBAs) with the general Fredholm theory in Banach algebras. We …

Spectral theory in ordered Banach algebras | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Positivity …

Spectral theory in ordered Banach algebras (OBAs) has been investigated and several
authors have made contributions. However, the results are not applicable to non …

A classical problem posed in 1992 by Huijsmans and de Pagter asks whether, for every
positive operator T on a Banach lattice with spectrum σ (T)={1}, the inequality T≥ id holds …

We recall the definition and properties of an algebra cone in an ordered Banach algebra
(OBA) and continue to develop spectral theory for the positive elements. An element a of a …

In this note we continue our study on the upper Browder spectrum initiated in Benjamin and
Mouton (Quaest. Math. 39 (5), 2016). Recall that, for an element a of an ordered Banach …

Let A be a complex unital Banach algebra. An algebra cone in A is a non-empty subset C of
A containing the unit of A and which is closed under addition, multiplication and non …

Let A be a complex Banach algebra with unit 1. A subset C of A is called a cone if C+ C⊆ C
and λC⊆ C for all scalars λ≥ 0. If C satisfies the additional properties that CC⊆ C and 1∈ …

Inheritance Properties of Positive Cones Induced by Subalgebras and Quotients of Ordered
Banach Algebras | SpringerLink Skip to main content Advertisement SpringerLink Account …

One of the central problems investigated in Alekhno (Positivity 11 (3): 375–386, 2007,
Positivity 13 (1): 3–20, 2009) is that of providing conditions under which the spectral radius …