Ordered Banach algebras and multi-norms: some open problems | Positivity Skip to main
content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Positivity …

Let A be an ordered Banach algebra and a, b∈ A such that 0≤ a≤ b. The domination
problem involves finding natural conditions under which properties of b will be inherited by …

A Perron–Frobenius type result in Banach algebras via asymptotic closeness to a cone |
Positivity Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …

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 an ordered Banach algebra and $ a, b\in A $ such that $0\leq a\leq b $. The
domination problem involves finding natural conditions under which properties of $ b $ will …

A note on Huijsmans-de Pagter problem in ordered Banach algebras | SpringerLink Skip to
main content Advertisement SpringerLink Log in Menu Find a journal Publish with us …

Abstract Let B (X) B (X) be the Banach algebra of all bounded linear operators on a Banach
space X into itself. In this paper, we extend and simplify some results concerning the …

The spectral properties of a compact operator T: X−→ Y on a normed linear space resemble
those of square matrices. For a compact operator, the spectral properties can be treated …

The introduction of Fredholm theory relative to general unital homomorphisms T: A → BT:
A→ B between Banach algebras A and B, which involves the study of Fredholm, Weyl and …

In this research, we study spectral theory in ordered Banach algebras. Spectral theory in
ordered Banach algebras has only been studied in the last two and half decades, and there …