Let $ T $ be a positive operator on a complex Banach lattice. It is a long open problem
whether the peripheral spectrum $\sigma_ {\operatorname {per}}(T) $ of $ T $ is always …

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 …

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 …

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 …

The aim of this paper is to introduce a concept of a cone inner product space over Banach
algebras. This is done by replacing the co-domain of the classical inner product space by an …

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 …

The following problem in an OBA (ordered Banach algebra) has been studied by various
authors: If a and b are positive elements in an OBA such that 0= a= b and if b has a certain …

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

An ordered Banach algebra A, which is also a C*-algebra with positive involution, is called
an ordered C*-algebra. Elementary properties of such algebras are studied. In particular, the …