Add to ORKGThis paper illustrates some initial steps taken in the effort of unifying the theory of positivity in ordered Banach algebas (OBAs) with the general Fred-holm theory in Banach algebras. We introduce here upper Weyl and upper Browder elements in an OBA relative to an arbitrary Banach algebra homomorphism and investigate the spectra corresponding to the sets of upper Weyl and upper Browder elements, which we shall refer to as the upper Weyl and upper Browder spectra, respectively.Mathematics Subject Classication (2010): 46H05, 47A10, 47B65.Key words: Fredholm, Weyl and Browder theory, ordered Banach algebra, upper Weyland upper Browder theory
summary:An operator $T$ acting on a Banach space $X$ possesses property $({\rm gw})$ if $\sigma _a(T...
We shall consider properties which are related to Weyl type theorem for bounded linear operators , d...
AbstractR. DeMarr (unpublished) has begun a study of Banach algebras as sub-algebras of partially or...
We discuss the spectral mapping properties of the upper Weyl and upper Browder spectra of an arbitra...
Since its inception, Fredholm theory has become an important aspect of spectral theory. Among the s...
summary:We show that the index defined via a trace for Fredholm elements in a Banach algebra has the...
summary:We show that the index defined via a trace for Fredholm elements in a Banach algebra has the...
summary:We investigate the relationship between the regularities and the Fredholm theory in a Banach...
AbstractIn this paper we study the general setting of Fredholm theory relative to a Banach algebra h...
In this paper we characterize perturbation ideals of sets that generate the familiar spectra in Fred...
We study positive representations through structures called crossed products of Banach algebras. The...
Spectral theory in ordered Banach algebras (OBAs) has been investigated and several authors have mad...
This monograph concerns the relationship between the local spectral theory and Fredholm theory of bo...
During the last twenty-five years, the development of the theory of Banach lattices has stimulated n...
During the last twenty-five years, the development of the theory of Banach lattices has stimulated n...
summary:An operator $T$ acting on a Banach space $X$ possesses property $({\rm gw})$ if $\sigma _a(T...
We shall consider properties which are related to Weyl type theorem for bounded linear operators , d...
AbstractR. DeMarr (unpublished) has begun a study of Banach algebras as sub-algebras of partially or...
We discuss the spectral mapping properties of the upper Weyl and upper Browder spectra of an arbitra...
Since its inception, Fredholm theory has become an important aspect of spectral theory. Among the s...
summary:We show that the index defined via a trace for Fredholm elements in a Banach algebra has the...
summary:We show that the index defined via a trace for Fredholm elements in a Banach algebra has the...
summary:We investigate the relationship between the regularities and the Fredholm theory in a Banach...
AbstractIn this paper we study the general setting of Fredholm theory relative to a Banach algebra h...
In this paper we characterize perturbation ideals of sets that generate the familiar spectra in Fred...
We study positive representations through structures called crossed products of Banach algebras. The...
Spectral theory in ordered Banach algebras (OBAs) has been investigated and several authors have mad...
This monograph concerns the relationship between the local spectral theory and Fredholm theory of bo...
During the last twenty-five years, the development of the theory of Banach lattices has stimulated n...
During the last twenty-five years, the development of the theory of Banach lattices has stimulated n...
summary:An operator $T$ acting on a Banach space $X$ possesses property $({\rm gw})$ if $\sigma _a(T...
We shall consider properties which are related to Weyl type theorem for bounded linear operators , d...
AbstractR. DeMarr (unpublished) has begun a study of Banach algebras as sub-algebras of partially or...