On the boundary spectrum in Banach algebras
S Mouton - Bulletin of the Australian Mathematical Society, 2006 - cambridge.org
On the boundary spectrum in banach algebras Page 1 BULL. AUSTRAL. MATH. SOC.
46HO5, 46H10, 47A10, 06F25 VOL. 74 (2006) [239-246] ON THE BOUNDARY SPECTRUM …
46HO5, 46H10, 47A10, 06F25 VOL. 74 (2006) [239-246] ON THE BOUNDARY SPECTRUM …
A spectral problem in ordered Banach algebras
S Mouton - Bulletin of the Australian Mathematical Society, 2003 - cambridge.org
We recall the definition and properties of an algebra cone C of a complex unital Banach
algebra A. It can be shown that C induces on A an ordering which is compatible with the …
algebra A. It can be shown that C induces on A an ordering which is compatible with the …
Fredholm theory in ordered Banach algebras
R Benjamin, S Mouton - Quaestiones Mathematicae, 2016 - Taylor & Francis
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 …
ordered Banach algebas (OBAs) with the general Fredholm theory in Banach algebras. We …
Spectral theory in ordered Banach algebras
S Mouton, H Raubenheimer - Positivity, 2017 - Springer
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 …
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Positivity …
Domination by ergodic elements in ordered Banach algebras
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 …
(OBA) and continue to develop spectral theory for the positive elements. An element a of a …
Generalized domination of ergodic elements in ordered Banach algebras
S Mouton, AD Rabearivony - Quaestiones Mathematicae, 2024 - Taylor & Francis
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 …
problem involves finding natural conditions under which properties of b will be inherited by …
A condition for spectral continuity of positive elements
S Mouton - Proceedings of the American Mathematical Society, 2009 - ams.org
Let $ a $ be an element of a Banach algebra $ A $. We introduce a compact subset $ T (a) $
of the complex plane, show that the function which maps $ a $ onto $ T (a) $ is upper …
of the complex plane, show that the function which maps $ a $ onto $ T (a) $ is upper …
The upper Browder spectrum property
R Benjamin, S Mouton - Positivity, 2017 - Springer
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 …
Mouton (Quaest. Math. 39 (5), 2016). Recall that, for an element a of an ordered Banach …
Positive Riesz Operators
U Koumba, H Raubenheimer - Mathematical Proceedings of the …, 2015 - muse.jhu.edu
Positive Riesz Operators Page 1 Positive Riesz Operators U. Koumba, H. Raubenheimer
Mathematical Proceedings of the Royal Irish Academy, Volume 115A, Number 1, 2015, pp. 1-11 …
Mathematical Proceedings of the Royal Irish Academy, Volume 115A, Number 1, 2015, pp. 1-11 …