More spectral theory in ordered Banach algebras
S Mouton, H Raubenheimer - Positivity, 1997 - Springer
We continue our development of spectral theory for positive elements in an ordered Banach
algebra. In particular we provide a suitable version of the Krein-Rutman theorem, obtain …
algebra. In particular we provide a suitable version of the Krein-Rutman theorem, obtain …
The irreducibility in ordered Banach algebras
EA Alekhno - Positivity, 2012 - Springer
Let A be an ordered Banach algebra. Put OI (A)={b ∈ A: 0 ≤ b ≤ e, b^ 2= b\}, where e is a
unit of A. An element z≥ 0 is said to be order continuous if b_ α ↓ 0 implies b_ α z ↓ 0 and …
unit of A. An element z≥ 0 is said to be order continuous if b_ α ↓ 0 implies b_ α z ↓ 0 and …
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 …
Convergence properties of positive elements in Banach algebras
S Mouton - Mathematical Proceedings of the Royal Irish Academy, 2002 - muse.jhu.edu
We recall the definition and properties of an algebra cone in an ordered Banach algebra
and continue to develop spectral theory for the positive elements. If ($ a_ {n} $) is a …
and continue to develop spectral theory for the positive elements. If ($ a_ {n} $) is a …
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
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Ordered Banach algebras and multi-norms: some open problems
AW Wickstead - Positivity, 2017 - Springer
Ordered Banach algebras and multi-norms: some open problems | Positivity Skip to main
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Algebra cone generalized -metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings
A Ahmed, JN Salunke - Asian-European Journal of Mathematics, 2018 - World Scientific
In this paper, we introduce the concept of algebra cone generalized b-metric space over
Banach algebra by replacing the constant s≥ 1 with r (s)≥ 1 where r (s) is the spectral …
Banach algebra by replacing the constant s≥ 1 with r (s)≥ 1 where r (s) is the spectral …