[图书][B] Spectral mapping theorems: a bluffer's guide
R Harte - 2014 - Springer
SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and
applied mathematics. Manuscripts presenting new results or a single new result in a …
applied mathematics. Manuscripts presenting new results or a single new result in a …
Spectral theory in ordered Banach algebras
S Mouton, H Raubenheimer - Positivity, 2017 - Springer
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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 …
Mapping and continuity properties of the boundary spectrum in Banach algebras
S Mouton - Illinois Journal of Mathematics, 2009 - projecteuclid.org
We present further properties of the boundary spectrum $ S_ {\partial}(a)=\{\lambda:\lambda-
a\in\partial S\} $ of $ a $, where $\partial S $ denotes the topological boundary of the set $ S …
a\in\partial S\} $ of $ a $, where $\partial S $ denotes the topological boundary of the set $ S …
Fredholm theory in quaternionic Banach algebras
H Baloudi - Linear and Multilinear Algebra, 2023 - Taylor & Francis
Muraleetharan and Thirulogasanthar (J. Math. Phys. 2018; 59 (10): 103506, 27p.)
introduced the concept of the Calkin S-spectrum of a bounded quaternionic linear operator …
introduced the concept of the Calkin S-spectrum of a bounded quaternionic linear operator …
Generalized spectral perturbation and the boundary spectrum
S Mouton - Czechoslovak Mathematical Journal, 2021 - Springer
By considering arbitrary mappings ω from a Banach algebra A into the set of all nonempty,
compact subsets of the complex plane such that for all a∈ A, the set ω (a) lies between the …
compact subsets of the complex plane such that for all a∈ A, the set ω (a) lies between the …
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 …
Radius preserving (semi) regularities in Banach algebras
H Raubenheimer, A Swartz - Quaestiones Mathematicae, 2019 - Taylor & Francis
Radius preserving (semi)regularities in Banach algebras Page 1 Quaestiones
Mathematicae 2019, 42(6): 811–822 c⃝ 2018 NISC (Pty) Ltd http://dx.doi.org/10.2989/16073606.2018.1501439 …
Mathematicae 2019, 42(6): 811–822 c⃝ 2018 NISC (Pty) Ltd http://dx.doi.org/10.2989/16073606.2018.1501439 …
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 Jacobson Property in Banach algebras
H Raubenheimer, A Swartz - Afrika Matematika, 2022 - Springer
In a Banach algebra A it is well known that the usual spectrum has the following property: σ
( a b ) \ { 0 } = σ ( b a ) \ { 0 } \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …
( a b ) \ { 0 } = σ ( b a ) \ { 0 } \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …