Spectral theory in ordered Banach algebras

S Mouton, H Raubenheimer - Positivity, 2017 - Springer
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r-Fredholm theory in Banach algebras

R Benjamin, NJ Laustsen, S Mouton - Glasgow Mathematical Journal, 2019 - cambridge.org
Harte (1982, Math. Z. 179, 431–436) initiated the study of Fredholm theory relative to a unital
homomorphism T: A→ B between unital Banach algebras A and B based on the following …

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 …

A Note on the Order Lozanovsky Spectrum for Positive Operators

R Benjamin, C Budde - Complex Analysis and Operator Theory, 2023 - Springer
A Note on the Order Lozanovsky Spectrum for Positive Operators | Complex Analysis and
Operator Theory Skip to main content SpringerLink Account Menu Find a journal Publish with …

Spectral mapping theorems for the upper Weyl and upper Browder spectra.

R Benjamin - QM-Quaestiones Mathematicae, 2018 - search.ebscohost.com
UPPER, VVEYIL, AND UPPER BROWDER SPECTRA Page 1 Quaestiones Mathematicae
41(7) 2018: 951–961 (c) 2018 NISC (Pty) Ltd http://dx.doi.org/10.2989/16073606.2017.1417924 …

Inheritance Properties of Positive Cones Induced by Subalgebras and Quotients of Ordered Banach Algebras

K Muzundu - Positivity and its Applications: Positivity X, 8-12 July …, 2021 - Springer
Inheritance Properties of Positive Cones Induced by Subalgebras and Quotients of Ordered
Banach Algebras | SpringerLink Skip to main content Advertisement SpringerLink Account …

A note on the lower Weyl and Lozanovsky spectra of a positive element

R Benjamin, S Mouton - Positivity, 2018 - Springer
One of the central problems investigated in Alekhno (Positivity 11 (3): 375–386, 2007,
Positivity 13 (1): 3–20, 2009) is that of providing conditions under which the spectral radius …

Some Basic Results on Banach Dialgebra

OJ Ogunsola, A Abdulkareem… - Available at SSRN …, 2021 - papers.ssrn.com
Some basic results on Banach dialgebras 1 Introduction Page 1 Some basic results on Banach
dialgebras OJ Ogunsolaa, AO Abdulkareemb and IE Danielc a,c Department of Mathematics …

The convergence of Abel averages and application to ordered Banach algebras

A Tajmouati, F Barki - Positivity, 2021 - Springer
Abstract Let B (X) B (X) be the Banach algebra of all bounded linear operators on a Banach
space X into itself. In this paper, we extend and simplify some results concerning the …

The upper browder spectrum in commutatively ordered banach algebras

S Mumba - 2021 - dspace.unza.zm
A commutatively ordered Banach algebra (COBA) is a complex unital Banach algebra A
containing a subset C, called an algebra c-cone, such that C contains the unit of A and is …