Fredholm Theory Relative to Any Algebra Homomorphisms

Y Kong, Y Wang, J Yang - Mathematics, 2024 - mdpi.com
In this paper, we give another definition of Ruston elements and almost Ruston elements,
which is equivalent to the definitions given by Mouton and Raubenheimer in the case that …

Idempotent decomposition of regularity and characterization for the accumulation of associated spectrum

Y Liu, L Jiang - Forum Mathematicum, 2024 - degruyter.com
Let 𝒜 be a complex unital Banach algebra and let R⊆ 𝒜 be a non-empty set. This paper
defines the property such that R is closed for idempotent decomposition (in short,(CID) …

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 …

r-Fredholm theory in ordered Banach algebras

R Benjamin, S Mouton - Positivity, 2020 - Springer
The introduction of Fredholm theory relative to general unital homomorphisms T: A → BT:
A→ B between Banach algebras A and B, which involves the study of Fredholm, Weyl and …