Generalization of Kato's decomposition
Zakariae Aznay, Abdelmalek Ouahab, Hassan Zariouh
TL;DR
This paper extends Kato's decomposition theorem to a broader class of semi-B-Fredholm operators, enhancing the theoretical framework for analyzing operator decompositions.
Contribution
It introduces a generalized form of Kato's decomposition applicable to semi-B-Fredholm operators, expanding existing mathematical tools.
Findings
Generalization of Kato's decomposition achieved
Applicable to semi-B-Fredholm operators
Provides new insights into operator theory
Abstract
The Kato's decomposition \cite[Theorem 4]{kato} is generalized to semi-B-Fredholm operators.
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Taxonomy
TopicsHolomorphic and Operator Theory · Spectral Theory in Mathematical Physics · Matrix Theory and Algorithms