Abstract
The Samuel multiplicity and the structure of essentially semi-regular linear relations on a Banach space are considered. First, we give some results concerning Samuel multiplicity for essentially semi-regular linear relations. Second, we study the structure of essentially semi-regular linear relations on an infinite dimensional complex Banach space. Finally, as an application, we get the structure of semi-Fredholm linear relations and we characterize a semi-Fredholm point \(\lambda \in \mathbb {C}\) in an essentially semi-regular domain.
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Álvarez, T., Keskes, S. & Mnif, M. On the Structure of Essentially Semi-Regular Linear Relations. Mediterr. J. Math. 16, 76 (2019). https://doi.org/10.1007/s00009-019-1334-x
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DOI: https://doi.org/10.1007/s00009-019-1334-x
Keywords
- Essentially semi-regular linear relations
- Samuel multiplicity
- Semi-Fredholm linear relation
- Kato decomposition