### ESSENTIALLY SEMI-REGULAR LINEAR RELATIONS

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#### Abstract

In this paper, we study the essentially semi-regular linear relation operators everywhere defined in Hilbert space. We establish a Kato-type decomposition of essentially semi-regular relations in Hilbert spaces. The result is then applied to study and give some properties of the Samuel-multiplicity.

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DOI: https://doi.org/10.22190/FUMI1704421A

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