Résumé:
For a Banach space the notions of generalized Kato linear relation and the corresponding
spectrum are introduced and studied. We show that the symmetric di erence between the generalized
Kato spectrum and the Goldberg spectrum of multivalued linear operators in Banach spaces is at most
countable. The obtained results are used to describe the generalized Kato spectrum of the inverse of the
left shift operator regarded as a linear relation.
