Characterizations of Tauberian operators and other semigroups of operators

Gonzalez, M.; Onieva, V. M.

doi:10.1090/S0002-9939-1990-0994777-8

Characterizations of Tauberian operators and other semigroups of operators
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by M. Gonzalez and V. M. Onieva PDF

Proc. Amer. Math. Soc. 108 (1990), 399-405 Request permission

Abstract:

In this paper we present three characterizations of Tauberian operators in terms of: perturbations by compact operators, products with other operators, and restrictions to subspaces. We obtain also analogous characterizations for co-Tauberian operators and for other semigroups of operators related with the Tauberian and co-Tauberian ones.

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