Tauberian-like classes of operators
This chapter is concerned with some classes of operators that, as tauberian operators do, preserve isomorphic properties. It is convenient to introduce these classes axiomatically in order to systematize their study and understand their relationship with operator ideals. This is done in Section 6.1 by introducing the concept of operator semigroup. We describe some concrete examples and give some general constructions that provide operator semigroups.
KeywordsBanach Space Operator Ideal Compact Operator Closed Subspace Dimensional Subspace
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