Full operators and algebras generated by invertible operators

Mathematics – Functional Analysis

Scientific paper

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5 pages

Scientific paper

In the present work we characterized full operators and we showed some
properties that have nonfull injectives operators. With the results developed
for full operators, we affirmatively respond two questions formulated by Bravo
and Feintuch on when the inverse of an operator can be weakly approximated by
polynomials in the operator

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