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Some examples of Tauberian operators

Teresa Álvarez

Proceedings of the American Mathematical Society · 1991 · 25 citations · 10 references

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Abstract

We study some examples of tauberian operators and show that the second conjugate of a tauberian operator is not always tauberian, answering a question of Kalton and Wilansky. Also we show that the class of tauberian operators is not open, although tauberian operators in the boundary of the class must have nonclosed range.

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