Some examples of Tauberian operators

Álvarez, Teresa; González, Manuel

doi:10.1090/S0002-9939-1991-1033955-X

Some examples of Tauberian operators
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by Teresa Álvarez and Manuel González PDF

Proc. Amer. Math. Soc. 111 (1991), 1023-1027 Request permission

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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