Cotauberian Operators on L1(0, 1) Obtained by Lifting

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URI: http://hdl.handle.net/10902/7998
ISSN: 0378-620X
ISSN: 1420-8989
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Author
González Ortiz, ManuelAutoridad Unican; Martínez Abejón, AntonioAutoridad Unican
Date
2014
Derechos
© Springer http://dx.doi.org/10.1007/s00020-014-2123-3
Publicado en
Integral Equations and Operator Theory Volume 80, Issue 1, September 2014, Pages 107-116
Publisher
Birkhauser Verlag AG
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Palabras clave
Cotauberian operator
Lifting of operators
Abstract:
ABSTRACT:We show that the set Td(L1(0, 1)) of cotauberian operators acting on L1(0, 1) is not open, and T ? Td(L1(0, 1)) does not imply T** cotauberian. As a consequence, we derive that the set T(L8(0, 1)) of tauberian operators acting on L8(0, 1) is not open, and that T ? T(L8(0,1)) does not imply T** tauberian.
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