Multiplication operators on L(Lp) and ℓp-strictly singular operators ∗

A classification of weakly compact multiplication operators on L(Lp), 1 < p < ∞, is given. This answers a question raised by Saksman and Tylli in 1992. The classification involves the concept of ℓp-strictly singular operators, and we also investigate the structure of general ℓp-strictly singul...

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Bibliographic Details
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Published: 2008
Subjects:
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.248.2368
http://arxiv.org/pdf/0708.0560v1.pdf