Multiplication operators on L(Lp) and lp-strictly singular operators
نویسندگان
چکیده
منابع مشابه
NARROW AND l2-STRICTLY SINGULAR OPERATORS FROM Lp
In the first part of the paper we prove that for 2 < p, r < ∞ every operator T : Lp → lr is narrow. This completes the list of sequence and function Lebesgue spaces X with the property that every operator T : Lp → X is narrow. Next, using similar methods we prove that every l2-strictly singular operator from Lp, 1 < p < ∞, to any Banach space with an unconditional basis, is narrow, which partia...
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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 `p-strictly singular operators, and we also investigate the structure of general `p-strictly singular operators on Lp. The main result is that if an operator T on Lp, 1 < p < 2, is `p-strictly singular ...
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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 `p-strictly singular operators, and we also investigate the structure of general `p-strictly singular operators on Lp . The main result is that if an operator T on Lp , 1 < p < 2, is `p-strictly singula...
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متن کاملA ug 2 00 7 Multiplication operators on L ( L p ) and l p - 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 singular operators on Lp. The main result is that if an operator T on Lp, 1 < p < 2, is lp-strictly singular ...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2008
ISSN: 1435-9855
DOI: 10.4171/jems/141