Norm optimization problem for linear operators in classical Banach spaces
نویسندگان
چکیده
منابع مشابه
Norm optimization problem for linear operators in classical Banach spaces
We prove a linear operator T acting between lp-type spaces attains its norm if, and only if, there exists a not weakly null maximizing sequence for T . For 1 < p 6= q we show that any not weakly null maximizing sequence for a norm attaining operator T : lp → lq has a norm-convergent subsequence. We also prove that for any fixed x0 in lp, the set of operators T : lp → lq that attain their norm a...
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ژورنال
عنوان ژورنال: Bulletin of the Brazilian Mathematical Society, New Series
سال: 2009
ISSN: 1678-7544,1678-7714
DOI: 10.1007/s00574-009-0019-7