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Classical operators on BLOCH spaces

✍ Scribed by E. S. Dubtsov

Publisher: Springer US
Year: 2010
Tongue: English
Weight: 211 KB
Volume: 165
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-010-9812-5

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We show that for the Köthe space X = c 0 + 1 (w), equipped with the Luxemburg norm, the set of norm attaining operators from X into any infinite-dimensional strictly convex Banach space Y is not dense in the space of all bounded operators. The same assertion holds for any infinitedimensional L 1 (µ)