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NORM ONE PROJECTIONS ON BANACH SPACES

✍ Scribed by Gaur, A. K.

Book ID
118160291
Publisher
Taylor and Francis Group
Year
2001
Tongue
English
Weight
91 KB
Volume
24
Category
Article
ISSN
1607-3606

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We show that for the KΓΆthe 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 (Β΅)