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On operators which attain their norm

✍ Scribed by Joram Lindenstrauss

Book ID
112884952
Publisher
The Hebrew University Magnes Press
Year
1963
Tongue
English
Weight
504 KB
Volume
1
Category
Article
ISSN
0021-2172

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Let IIAllp,q be the norm induced on the matrix A with n rows and m columns by the Hijlder lP and d, norms on R" and Rm (or C" and C"'), respectively. It is easy to find an upper bound for the ratio llA/l,,/ilA &y. In this paper we study the classes of matrices for which the upper bound is attained.