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On ideals and Lie ideals of compact operators

✍ Scribed by C. K. Fong; H. Radjavi


Publisher
Springer
Year
1983
Tongue
English
Weight
245 KB
Volume
262
Category
Article
ISSN
0025-5831

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Let X = d v p and Y = d w q be Lorentz sequence spaces. We investigate when the space K X Y of compact linear operators acting from X to Y forms or does not form an M-ideal (in the space of bounded linear operators). We show that K X Y fails to be a non-trivial M-ideal whenever p = 1 or p > q. In th