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Characterizations of compact operators on some Euler spaces of difference sequences of order m

✍ Scribed by Ivana Djolović; Eberhard Malkowsky

Book ID
108422490
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
236 KB
Volume
31
Category
Article
ISSN
0252-9602

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✍ Ülar Kahre; Ly Kirikal; Eve Oja 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

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