Differential equations in Schatten classes of operators
β Scribed by Fernanda Botelho; James E. Jamison
- Book ID
- 106198708
- Publisher
- Springer Vienna
- Year
- 2009
- Tongue
- English
- Weight
- 180 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
We study relations between Schatten classes and product operator ideals, where one of the factors is the Banach ideal Ξ E,2 of (E, 2)-summing operators, and where E is a Banach sequence space with 2 β E. We show that for a large class of 2-convex symmetric Banach sequence spaces the product ideal Ξ E,
Given an inner function y on the upper half-plane C ΓΎ , let K y :ΒΌ H 2 Γ yH 2 be the corresponding star-invariant subspace of the Hardy space H 2 . Earlier we showed that the differentiation operator d dx : K y ! L 2 Γ°RΓ is bounded iff y 0 2 L 1 Γ°RΓ and compact iff y 0 2 C 0 Γ°RΓ. The current problem