On the membership of Hankel operators in a class of Lorentz ideals
β Scribed by Fang, Quanlei; Xia, Jingbo
- Book ID
- 124133556
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 707 KB
- Volume
- 267
- Category
- Article
- ISSN
- 0022-1236
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## Abstract In this paper we investigate Hankel operators with antiβholomorphic __L__^2^βsymbols on generalized Fock spaces __A__~__m__~^2^ in one complex dimension. The investigation of the mentioned operators was started in [4] and [3]. Here, we show that a Hankel operator with antiβholomorphic
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