Dual of two dimensional Lorentz sequence spaces
β Scribed by Ken-Ichi Mitani; Kichi-Suke Saito
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 978 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
## I. Arithmetic and Geometric Means Several important inequalities involving arithmetic and geometric means, may be found in the literature. The well known POPOVICIU'S inequality ([I], [3]) reads ## (anlgn)n z(an-llgn-l)n-l When dealing with a question on LORENTZ spaces, we proved a stronger r
The nonsquare or James constant J X and the Jordan-von Neumann constant C NJ X are computed for two-dimensional Lorentz sequence spaces d 2 w q in the case where 2 β€ q < β. The Jordan-von Neumann constant is also calculated in the case where 1 β€ q < 2.