## Abstract This article deals with the relationship between an operator ideal and its natural polynomial extensions. We define the concept of coherent sequence of polynomial ideals and also the notion of compatibility between polynomial and operator ideals. We study the stability of these properti
β¦ LIBER β¦
Notes on Banach Ideals
β Scribed by Victor M. Onieva
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 368 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
The aim of the present artiole is to study two constructiom of new space ideals from given ones. Properties of some classes of BANAOH spaces scattered in the literature are obtained as particular cases of the above constructions.
1. Preliminaries
Let B be the class of all BANACH spaces. A space ideal is a subclass A c B satis-(SI,,) The 1-dimensional BANACH space K belongs to A .
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