𝔖 Bobbio Scriptorium
✦   LIBER   ✦

M-Ideals and the "Basic Inequality"

✍ Scribed by D. Werner

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
397 KB
Volume
76
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

Two methods which can be used to show that, on a Banach space (X), every bounded linear operator has a best compact approximation, namely the basic inequality method and the method of (M)-ideals, are shown to be basically equivalent. Thus, the paper responds to a question posed by S. Axler, I. D. Berg, N. Jewell, and A. Shields (1979, Ann. of Math. 109, 601-612; 1980, Trans. Amer, Marh. Soc. 261, 159-167). ( 1994 Academic Press. Inc.

πŸ“œ SIMILAR VOLUMES

Smooth Points and M-Ideals
Smooth Points and M-Ideals
✍ R. Grzaslewicz; R. Younis πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 174 KB
The Differential Ideal [ P ] : M∞
The Differential Ideal [ P ] : M∞
✍ Sally Morrison πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 442 KB

Let F be a finite subset of the differential polynomial algebra k{y 1 , . . . , yn}. In order to determine membership in the radical differential ideal {F }, one is led to express {F } as the intersection of differential ideals of the form [P ] : M ∞ for suitable subsets P and M of k{y 1 , . . . , y