Factorization in Frechet Modules
β Scribed by Summers, M. K.
- Book ID
- 120097558
- Publisher
- Oxford University Press
- Year
- 1972
- Tongue
- English
- Weight
- 158 KB
- Volume
- s2-5
- Category
- Article
- ISSN
- 0024-6107
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π SIMILAR VOLUMES
## Abstract An operator __T__ β __L__(__E, F__) __factors over G__ if __T__ = __RS__ for some __S__ β __L__(__E, G__) and __R__ β __L__(__G, F__); the set of such operators is denoted by __L__^__G__^(__E, F__). A triple (__E, G, F__) satisfies __bounded factorization property__ (shortly, (__E, G, F
The reduction of the Ρ¨-problem on a Frechet nuclear space to the study of the Ρ¨-operator on a Hilbert space produces a global solution u when the second member w factors globally through this Hilbert space. Easy counterexamples show that this global factorization is not in general possible and hence