Fréchet kernels for body-wave amplitudes
✍ Scribed by F. A. Dahlen; Adam M. Baig
- Book ID
- 104461379
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 779 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0956-540X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A smoothing property (S 0 ) t for Fre chet spaces is introduced generalizing the classical concept of smoothing operators which are important in the proof of Nash Moser inverse function theorems. For Fre chet Hilbert spaces property (0) in standard form in the sense of D. Vogt is shown to be suffici
## Abstract An operator __T__ ∈ __L__(__E, F__) __factors over G__ if __T__ = __RS__ for some __S__ ∈ __L__(__E, G__) and __R__ ∈ __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
We study the bifurcation points of an equation of the form F(u) = λu in a real Hilbert space. Since F is only required to be Hadamard, but not Fréchet, differentiable at u = 0, bifurcation points need not belong to the spectrum of F (0). The abstract results are illustrated in the case of a nonlinea