Wild spectral behaviour of anharmonic oscillators

Authors
Davies, EB
Citation
Eb. Davies, Wild spectral behaviour of anharmonic oscillators, B LOND MATH, 32, 2000, pp. 432-438
Citations number
10
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
32
Year of publication
2000
Part
4
Pages
432 - 438
Database
ISI
SICI code
0024-6093(200007)32:<432:WSBOAO>2.0.ZU;2-9
Abstract
We show that the norms of the sequence of spectral projections of certain n on-self-adjoint ordinary differential operators cannot be polynomially boun ded. The proof involves the investigation of 'tame' biorthogonal systems in Banach spaces.