In:
Communications in Mathematical Physics, Springer Science and Business Media LLC, Vol. 398, No. 2 ( 2023-03), p. 627-653
Abstract:
We study transfer operators associated to piecewise monotone interval transformations and show that the essential spectrum is large whenever the Banach space bounds $$L^\infty $$ L ∞ and the transformation fails to be Markov. Constructing a family of Banach spaces we show that the lower bound on the essential spectral radius is optimal. Indeed, these Banach spaces realise an essential spectral radius as close as desired to the theoretical best possible case.
Type of Medium:
Online Resource
ISSN:
0010-3616
,
1432-0916
DOI:
10.1007/s00220-022-04531-6
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2023
detail.hit.zdb_id:
1458931-X
detail.hit.zdb_id:
220443-5