Rigidity of weighted composition operators on H-p



: Mikael Lindström, Santeri Miihkinen, Pekka J. Nieminen

Publisher: SUOMALAINEN TIEDEAKATEMIA

: 2020

: Annales Academiae Scientiarum Fennicae. Mathematica

: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

: ANN ACAD SCI FENN-M

: 45

: 825

: 828

: 4

: 1239-629X

DOI: https://doi.org/10.5186/aasfm.2020.4537(external)

: http://www.acadsci.fi/mathematica/Vol45/LindstromMiihkinenNieminen.html(external)


We show that every non-compact weighted composition operator f bar right arrow u . (f omicron phi) acting on a Hardy space H-p for 1 <= p < infinity fixes an isomorphic copy of the sequence space lp and therefore fails to be strictly singular. We also characterize those weighted composition operators on Hp which fix a copy of the Hilbert space l(2). These results extend earlier ones obtained for unweighted composition operators.



Last updated on 2024-26-11 at 11:50