Spectral decompositions and an extension of a theorem of Atzmon: a couple leading to spectral subspaces for Bishop operators
Appears in collection : Interpolation in Spaces of Analytic Functions / Interpolation dans les espaces de fonctions analytiques
Bishop’s operator arose in the fifties as possible candidates for being counterexamples to the Invariant Subspace Problem. Several authors addressed the problem of finding invariant subspaces for some of these operators; but still the general problem is open. In this talk, we shall discuss about recent results on the existence of invariant subspaces which are indeed spectral subspaces for Bishop operators, by providing an extension of a Theorem of Atzmon (Joint work with M. Monsalve-Lopez).
