Title of article :
Transitive algebras and reductive algebras on
reproducing analytic Hilbert spaces
Author/Authors :
Guozheng Cheng، نويسنده , , Kunyu Guo، نويسنده , , Kai Wang، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
In this paper, we consider the well-known transitive algebra problem and reductive algebra problem
on vector valued reproducing analytic Hilbert spaces. For an analytic Hilbert space H(k) with complete
Nevanlinna–Pick kernel k, it is shown that both transitive algebra problem and reductive algebra problem
on multiplier invariant subspaces of H(k) ⊗ Cm have positive answer if the algebras contain all analytic
multiplication operators. This extends several known results on the problems.
© 2010 Elsevier Inc. All rights reserved.
Keywords :
Complete NP kernel , Transitive algebra property , Reductive algebra property , Fiber dimension
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis