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
Pages :
22
From page :
4229
To page :
4250
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
Serial Year :
2010
Journal title :
Journal of Functional Analysis
Record number :
840214
Link To Document :
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