Invariant subspaces and operator model theory on noncommutative varieties
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DOI: 10.1007/s00208-018-1714-8
Abstract: Let $${{\mathcal {Q}}}\subset {{\mathbb {C}}}\left$$Q⊂CZ1,…,Zn be an arbitrary set of polynomials in noncommutative indeterminates such that $$q(0)=0$$q(0)=0 for all $$q\in {{\mathcal {Q}}}$$q∈Q. The noncommutative variety $$\begin{aligned} {{\mathcal {V}}}_{f,{{\mathcal {Q}}}}^m({{\mathcal {H}}}):=\left\{ { X}=(X_1,\ldots , X_n)\in \mathbf{D}_f^m({{\mathcal… read more here.
Keywords: mathcal mathcal; space; model; operator model ... See more keywords