948 resultados para c-Invariant Hermitian Form


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Acknowledgements This work was supported by funding of the Academy of Finland (259505), Helsinki University Research grant (490085) and ESCMID grant (4720572) to D.P.F., University of Pittsburgh Central Research Development Fund to X.L., Technology Strategy Board grant (131181) to W.H., M.J. and J.H.N. National Programme of Sustainability I of the Ministry of Education of the Czech Republic I grant (LO1416) to T.G.

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Peer reviewed

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A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit an analytic Toeplitz operator whose adjoint is universal in the sense of Rota and commutes with a quasi-nilpotent injective compact operator with dense range. In articular, this new universal operator invites an approach to the Invariant Subspace Problem that uses properties of operators that commute with the universal operator.

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General note: Title and date provided by Bettye Lane.

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