Abstract
Let J be the integration operator defined on L p [0,1], let J α, α > 0, be its positive powers, and let B be a nonsingular n ß n diagonal matrix. The lattices of invariant and hyperinvariant subspaces of the Volterra operator J α ⊗ B defined on L p [0,1] ⊗ ℂn are described in geometric terms
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Malamud, M.M. (1998). Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators. In: Gohberg, I., Mennicken, R., Tretter, C. (eds) Differential and Integral Operators. Operator Theory: Advances and Applications, vol 102. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8789-2_12
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DOI: https://doi.org/10.1007/978-3-0348-8789-2_12
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