Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619153 | Journal of Mathematical Analysis and Applications | 2010 | 7 Pages |
Abstract
Necessary conditions and sufficient conditions are given for an operator acting on a separable Hilbert space whose root spaces are pairwise orthogonal and have dense linear span to admit spectral synthesis; that is, for each of its closed invariant subspaces to be the closed linear span of the root vectors it contains.
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