Nest algebras in an arbitrary vector space
classification
🧮 math.RA
math.OA
keywords
algebrasspacearbitrarysubspacesvectorapplyboundedcompare
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We examine the properties of algebras of linear transformations that leave invariant all subspaces in a totally ordered lattice of subspaces of an arbitrary vector space. We compare our results with those that apply for the corresponding algebras of bounded operators that act on a Hilbert space.
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