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Nest algebras in an arbitrary vector space

Hadwin, D. and Harrison, K.J. (2021) Nest algebras in an arbitrary vector space. Operators and Matrices (3). pp. 783-793.

Link to Published Version: https://doi.org/10.7153/oam-2021-15-54
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Abstract

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.

Item Type: Journal Article
Murdoch Affiliation(s): College of Science, Health, Engineering and Education
Publisher: EleMath
URI: http://researchrepository.murdoch.edu.au/id/eprint/62549
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