Summary
Structural results about elementary operators of length one, local elementary operators and injectivity preserving maps are proved. These are generalizations of results concerning algebras of bounded operators on Banach spaces to algebras of unbounded operators on Hilbert spaces.
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Timmermann, W. Elementary operators on algebras of unbounded operators. Acta Math Hung 107, 149–160 (2005). https://doi.org/10.1007/s10474-005-0184-0
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DOI: https://doi.org/10.1007/s10474-005-0184-0