Abstract
In this note, we construct an elementary operator on B(H) of length two which leaves invariant a nontrivial triangular subalgebra of B(H) but which cannot be written as a finite sum of elementary operators of length one that each leave the triangular subalgebra invariant.
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© 1994 Springer Science+Business Media New York
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Coates, K.J. (1994). Elementary operators and subalgebras. In: Curto, R.E., Jørgensen, P.E.T. (eds) Algebraic Methods in Operator Theory. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0255-4_6
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DOI: https://doi.org/10.1007/978-1-4612-0255-4_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6683-9
Online ISBN: 978-1-4612-0255-4
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