Elementary operators and subalgebras

Keith J. Coates
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Keith J. Coates: Texas A&M University, Department of Mathematics

A chapter in Algebraic Methods in Operator Theory, 1994, pp 49-51 from Springer

Abstract: 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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0255-4_6

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DOI: 10.1007/978-1-4612-0255-4_6

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