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The spectral picture and the closure of the similarity orbit of strongly irreducible operators
An operator on a complex, separable, infinite dimensional Hilbert space is strongly irreducible if it does not commute with any nontrivial idempotent. This article answers the following questions of D. A. Herr...
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Article
The strongly irreducible operators in nest algebras
An operatorT on \(\mathcal{H}\) is called strongly irreducible ifT does not commute with any nontrivial idempotent o...
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About Operator Weighted Shift
Let ℋ be a complex seperable Hilbert space and ℒ(ℋ ) denote the collection of bounded linear operators on ℋ . For an operator in ℒ(ℋ ), rad{A}' denotes the Jacobson radical of the commutant of A. This paper chara...