If μis a finite compactly supported measure on C, then the set Sμ of multiplication operators Mᵩ : L2 (μ) --> L2 (μ), Mᵩ f = ᵩ f, where ᵩ ϵ L ∞ (μ) is injective on a set of full μ measure, is the complete set of cyclic multiplication operators on L2 (μ) In this paper, we explore the question as to whether or not Sμ has a common cyclic vector
Copyright © 2004 Indiana University Mathematics Journal. This article first appeared in Indiana University Mathematics Journal 53:6 (2004) 1537-1550.
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Ross, William T., and Warren R. Wogen. "Common Cyclic Vectors for Normal Operators." Indiana University Mathematics Journal 53, no. 6 (2004): 1537-1550. doi:10.1512/iumj.2004.53.2559.