Article ID Journal Published Year Pages File Type
4616124 Journal of Mathematical Analysis and Applications 2014 10 Pages PDF
Abstract

This paper investigates when a bounded operator on Hilbert space has the property that its square is similar to to the direct sum of it with itself. A few general results are obtained and the normal operators and unilateral shifts having this property are characterized. Several additional examples are explored.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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