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math.FA2018★ 27 cited
The Cauchy dual and 2-isometric liftings of concave operators
Catalin Badea, Laurian Suciu
We present some 2-isometric lifting and extension results for Hilbert space concave operators. For a special class of concave operators we study their Cauchy dual operators and dis…
math.FA2018★ 3 cited
Similarity problems, Folner sets and isometric representations of amenable semigroups
Catalin Badea, Laurian Suciu
We revisit Sz.-Nagy's criteria for similarity of Hilbert space bounded linear operators to isometries or unitaries and present new ones. We also discuss counterparts of the Dixmier…