27 citations · 32 across the 7 of their papers we have counts for
9 papers · 1 filter
Left invertible quasi-isometric liftings
Laurian Suciu, Andra-Maria Stoica
Quasi-isometric liftings similar to isometries, for the operators similar to contractions in Hilbert spaces, are investigated. The existence of such liftings is established, and th…
High order isometric liftings and dilations
Catalin Badea, Vladimir Müller, Laurian Suciu
We show that a Hilbert space bounded linear operator has an -isometric lifting for some integer if and only if the norms of its powers grow polynomially. In analogy wit…
Hilbert space operators with two-isometric dilations
Catalin Badea, Laurian Suciu
A bounded linear Hilbert space operator is said to be a -isometry if the operator and its adjoint satisfy the relation . In this pa…
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…
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…
Harnack and Shmul'yan pre-order relations for Hilbert space contractions
Catalin Badea, Laurian Suciu
We study the behavior of some classes of Hilbert space contractions with respect to Harnack and Shmul'yan pre-orders and the corresponding equivalence relations. We give some condi…
Partial isometries and the conjecture of C. K. Fong and S. K. Tsui
Mostafa Mbekhta, Laurian Suciu
We investigate some bounded linear operators T on a Hilbert space which satisfy the condition |T | less or equal to |ReT |. We describe the maximum invariant subspace for a contrac…
On ergodic operator means in Banach spaces
Alexandru Aleman, Laurian Suciu
We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general con…
Classes of contractions and Harnack domination
Catalin Badea, Laurian Suciu, Dan Timotin
Several properties of the Harnack domination of linear operators acting on Hilbert space with norm less or equal than one are studied. Thus, the maximal elements for this relation…