carpathian_2022_38_3_619_630Certain bounded linear operators 
on a complex Hilbert space 
which have 2-isometric liftings 
on another space 
are being investigated. We refer also to a more special type of liftings, as well as to those which additionally meet the condition 
. Furthermore we describe other types of dilations for , which are close to 2-isometries. Among these we refer to expansive (concave) operators and also to Brownian unitary dilations. Different matrix representations for such operators are obtained, where matrix entries involve contractive operators.
Additional Information
| Author(s) | Suciu, Laurian |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2022.03.08 |
Recently posted
-
Stability of new functional equations and partial multipliers in Banach *-algebras
-
Characterizations of amenable gyrogroups related to Tarski's Theorem
-
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
-
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
-
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
-
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
-
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
-
Consequences of the product rule in Stieltjes differentiability
-
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
-
A quaternionic product of simple ratios