Browsing by Author "Gheondea, Aurelian"

Now showing 1 - 3 of 3

Access status: Open Access ,
A note on Radon-Nikodym derivatives and similarity for completely bounded maps
(2009) Gheondea, Aurelian; Kavruk, Ali Şamil
We point out a relation between the Arveson's Radon-Nikodym derivative and known similarity results for completely bounded maps. We also consider Jordan type decompositions coming out from Wittstock's Decomposition Theorem and illustrate, by an example, the nonuniqueness of these decompositions.
Access status: Open Access ,
On locally Hilbert spaces
(2016) Gheondea, Aurelian
This is an investigation of some basic properties of strictly inductive limits of Hilbert spaces, called locally Hilbert spaces, with respect to their topological properties, the geometry of their subspaces, linear functionals and dual spaces.
Access status: Open Access ,
The spectral theorem for locally normal operators
(Wydawnictwa AGH, 2018) Gheondea, Aurelian
We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the concept of a locally spectral measure.