Displaying similar documents to “Homogeneous operators”

A quasi-affine transform of an unbounded operator

Schôichi Ôta (1995)

Studia Mathematica

Similarity:

Some results on quasi-affinity for bounded operators are extended to unbounded ones and normal extensions of an unbounded operator are discussed in connection with quasi-affinity.

On s-sets in spaces of homogeneous type

Marilina Carena, Marisa Toschi (2015)

Colloquium Mathematicae

Similarity:

Let (X,d,μ) be a space of homogeneous type. We study the relationship between two types of s-sets: relative to a distance and relative to a measure. We find a condition on a closed subset F of X under which F is an s-set relative to the measure μ if and only if F is an s-set relative to δ. Here δ denotes the quasi-distance defined by Macías and Segovia such that (X,δ,μ) is a normal space. In order to prove this result, we prove a covering type lemma and a type of Hausdorff measure based...