We study Aluthge transforms of left invertible shift operators on reproducing kernel Hilbert
spaces (RKHS), and in particular, on tridiagonal spaces. The Aluthge transform of a …

For a bounded operator S on a general Hilbert space K, its Aluthge transform S is defined as
S:= AS Us AS, where AS:=| S| 1/2 and Us is the minimal partial isometry establishing the …

An n-by-n matrix is called almost normal if the maximal cardinality of a set of orthogonal
eigenvectors is at least n-1. We give several basic properties of almost normal matrices, in …

The algorithm for the symbolic computation of the Aluthge transform of a polynomial matrix is
derived in this paper. For this purpose, the well-known PSVD by PQRD algorithm is …

For a bounded operator S on a general Hilbert space K, its Aluthge transform S is defined as
S:= AS Us AS, where AS:=| S| 1/2 and US is the minimal partial isometry establishing the …

Cette thèse s' articule autour de deux thèmes: une transformation de B (H) introduite par
Aluthge et la méthode d'Ansari-Enflo. La première partie fait l'objet de l'étude de la …

Aluthge transform is a good tool for studying some operator classes. Especially, it is used in
the reserach on semi-hyponormal and p-hyponormal operators by many authors. Recently …