On the decomposition of families of quasinormal operators
AbstractThe canonical injective decomposition of a jointly quasinormal family of operators is given. Relations between the decomposition of a quasinormal operator T and the decomposition of a partial isometry in the polar decomposition of T are described. The decomposition of pairs of commuting quasinormal partial isometries and its applications to pairs of commuting quasinormal operators is shown. Examples are given.
|Journal series||Opuscula Mathematica, ISSN 1232-9274, (B 11 pkt)|
|Publication size in sheets||0.95|
|Keywords in English||multiple canonical decomposition, quasinormal operators, partial isometry|
|Score|| = 10.0, 26-07-2017, ArticleFromJournal|
= 11.0, 26-07-2017, ArticleFromJournal
|Citation count*||2 (2020-04-01)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.