Abstract. In [BJKP] the concept of pluquasisimilarity was introduced, which is a relation between two operators, implemented by systems of intertwining mappings. In this note we carry out a detailed analysis of this and related connections, compare them, explore their properties, and pose some relevant questions.
DOI: 10.14232/actasm-020-973-4
AMS Subject Classification
(1991): 47A15, 47A45, 47A65, 47B20
Keyword(s):
intertwining relations,
quasisimilarity,
hyperinvariant subspace,
quasinormal operator,
isometry,
unilateral shift
received 23.2.2020, revised 30.4.2020, accepted 30.4.2020. (Registered under 223/2020.)
|