ACTA issues

Pluquasisimilar Hilbert space operators

László Kérchy

Acta Sci. Math. (Szeged) 86:3-4(2020), 503-520

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.)