Criteria for positively quadratically hyponormal weighted shifts

Autor: Ju Youn Bae, Il Bong Jung, George R. Exner
Rok vydání: 2002
Předmět:
Zdroj: Proceedings of the American Mathematical Society. 130:3287-3294
ISSN: 1088-6826
0002-9939
DOI: 10.1090/s0002-9939-02-06493-6
Popis: For bounded linear operators on Hilbert space, positive quadratic hyponormality is a property strictly between subnormality and hyponormality and which is of use in exploring the gap between these more familiar properties. Recently several related positively quadratically hyponormal weighted shifts have been constructed. In this note we establish general criteria for the positive quadratic hyponormality of weighted shifts which easily yield the results for these examples and other such weighted shifts.
Databáze: OpenAIRE