Quadratically hyponormal weighted shifts with recursive tail

Authors

George R. Exner, Bucknell UniversityFollow
Il Bong Jung, Kyungpook National UniversityFollow
Mi Ryeong Lee, Kyungpook National UniversityFollow
Sun Hyun Park, Kyungpook National UniversityFollow

Publication Date

2013

Description

We characterize positive quadratic hyponormality of the weighted shift Wα(x) associated to the weight sequence α(x) : 1, 1, √ x, ( √ u, √ v, √ w)∧ with Stampfli recursive tail, and produce an interval in x with non-empty interior in the positive real line for quadratic hyponormality but not positive quadratic hyponormality for such a shift.

Journal

Journal of Mathematical Analysis and Applications

Volume

408

Issue

1

First Page

298

Last Page

305

Department

Mathematics

DOI

10.1016/j.jmaa.2013.05.058

Recommended Citation

Exner, George R.; Jung, Il Bong; Lee, Mi Ryeong; and Park, Sun Hyun. "Quadratically hyponormal weighted shifts with recursive tail." Journal of Mathematical Analysis and Applications (2013) : 298-305.