The Square Root Problem and Aluthge transforms of weighted shifts
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201600302
Abstract: In this paper we consider the following question. When does there exist a square root of a probability measure supported on R+? This question is naturally related to subnormality of weighted shifts. The main result… read more here.
Keywords: probability; square root; aluthge; measure ... See more keywords
Hamburger-type weighted shifts: Jumping flatness and Aluthge transforms
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124592
Abstract: Abstract In this paper, we introduce a new kind of flatness, namely “jumping flatness,” of a Hamburger-type weighted shift; we characterize jumping flatness of a nonsubnormal Hamburger-type weighted shift W α and obtain the expression… read more here.
Keywords: jumping flatness; type weighted; hamburger type; aluthge ... See more keywords