Quadratically hyponormal weighted shifts with two equal weights

2000 ◽  
Vol 37 (2) ◽  
pp. 208-231 ◽  
Author(s):  
Ra�l E. Curto ◽  
Il Bong Jung
Keyword(s):  
Weighted Shifts ◽  
Quadratically Hyponormal

Quadratically hyponormal weighted shifts and their examples

2000 ◽  
Vol 36 (4) ◽  
pp. 480-498 ◽  
Author(s):  
Il Bong Jung ◽  
Sang Soo Park
Keyword(s):  
Weighted Shifts ◽  
Quadratically Hyponormal

Quadratically Hyponormal Recursively Generated Weighted Shifts

2008 ◽  
pp. 141-155
Author(s):  
Yanwu Dong ◽  
George Exner ◽  
Il Bong Jung ◽  
Chunji Li
Keyword(s):  
Weighted Shifts ◽  
Quadratically Hyponormal

BACKWARD 3-STEP EXTENSIONS OF RECURSIVELY GENERATED WEIGHTED SHIFTS: A RANGE OF QUADRATIC HYPONORMALITY

2013 ◽  
Vol 89 (3) ◽  
pp. 488-493
Author(s):  
GEORGE R. EXNER ◽  
IL BONG JUNG ◽  
MI RYEONG LEE ◽  
SUN HYUN PARK
Keyword(s):  
Open Problem ◽  
Weighted Shift ◽  
Real Numbers ◽  
Weighted Shifts ◽  
Positive Real ◽  
Weight Sequence ◽  
Weighted Sequence ◽  
Quadratically Hyponormal

AbstractLet $\alpha : 1, 1, \sqrt{x} , \mathop{( \sqrt{u} , \sqrt{v} , \sqrt{w} )}\nolimits ^{\wedge } $ be a backward 3-step extension of a recursively generated weighted sequence of positive real numbers with $1\leq x\leq u\leq v\leq w$ and let ${W}_{\alpha } $ be the associated weighted shift with weight sequence $\alpha $. The set of positive real numbers $x$ such that ${W}_{\alpha } $ is quadratically hyponormal for some $u, v$ and $w$ is described, solving an open problem due to Curto and Jung [‘Quadratically hyponormal weighted shifts with two equal weights’, Integr. Equ. Oper. Theory 37 (2000), 208–231].

scholarly journals Quadratically hyponormal weighted shifts with recursive tail

2013 ◽  
Vol 408 (1) ◽  
pp. 298-305 ◽  
Author(s):  
George R. Exner ◽  
Il Bong Jung ◽  
Mi Ryeong Lee ◽  
Sun Hyun Park
Keyword(s):  
Weighted Shifts ◽  
Quadratically Hyponormal

Some Quadratically Hyponormal Weighted Shifts

2007 ◽  
Vol 60 (1) ◽  
pp. 13-36 ◽  
Author(s):  
George Exner ◽  
Il Bong Jung ◽  
Dongwan Park
Keyword(s):  
Weighted Shifts ◽  
Quadratically Hyponormal

Reducing subspaces for the product of a forward and a backward operator-weighted shifts

2021 ◽  
Vol 501 (2) ◽  
pp. 125206
Author(s):  
Xu Tang ◽  
Caixing Gu ◽  
Yufeng Lu ◽  
Yanyue Shi
Keyword(s):  
Weighted Shifts ◽  
Reducing Subspaces
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