Eigenvectors and cyclic vectors of bilateral weighted shifts. II: Simply invariant subspaces

1983 ◽  
Vol 6 (1) ◽  
pp. 515-524 ◽  
Author(s):  
Domingo A. Herrero
Keyword(s):  
Invariant Subspaces ◽  
Weighted Shifts ◽  
Cyclic Vectors

Cyclic Vectors of Lambert's Weighted Shifts

1980 ◽  
Vol 80 (1) ◽  
pp. 100
Author(s):  
B. S. Yadav ◽  
S. Chatterjee
Keyword(s):  
Weighted Shifts ◽  
Cyclic Vectors

On the Unicellularity of Weighted Shifts

1971 ◽  
Vol 12 (3) ◽  
pp. 342-350 ◽  
Author(s):  
K. J. Harrison
Keyword(s):  
Banach Space ◽  
Sequence Space ◽  
Ordered Set ◽  
Invariant Subspaces ◽  
Weighted Shift ◽  
Weighted Shifts ◽  
Totally Ordered Set

An operator acting on a Banach space is said to be unicellular if its lattice of invariant subspaces is totally ordered by inclusion. Each weighted shift on a sequence space has a natural totally ordered set of invariant subspaces, and is unicellular if these are its only invariant subspaces.

scholarly journals Cyclic vectors of Lambert’s weighted shifts

1980 ◽  
Vol 80 (1) ◽  
pp. 100-100
Author(s):  
B. S. Yadav ◽  
S. Chatterjee
Keyword(s):  
Weighted Shifts ◽  
Cyclic Vectors

scholarly journals Cyclic vectors of weighted shifts on $l\sp{p}$ spaces

1980 ◽  
Vol 80 (1) ◽  
pp. 95-95
Author(s):  
B. S. Yadav ◽  
S. Chatterjee
Keyword(s):  
Weighted Shifts ◽  
Cyclic Vectors

scholarly journals Invariant subspaces of a direct sum of weighted shifts

1968 ◽  
Vol 27 (3) ◽  
pp. 587-598 ◽  
Author(s):  
Eric Nordgren
Keyword(s):  
Invariant Subspaces ◽  
Weighted Shifts ◽  
Direct Sum

Cyclic Vectors of Weighted Shifts on l p Spaces

1980 ◽  
Vol 80 (1) ◽  
pp. 95
Author(s):  
B. S. Yadav ◽  
S. Chatterjee
Keyword(s):  
Weighted Shifts ◽  
Cyclic Vectors
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