scholarly journals Hankel operators, invariant subspaces, and cyclic vectors in the Drury-Arveson space

2015 ◽  
Vol 144 (6) ◽  
pp. 2575-2586 ◽  
Author(s):  
Stefan Richter ◽  
James Sunkes
Keyword(s):  
Invariant Subspaces ◽  
Hankel Operators ◽  
Cyclic Vectors ◽  
Arveson Space

scholarly journals On a class of shift-invariant subspaces of the Drury-Arveson space

2018 ◽  
Vol 5 (1) ◽  
pp. 1-8
Author(s):  
Nicola Arcozzi ◽  
Matteo Levi
Keyword(s):  
Invariant Subspace ◽  
Invariant Subspaces ◽  
Hankel Operators ◽  
Taylor Coefficients ◽  
The Right ◽  
Arveson Space

Abstract In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in a set Y⊂ ℕd with the property that ℕ\X + ej ⊂ ℕ\X for all j = 1, . . . , d. This is an easy example of shift-invariant subspace, which can be considered as a RKHS in is own right, with a kernel that can be explicitly calculated for specific choices of X. Every such a space can be seen as an intersection of kernels of Hankel operators with explicit symbols. Finally, this is the right space on which Drury’s inequality can be optimally adapted to a sub-family of the commuting and contractive operators originally considered by Drury.

Hankel operators and invariant subspaces of the Dirichlet space

2015 ◽  
Vol 91 (2) ◽  
pp. 423-438 ◽  
Author(s):  
Shuaibing Luo ◽  
Stefan Richter
Keyword(s):  
Dirichlet Space ◽  
Invariant Subspaces ◽  
Hankel Operators

scholarly journals Cyclic vectors and invariant subspaces for the backward shift operator

1970 ◽  
Vol 20 (1) ◽  
pp. 37-76 ◽  
Author(s):  
R. G. Douglas ◽  
H. S. Shapiro ◽  
A. L. Shields
Keyword(s):  
Shift Operator ◽  
Invariant Subspaces ◽  
Cyclic Vectors ◽  
Backward Shift

scholarly journals Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators

2001 ◽  
Vol 187 (2) ◽  
pp. 308-342 ◽  
Author(s):  
Kunyu Guo ◽  
Dechao Zheng
Keyword(s):  
Invariant Subspaces ◽  
Hankel Operators

Invariant Subspaces on KPC-Hypergroups

2019 ◽  
Vol 15 (1) ◽  
pp. 122-130
Author(s):  
Laszlo Szekelyhidi ◽  
◽  
Seyyed Mohammad Tabatabaie ◽  
Keyword(s):  
Invariant Subspaces
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