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

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

Invariant Subspaces on KPC-Hypergroups

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

Operators induced by weighted Toeplitz and weighted Hankel operators

2018 ◽  
Vol 48 (2) ◽  
pp. 99-111
Author(s):  
Gopal Datt ◽  
Anshika Mittal
Keyword(s):  
Hankel Operators

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

Invariant Subspaces

1973 ◽  
Author(s):  
Heydar Radjavi ◽  
Peter Rosenthal
Keyword(s):  
Invariant Subspaces
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