Sufficiently high powers of hyponormal operators have rationally invariant subspaces

1978 ◽  
Vol 1 (3) ◽  
pp. 444-447 ◽  
Author(s):  
Charles A. Berger
2001 ◽  
Vol 28 (6) ◽  
pp. 359-365
Author(s):  
Vasile Lauric

We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.


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

Author(s):  
Heydar Radjavi ◽  
Peter Rosenthal
Keyword(s):  

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