scholarly journals Generalized powers and measures

2021 ◽  
Vol 41 (6) ◽  
pp. 747-754
Author(s):  
Zbigniew Burdak ◽  
Marek Kosiek ◽  
Patryk Pagacz ◽  
Krzysztof Rudol ◽  
Marek Słociński

Using the winding of measures on torus in "rational directions" special classes of unitary operators and pairs of isometries are defined. This provides nontrivial examples of generalized powers. Operators related to winding Szegö-singular measures are shown to have specific properties of their invariant subspaces.

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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