Stability of semigroups of operators and spectral subspaces

2002 ◽  
Vol 64 (3) ◽  
pp. 337-354 ◽  
Author(s):  
Ralph deLaubenfels ◽  
Vũ Quôc Phóng ◽  
Shengwang Wang
2010 ◽  
Vol 6 (1) ◽  
pp. 113-119
Author(s):  
Farhad Jafari ◽  
Zbigniew Slodkowski ◽  
Thomas Tonev

1997 ◽  
Vol 98 (1) ◽  
pp. 189-207 ◽  
Author(s):  
R. DeLaubenfels ◽  
Z. Huang ◽  
S. Wang ◽  
Y. Wang

2015 ◽  
Vol 92 (2) ◽  
pp. 311-334
Author(s):  
H. S. Mustafayev

1990 ◽  
Vol 13 (1) ◽  
pp. 135-138
Author(s):  
A. B. Thaheem ◽  
Noor Mohammad

Let{αt:t∈R}and{βt:t∈R}be two commuting one-parameter groups of∗-automorphisms of a von Neumann algebraMsuch thatαt+α−t=βt+β−tfor allt∈R. The purpose of this note is to provide a simple and short proof of the central decomposition result:αt=βtonMpand aαt=β−tonM(1−p)for a central projectionp∈M, without using the theory of spectral subspaces.


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